Alalhareth, Fawaz K.; Mendez, Ana Clarisa; Kojouharov, Hristo V. A simple model of nutrient recycling and dormancy in a chemostat: mathematical analysis and a second-order nonstandard finite difference method. (English) Zbl 07822406 Commun. Nonlinear Sci. Numer. Simul. 132, Article ID 107940, 16 p. (2024). MSC: 65L12 92E99 PDFBibTeX XMLCite \textit{F. K. Alalhareth} et al., Commun. Nonlinear Sci. Numer. Simul. 132, Article ID 107940, 16 p. (2024; Zbl 07822406) Full Text: DOI
Wang, Yang; Sun, Shuyu Multipoint stress mixed finite element methods for linear viscoelasticity with weak symmetry. (English) Zbl 07822388 Commun. Nonlinear Sci. Numer. Simul. 132, Article ID 107913, 27 p. (2024). MSC: 74Sxx PDFBibTeX XMLCite \textit{Y. Wang} and \textit{S. Sun}, Commun. Nonlinear Sci. Numer. Simul. 132, Article ID 107913, 27 p. (2024; Zbl 07822388) Full Text: DOI
Shi, Pengpeng; Zeng, Zhi; Liang, Tianshou Physics-informed ConvNet: learning physical field from a shallow neural network. (English) Zbl 07822386 Commun. Nonlinear Sci. Numer. Simul. 132, Article ID 107911, 28 p. (2024). MSC: 65M99 68T05 65M06 65N06 65D05 65M12 41A58 60F10 34A34 35Q79 35Q55 35Q41 35R02 PDFBibTeX XMLCite \textit{P. Shi} et al., Commun. Nonlinear Sci. Numer. Simul. 132, Article ID 107911, 28 p. (2024; Zbl 07822386) Full Text: DOI arXiv
Das, Debabrata; Dhar, Subham; Kairi, Rishi Raj; Mondal, Kajal Kumar; Poddar, Nanda Analysis of environmental transport of suspended sediment particles in a tidal wetland flow under the effect of floating vegetation absorption. (English) Zbl 07822365 Commun. Nonlinear Sci. Numer. Simul. 132, Article ID 107888, 23 p. (2024). MSC: 76Mxx 76Txx 76Fxx PDFBibTeX XMLCite \textit{D. Das} et al., Commun. Nonlinear Sci. Numer. Simul. 132, Article ID 107888, 23 p. (2024; Zbl 07822365) Full Text: DOI
Guan, Zhen; Li, Meng; Wang, Junjun The nonconforming virtual element method for Sobolev equations with Burger’s type nonlinearity. (English) Zbl 07810071 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107881, 15 p. (2024). MSC: 65M60 65M06 65N30 65M15 65M12 65H10 41A25 35A15 35Q53 PDFBibTeX XMLCite \textit{Z. Guan} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107881, 15 p. (2024; Zbl 07810071) Full Text: DOI
Wang, Yan; Xiao, Xufeng; Feng, Xinlong Numerical simulation for the conserved Allen-Cahn phase field model of two-phase incompressible flows by an efficient dimension splitting method. (English) Zbl 07810065 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107874, 20 p. (2024). MSC: 65M06 65Y05 76T99 76M20 PDFBibTeX XMLCite \textit{Y. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107874, 20 p. (2024; Zbl 07810065) Full Text: DOI
Pan, Mingyang; Liu, Sifu; Zhu, Wenxing; Jiao, Fengyu; He, Dongdong A linear, second-order accurate, positivity-preserving and unconditionally energy stable scheme for the Navier-Stokes-Poisson-Nernst-Planck system. (English) Zbl 07810064 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107873, 21 p. (2024). MSC: 65N06 65M06 65M12 76W05 76D07 76M20 78A35 78A57 78M20 35A24 35Q35 35Q60 PDFBibTeX XMLCite \textit{M. Pan} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107873, 21 p. (2024; Zbl 07810064) Full Text: DOI
Gao, Tian; Yuan, Si-Min; Liu, Yong-Qiang; Cao, Shu-Qian; Yang, Shao-Pu Paroxysmal impulse vibration analysis of an aero-engine dual-rotor system with a defective inner ring for the inter-shaft bearing. (English) Zbl 07810057 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107864, 20 p. (2024). MSC: 74H45 74H15 74S20 PDFBibTeX XMLCite \textit{T. Gao} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107864, 20 p. (2024; Zbl 07810057) Full Text: DOI
Guo, Yayu; Azaïez, Mejdi; Xu, Chuanju An efficient numerical method for the anisotropic phase field dendritic crystal growth model. (English) Zbl 07810053 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107858, 15 p. (2024). MSC: 74S25 74S20 74E15 74E10 PDFBibTeX XMLCite \textit{Y. Guo} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107858, 15 p. (2024; Zbl 07810053) Full Text: DOI arXiv
Zhang, Yuting; Feng, Xinlong; Qian, Lingzhi A second-order \(L2\)-\(1_\sigma\) difference scheme for the nonlinear time-space fractional Schrödinger equation. (English) Zbl 07810037 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107839, 15 p. (2024). MSC: 65M06 65N06 65M12 65M15 65B05 26A33 35R11 35Q55 35Q41 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107839, 15 p. (2024; Zbl 07810037) Full Text: DOI
Yang, Junxiang Linear energy-stable method with correction technique for the Ohta-Kawasaki-Navier-Stokes model of incompressible diblock copolymer melt. (English) Zbl 07810033 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107835, 22 p. (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M06 65N06 65F20 65N55 65M12 65M15 76T06 76V05 76D05 76A05 76M20 82D60 35R10 35Q35 35Q82 PDFBibTeX XMLCite \textit{J. Yang}, Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107835, 22 p. (2024; Zbl 07810033) Full Text: DOI
Tan, Zhijun \(\alpha\)-robust analysis of fast and novel two-grid FEM with nonuniform \(\mathrm{L}1\) scheme for semilinear time-fractional variable coefficient diffusion equations. (English) Zbl 07810028 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107830, 21 p. (2024). MSC: 65M55 65M60 65M06 65N55 65N30 65N50 65M12 65M15 26A33 35R11 PDFBibTeX XMLCite \textit{Z. Tan}, Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107830, 21 p. (2024; Zbl 07810028) Full Text: DOI
Ham, Seokjun; Li, Yibao; Kwak, Soobin; Jeong, Darae; Kim, Junseok An efficient and fast adaptive numerical method for a novel phase-field model of crystal growth. (English) Zbl 07810026 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107822, 14 p. (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M06 65N06 80A22 80A19 35K05 74N05 35Q79 PDFBibTeX XMLCite \textit{S. Ham} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107822, 14 p. (2024; Zbl 07810026) Full Text: DOI
Xia, Qing; Zhu, Junxia; Yu, Qian; Kim, Junseok; Li, Yibao Triply periodic minimal surfaces based topology optimization for the hydrodynamic and convective heat transfer. (English) Zbl 07810023 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107819, 23 p. (2024). MSC: 65M06 65N06 65K10 76D07 76S05 76D55 80A19 74F10 74F05 49M41 53E10 76M20 35Q35 PDFBibTeX XMLCite \textit{Q. Xia} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107819, 23 p. (2024; Zbl 07810023) Full Text: DOI
Hussain, Altaf; Cheng, Wenming; Cao, Junyi; Du, Run Numerical analysis and experimental validation of nonlinear broadband monostable and bistable energy harvesters. (English) Zbl 07810014 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107808, 16 p. (2024). MSC: 74H45 74F15 74K10 74H60 74S20 74-05 PDFBibTeX XMLCite \textit{A. Hussain} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107808, 16 p. (2024; Zbl 07810014) Full Text: DOI
Liu, Lele; Zhang, Hong; Qian, Xu; Song, Songhe High-order, large time-stepping integrators for scalar hyperbolic conservation laws. (English) Zbl 07810012 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107806, 21 p. (2024). MSC: 65M06 65N06 65L06 35L65 35A24 35R07 PDFBibTeX XMLCite \textit{L. Liu} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107806, 21 p. (2024; Zbl 07810012) Full Text: DOI
Liu, Sheng-en; Ge, Yongbin; Wang, Shuaikang Conservative higher-order finite difference scheme for the coupled nonlinear Schrödinger equations. (English) Zbl 07810006 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107797, 20 p. (2024). MSC: 65M06 65N06 65M12 65M15 65B05 78A60 35Q55 35Q41 35Q60 PDFBibTeX XMLCite \textit{S.-e. Liu} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107797, 20 p. (2024; Zbl 07810006) Full Text: DOI
Guo, Feng; Dai, Weizhong Model and numerical method for soliton propagation through thermal medium based on nonlinear Schrödinger and heat transfer equations. (English) Zbl 07810002 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107790, 31 p. (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M06 65N06 65M12 65M15 35C08 35K05 78A60 74F15 74F05 35Q55 35Q41 35Q60 PDFBibTeX XMLCite \textit{F. Guo} and \textit{W. Dai}, Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107790, 31 p. (2024; Zbl 07810002) Full Text: DOI
Trofimowicz, Damian; Stefański, Tomasz P.; Gulgowski, Jacek; Talaśka, Tomasz Modelling and simulations in time-fractional electrodynamics based on control engineering methods. (English) Zbl 07801786 Commun. Nonlinear Sci. Numer. Simul. 129, Article ID 107720, 20 p. (2024). MSC: 78M20 78A25 78A40 35A20 93C20 49M41 33E12 65F15 35Q61 26A33 35R11 PDFBibTeX XMLCite \textit{D. Trofimowicz} et al., Commun. Nonlinear Sci. Numer. Simul. 129, Article ID 107720, 20 p. (2024; Zbl 07801786) Full Text: DOI
Antoine, Xavier; Gaidamour, Jérémie; Lorin, Emmanuel Normalized fractional gradient flow for nonlinear Schrödinger/Gross-Pitaevskii equations. (English) Zbl 07801761 Commun. Nonlinear Sci. Numer. Simul. 129, Article ID 107660, 18 p. (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M06 65N35 65M12 65N06 65F10 49M41 35Q55 35Q41 26A33 35R11 PDFBibTeX XMLCite \textit{X. Antoine} et al., Commun. Nonlinear Sci. Numer. Simul. 129, Article ID 107660, 18 p. (2024; Zbl 07801761) Full Text: DOI
Wang, Ran; Shi, Dongyang Superconvergence analysis of an \(H^1\)-Galerkin mixed FEM for Klein-Gordon-Zakharov equations with power law nonlinearity. (English) Zbl 07793590 Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107787, 11 p. (2024). MSC: 65M60 65M06 65N30 65M12 65M15 35R09 76Q05 76X05 82D10 35Q35 PDFBibTeX XMLCite \textit{R. Wang} and \textit{D. Shi}, Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107787, 11 p. (2024; Zbl 07793590) Full Text: DOI
Wang, Xiaoying; Xu, Jie; Fu, Hongfei A linearlized mass-conservative fourth-order block-centered finite difference method for the semilinear Sobolev equation with variable coefficients. (English) Zbl 07793582 Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107778, 23 p. (2024). MSC: 65M06 65N06 65B05 65M12 65M15 76A10 76M20 35Q35 PDFBibTeX XMLCite \textit{X. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107778, 23 p. (2024; Zbl 07793582) Full Text: DOI
Wu, Conghai; Luo, Yong; Han, Shuaibin; Li, Hu; Zhang, Shuhai Analysis of spectral properties of WENO schemes in smooth regions. (English) Zbl 07793581 Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107777, 25 p. (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M06 65N06 65L06 PDFBibTeX XMLCite \textit{C. Wu} et al., Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107777, 25 p. (2024; Zbl 07793581) Full Text: DOI
Zhang, Xiaodi; Zhou, Xianghai Stability and error analysis of the SAV schemes for the inductionless MHD equations. (English) Zbl 07793580 Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107776, 23 p. (2024). MSC: 65M60 65M06 65N30 65M12 65M15 76W05 76M10 76M20 35Q35 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{X. Zhou}, Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107776, 23 p. (2024; Zbl 07793580) Full Text: DOI arXiv
Kumari, Sarita; Pandey, Rajesh K. Alternating direction implicit approach for the two-dimensional time fractional nonlinear Klein-Gordon and sine-Gordon problems. (English) Zbl 07793575 Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107769, 25 p. (2024). MSC: 65M06 65N06 65M12 65M15 35B65 26A33 35R11 35Q53 PDFBibTeX XMLCite \textit{S. Kumari} and \textit{R. K. Pandey}, Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107769, 25 p. (2024; Zbl 07793575) Full Text: DOI
Amilo, David; Sadri, Khadijeh; Kaymakamzade, Bilgen; Hincal, Evren A mathematical model with fractional-order dynamics for the combined treatment of metastatic colorectal cancer. (English) Zbl 07793563 Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107756, 29 p. (2024). MSC: 81T80 65N06 93C20 PDFBibTeX XMLCite \textit{D. Amilo} et al., Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107756, 29 p. (2024; Zbl 07793563) Full Text: DOI
Zhang, Xiaodi; Li, Meng Analysis of a semi-implicit and structure-preserving finite element method for the incompressible MHD equations with magnetic-current formulation. (English) Zbl 07784316 Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107677, 22 p. (2024). MSC: 65M60 65M06 65M15 65N30 76W05 76M10 76M20 35B65 35Q35 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{M. Li}, Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107677, 22 p. (2024; Zbl 07784316) Full Text: DOI
Li, Yu; Li, Boxiao High-order exponential integrators for the Riesz space-fractional telegraph equation. (English) Zbl 07784264 Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107607, 16 p. (2024). MSC: 65L10 65L60 PDFBibTeX XMLCite \textit{Y. Li} and \textit{B. Li}, Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107607, 16 p. (2024; Zbl 07784264) Full Text: DOI
Jiang, Huiling; Hu, Dongdong Energy dissipation-preserving GSAV-Fourier-Galerkin spectral schemes for space-fractional nonlinear wave equations in multiple dimensions. (English) Zbl 07784247 Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107587, 19 p. (2024). MSC: 65M06 65M12 65T50 35R11 PDFBibTeX XMLCite \textit{H. Jiang} and \textit{D. Hu}, Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107587, 19 p. (2024; Zbl 07784247) Full Text: DOI
Xie, Wenxuan; Li, Yibao A novel estimation method for microstructural evolution based on data assimilation and phase field crystal model. (English) Zbl 1528.35201 Commun. Nonlinear Sci. Numer. Simul. 127, Article ID 107562, 20 p. (2023). MSC: 35Q82 82C26 82C31 65M06 65N06 82M20 81V45 PDFBibTeX XMLCite \textit{W. Xie} and \textit{Y. Li}, Commun. Nonlinear Sci. Numer. Simul. 127, Article ID 107562, 20 p. (2023; Zbl 1528.35201) Full Text: DOI
Qing, Jiajuan; Zhou, Shisheng; Wu, Jimei; Shao, Mingyue Nonlinear dynamics of fractional viscoelastic PET membranes with linearly varying density. (English) Zbl 07759142 Commun. Nonlinear Sci. Numer. Simul. 127, Article ID 107559, 13 p. (2023). MSC: 74H45 74K15 74D05 74S40 74S20 PDFBibTeX XMLCite \textit{J. Qing} et al., Commun. Nonlinear Sci. Numer. Simul. 127, Article ID 107559, 13 p. (2023; Zbl 07759142) Full Text: DOI
Slunyaev, A. V.; Kokorina, A. V.; Pelinovsky, E. N. Nonlinear waves, modulations and rogue waves in the modular Korteweg-de Vries equation. (English) Zbl 1527.35361 Commun. Nonlinear Sci. Numer. Simul. 127, Article ID 107527, 18 p. (2023). MSC: 35Q53 35Q55 35Q41 35C08 35B35 35B20 65M70 65M06 65N35 PDFBibTeX XMLCite \textit{A. V. Slunyaev} et al., Commun. Nonlinear Sci. Numer. Simul. 127, Article ID 107527, 18 p. (2023; Zbl 1527.35361) Full Text: DOI arXiv
Salman, Amer M.; Mohd, Mohd Hafiz; Muhammad, Ahmed A novel approach to investigate the stability analysis and the dynamics of reaction-diffusion SVIR epidemic model. (English) Zbl 1528.35214 Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107517, 17 p. (2023). MSC: 35Q92 92C60 65M20 65N06 35P15 35D35 92-08 PDFBibTeX XMLCite \textit{A. M. Salman} et al., Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107517, 17 p. (2023; Zbl 1528.35214) Full Text: DOI
Li, Panchi; Gu, Shuting; Lan, Jin; Chen, Jingrun; Ren, Weiqing; Du, Rui Micromagnetics simulations and phase transitions of ferromagnetics with Dzyaloshinskii-Moriya interaction. (English) Zbl 1528.35199 Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107512, 16 p. (2023). MSC: 35Q82 82D40 82C26 35C08 35R09 65M06 65N06 PDFBibTeX XMLCite \textit{P. Li} et al., Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107512, 16 p. (2023; Zbl 1528.35199) Full Text: DOI arXiv
Gao, Shiqi; Liu, Jinkun Adaptive control for a class of flexible mechanical systems with bending deformation and torsion deformation in the presence of nonlinear time-varying actuator faults and unknown control directions. (English) Zbl 1527.35412 Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107456, 15 p. (2023). MSC: 35Q74 74H15 74M05 74H55 74S20 PDFBibTeX XMLCite \textit{S. Gao} and \textit{J. Liu}, Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107456, 15 p. (2023; Zbl 1527.35412) Full Text: DOI
Cubillos, Pablo; López-Gómez, Julián; Tellini, Andrea Global structure of the set of 1-node solutions in a class of degenerate diffusive logistic equations. (English) Zbl 1518.65144 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107389, 24 p. (2023). MSC: 65P30 65N06 35J25 35J60 PDFBibTeX XMLCite \textit{P. Cubillos} et al., Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107389, 24 p. (2023; Zbl 1518.65144) Full Text: DOI
Ding, Hengfei The construction of an optimal fourth-order fractional-compact-type numerical differential formula of the Riesz derivative and its application. (English) Zbl 1512.65178 Commun. Nonlinear Sci. Numer. Simul. 123, Article ID 107272, 34 p. (2023). MSC: 65M06 35R11 PDFBibTeX XMLCite \textit{H. Ding}, Commun. Nonlinear Sci. Numer. Simul. 123, Article ID 107272, 34 p. (2023; Zbl 1512.65178) Full Text: DOI
Zhang, Jinjian; Ma, Zhenyue; Wang, Xueni; Zhang, Leike The stability analysis and nonlinear vibration control of shaft system for hydraulic generating set under multi-source excitation considering effects of dynamic and static eccentricities. (English) Zbl 1517.74048 Commun. Nonlinear Sci. Numer. Simul. 121, Article ID 107230, 24 p. (2023). MSC: 74H55 74H60 74H45 74S20 PDFBibTeX XMLCite \textit{J. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 121, Article ID 107230, 24 p. (2023; Zbl 1517.74048) Full Text: DOI
Guo, Youming; Li, Tingting Fractional-order modeling and optimal control of a new online game addiction model based on real data. (English) Zbl 1509.91029 Commun. Nonlinear Sci. Numer. Simul. 121, Article ID 107221, 22 p. (2023). MSC: 91D30 26A33 34C60 34D23 49K21 49N90 65M06 PDFBibTeX XMLCite \textit{Y. Guo} and \textit{T. Li}, Commun. Nonlinear Sci. Numer. Simul. 121, Article ID 107221, 22 p. (2023; Zbl 1509.91029) Full Text: DOI
Wang, Jiacheng; Liu, Jinkun; Ji, Biao; He, Yundong; Xia, Sigang; Zhou, Yongping Vibration suppression and boundary control for nonlinear flexible rotating manipulator in three-dimensional space subject to output restrictions. (English) Zbl 1512.93100 Commun. Nonlinear Sci. Numer. Simul. 120, Article ID 107151, 15 p. (2023). MSC: 93C85 93C20 93D30 65M06 PDFBibTeX XMLCite \textit{J. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 120, Article ID 107151, 15 p. (2023; Zbl 1512.93100) Full Text: DOI
Su, Haiyan; Zhang, Guo-Dong Energy stable schemes with second order temporal accuracy and decoupled structure for diffuse interface model of two-phase magnetohydrodynamics. (English) Zbl 1508.65134 Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107126, 21 p. (2023). MSC: 65M60 65M06 65N30 76W05 76T06 76M10 76M20 35Q35 PDFBibTeX XMLCite \textit{H. Su} and \textit{G.-D. Zhang}, Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107126, 21 p. (2023; Zbl 1508.65134) Full Text: DOI
Wang, Xiaofeng An energy-preserving finite difference scheme with fourth-order accuracy for the generalized Camassa-Holm equation. (English) Zbl 1508.65112 Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107121, 20 p. (2023). MSC: 65M06 65N06 65M12 65M15 35B30 35A01 35A02 35Q53 PDFBibTeX XMLCite \textit{X. Wang}, Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107121, 20 p. (2023; Zbl 1508.65112) Full Text: DOI
Dorodnitsyn, V. A.; Kaptsov, E. I.; Meleshko, S. V. Lie group symmetry analysis and invariant difference schemes of the two-dimensional shallow water equations in Lagrangian coordinates. (English) Zbl 1510.76132 Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107119, 18 p. (2023). Reviewer: Jean-Claude Ndogmo (Thohoyandou) MSC: 76M60 76M20 76B10 PDFBibTeX XMLCite \textit{V. A. Dorodnitsyn} et al., Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107119, 18 p. (2023; Zbl 1510.76132) Full Text: DOI arXiv
Alqhtani, Manal; Owolabi, Kolade M.; Saad, Khaled M.; Pindza, Edson Spatiotemporal chaos in spatially extended fractional dynamical systems. (English) Zbl 1508.92193 Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107118, 25 p. (2023). MSC: 92D25 37D45 26A33 35K57 65M06 PDFBibTeX XMLCite \textit{M. Alqhtani} et al., Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107118, 25 p. (2023; Zbl 1508.92193) Full Text: DOI
Shen, Yiqing; Li, Shiyao; Liu, Shengping; Cui, Kai; Zheng, Guannan A robust common-weights WENO scheme based on the flux vector splitting for Euler equations. (English) Zbl 1508.65111 Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107112, 16 p. (2023). MSC: 65M06 65L06 76N15 76M20 35Q31 PDFBibTeX XMLCite \textit{Y. Shen} et al., Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107112, 16 p. (2023; Zbl 1508.65111) Full Text: DOI
Kaur, Navjot; Goyal, Kavita An adaptive stochastic investigation of partial differential equations using wavelet collocation generalized polynomial chaos method. (English) Zbl 1508.65142 Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107110, 19 p. (2023). MSC: 65M70 65M06 65N35 65T60 65D07 65F08 65F35 60H35 35R60 PDFBibTeX XMLCite \textit{N. Kaur} and \textit{K. Goyal}, Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107110, 19 p. (2023; Zbl 1508.65142) Full Text: DOI
Ma, Tingting; Zheng, Qianqian; Fu, Yayun Optimal error estimation of two fast structure-preserving algorithms for the Riesz fractional sine-Gordon equation. (English) Zbl 1508.65108 Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107067, 15 p. (2023). MSC: 65M06 65N06 65M12 15B05 35C08 26A33 35R11 35Q53 PDFBibTeX XMLCite \textit{T. Ma} et al., Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107067, 15 p. (2023; Zbl 1508.65108) Full Text: DOI
Liao, Feng; Geng, Fazhan; Wang, Tingchun Two energy-preserving Fourier pseudo-spectral methods and error estimate for the Klein-Gordon-Dirac system. (English) Zbl 1505.65249 Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107064, 23 p. (2023). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{F. Liao} et al., Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107064, 23 p. (2023; Zbl 1505.65249) Full Text: DOI
Shi, Dongyang; Li, Chaoqun A linearized decoupled Crank-Nicolson FEM for Keller-Segel chemotactic model with nonlinear secretion. (English) Zbl 1508.65133 Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107063, 25 p. (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M06 65N30 65M12 92C17 35Q92 PDFBibTeX XMLCite \textit{D. Shi} and \textit{C. Li}, Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107063, 25 p. (2023; Zbl 1508.65133) Full Text: DOI
Li, Yibao; Yang, Junxiang Consistency-enhanced SAV BDF2 time-marching method with relaxation for the incompressible Cahn-Hilliard-Navier-Stokes binary fluid model. (English) Zbl 1508.65107 Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107055, 24 p. (2023). MSC: 65M06 76D55 76T30 76M20 35Q35 PDFBibTeX XMLCite \textit{Y. Li} and \textit{J. Yang}, Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107055, 24 p. (2023; Zbl 1508.65107) Full Text: DOI
Kang, Yuanyuan; Liao, Hong-lin; Wang, Jindi An energy stable linear BDF2 scheme with variable time-steps for the molecular beam epitaxial model without slope selection. (English) Zbl 1508.65105 Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107047, 18 p. (2023). Reviewer: Qifeng Zhang (Hangzhou) MSC: 65M06 65N35 65M12 65M15 65B05 35R09 76A20 76M20 35Q35 PDFBibTeX XMLCite \textit{Y. Kang} et al., Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107047, 18 p. (2023; Zbl 1508.65105) Full Text: DOI
Garcia, F.; Ogbonna, J.; Giesecke, A.; Stefani, F. High dimensional tori and chaotic and intermittent transients in magnetohydrodynamic Couette flows. (English) Zbl 1516.76030 Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107030, 23 p. (2023). MSC: 76E25 76W05 76M99 76M20 PDFBibTeX XMLCite \textit{F. Garcia} et al., Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107030, 23 p. (2023; Zbl 1516.76030) Full Text: DOI
Villó-Pérez, Isidro; Alcover-Garau, Pedro-María; Campo-Valera, María; Toledo-Moreo, Rafael A novel 1D-FDTD scheme to solve the nonlinear second-order thermoviscous hydrodynamic model. (English) Zbl 1516.76057 Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107015, 13 p. (2023). MSC: 76M20 76Q05 76N06 80A19 PDFBibTeX XMLCite \textit{I. Villó-Pérez} et al., Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107015, 13 p. (2023; Zbl 1516.76057) Full Text: DOI
Dong, Hao; Cui, Junzhi; Nie, Yufeng; Ma, Ruyun; Jin, Ke; Huang, Dongmei Multi-scale computational method for nonlinear dynamic thermo-mechanical problems of composite materials with temperature-dependent properties. (English) Zbl 1515.74071 Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107000, 38 p. (2023). Reviewer: Hendrik Ranocha (Hamburg) MSC: 74S05 74S20 74F05 74E30 PDFBibTeX XMLCite \textit{H. Dong} et al., Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 107000, 38 p. (2023; Zbl 1515.74071) Full Text: DOI
Rawani, Mukesh Kumar; Verma, Amit Kumar; Cattani, Carlo A novel hybrid approach for computing numerical solution of the time-fractional nonlinear one and two-dimensional partial integro-differential equation. (English) Zbl 1508.65110 Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 106986, 20 p. (2023). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 65M06 65N35 65D32 65M12 65M15 65T60 35R09 26A33 35R11 PDFBibTeX XMLCite \textit{M. K. Rawani} et al., Commun. Nonlinear Sci. Numer. Simul. 118, Article ID 106986, 20 p. (2023; Zbl 1508.65110) Full Text: DOI
Guo, Tao; Nikan, Omid; Qiu, Wenlin; Xu, Da Localized meshless approaches based on theta method and BDF2 for nonlinear Sobolev equation arising from fluid dynamics. (English) Zbl 1504.65176 Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106989, 21 p. (2023). MSC: 65M06 65N35 65D12 65M12 74F10 74L10 76S05 35B35 74S20 76M20 35Q74 35Q35 PDFBibTeX XMLCite \textit{T. Guo} et al., Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106989, 21 p. (2023; Zbl 1504.65176) Full Text: DOI
Wu, Chunya; Feng, Xinlong; He, Yinnian; Qian, Lingzhi A second-order Strang splitting scheme with exponential integrating factor for the Allen-Cahn equation with logarithmic Flory-Huggins potential. (English) Zbl 1504.65182 Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106983, 15 p. (2023). MSC: 65M06 65L06 65M12 65M15 35K57 35Q35 PDFBibTeX XMLCite \textit{C. Wu} et al., Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106983, 15 p. (2023; Zbl 1504.65182) Full Text: DOI
Bu, Weiping; Yang, Huimin; Tang, Yifa Two fast numerical methods for a generalized Oldroyd-B fluid model. (English) Zbl 1504.65198 Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106963, 24 p. (2023). MSC: 65M60 65M06 65N30 65M15 76A10 76M10 76M20 35Q35 26A33 35R11 PDFBibTeX XMLCite \textit{W. Bu} et al., Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106963, 24 p. (2023; Zbl 1504.65198) Full Text: DOI
Zhang, Weiguo; Zhang, Kun; Li, Xiang; Ling, Xingqian Qualitative analysis of bounded traveling wave solutions to Nagumo nerve conduction equation and its approximate oscillatory solutions. (English) Zbl 1504.35594 Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106936, 26 p. (2023). MSC: 35Q92 92C20 35C07 35B05 35B40 65M06 65M15 92-08 PDFBibTeX XMLCite \textit{W. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106936, 26 p. (2023; Zbl 1504.35594) Full Text: DOI
Garralón-López, Rubén; Rus, Francisco; Villatoro, Francisco R. Compacton-anticompacton collisions in the Rosenau-Hyman \(K(p,p)\) equation by numerical simulations with hyperviscosity. (English) Zbl 1504.35442 Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106927, 16 p. (2023). MSC: 35Q53 35Q51 35C08 35D35 35B44 65M60 65D07 65M06 65L05 65N30 PDFBibTeX XMLCite \textit{R. Garralón-López} et al., Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106927, 16 p. (2023; Zbl 1504.35442) Full Text: DOI
Zhu, Chang-song; Fang, Xue-qian; Liu, Jin-xi Relationship between nonlinear free vibration behavior and nonlinear forced vibration behavior of viscoelastic plates. (English) Zbl 1510.74060 Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106926, 19 p. (2023). Reviewer: Girish Kumar Ramaiah (Bangalore) MSC: 74H45 74K20 74D05 74S20 PDFBibTeX XMLCite \textit{C.-s. Zhu} et al., Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106926, 19 p. (2023; Zbl 1510.74060) Full Text: DOI
Deng, Dingwen; Wang, Qihong A class of weighted energy-preserving Du Fort-Frankel difference schemes for solving sine-Gordon-type equations. (English) Zbl 1504.65171 Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106916, 30 p. (2023). MSC: 65M06 65N06 65M12 65M15 35L05 35Q53 PDFBibTeX XMLCite \textit{D. Deng} and \textit{Q. Wang}, Commun. Nonlinear Sci. Numer. Simul. 117, Article ID 106916, 30 p. (2023; Zbl 1504.65171) Full Text: DOI
Liu, Xing Difference methods for time discretization of spectral fractional stochastic wave equation. (English) Zbl 07609360 Commun. Nonlinear Sci. Numer. Simul. 116, Article ID 106863, 17 p. (2023). MSC: 65-XX 26A33 65M60 65L20 65C30 PDFBibTeX XMLCite \textit{X. Liu}, Commun. Nonlinear Sci. Numer. Simul. 116, Article ID 106863, 17 p. (2023; Zbl 07609360) Full Text: DOI arXiv
Shen, Quan; Ding, Rui; Yao, Yuan The element-free Galerkin method for the variational-hemivariational inequality of the dynamic Signorini-Tresca contact problems with friction in elastic materials. (English) Zbl 1500.65068 Commun. Nonlinear Sci. Numer. Simul. 116, Article ID 106816, 25 p. (2023). MSC: 65M60 65M06 65N30 65K10 49M41 74M10 74M15 74B10 74S05 74S20 35Q74 PDFBibTeX XMLCite \textit{Q. Shen} et al., Commun. Nonlinear Sci. Numer. Simul. 116, Article ID 106816, 25 p. (2023; Zbl 1500.65068) Full Text: DOI
Qiu, Wenlin; Xiao, Xu; Li, Kexin Second-order accurate numerical scheme with graded meshes for the nonlinear partial integrodifferential equation arising from viscoelasticity. (English) Zbl 1524.65978 Commun. Nonlinear Sci. Numer. Simul. 116, Article ID 106804, 19 p. (2023). MSC: 65R20 45K05 35R11 65M12 65M22 65M60 PDFBibTeX XMLCite \textit{W. Qiu} et al., Commun. Nonlinear Sci. Numer. Simul. 116, Article ID 106804, 19 p. (2023; Zbl 1524.65978) Full Text: DOI arXiv
Xia, Qing; Sun, Gangming; Yu, Qian; Kim, Junseok; Li, Yibao Thermal-fluid topology optimization with unconditional energy stability and second-order accuracy via phase-field model. (English) Zbl 1506.76034 Commun. Nonlinear Sci. Numer. Simul. 116, Article ID 106782, 22 p. (2023). MSC: 76D55 76D07 76S05 76M20 PDFBibTeX XMLCite \textit{Q. Xia} et al., Commun. Nonlinear Sci. Numer. Simul. 116, Article ID 106782, 22 p. (2023; Zbl 1506.76034) Full Text: DOI
Salman, Ahmed Khan; Pouyaei, Arman; Choi, Yunsoo; Lops, Yannic; Sayeed, Alqamah Deep learning solver for solving advection-diffusion equation in comparison to finite difference methods. (English) Zbl 1496.65127 Commun. Nonlinear Sci. Numer. Simul. 115, Article ID 106780, 16 p. (2022). MSC: 65M06 65N06 68T07 65M12 PDFBibTeX XMLCite \textit{A. K. Salman} et al., Commun. Nonlinear Sci. Numer. Simul. 115, Article ID 106780, 16 p. (2022; Zbl 1496.65127) Full Text: DOI
Karasözen, Bülent; Mülayim, Gülden; Uzunca, Murat Nonintrusive model order reduction for cross-diffusion systems. (English) Zbl 1501.65089 Commun. Nonlinear Sci. Numer. Simul. 115, Article ID 106734, 17 p. (2022). Reviewer: Zhen Chao (Milwaukee) MSC: 65N06 65D12 65F20 15A69 35A01 35K51 35K58 65L10 65L12 65L20 65L70 92D25 92C40 35Q92 PDFBibTeX XMLCite \textit{B. Karasözen} et al., Commun. Nonlinear Sci. Numer. Simul. 115, Article ID 106734, 17 p. (2022; Zbl 1501.65089) Full Text: DOI arXiv
Cardone, Angelamaria; Conte, Dajana; Paternoster, Beatrice Stability of two-step spline collocation methods for initial value problems for fractional differential equations. (English) Zbl 1495.65239 Commun. Nonlinear Sci. Numer. Simul. 115, Article ID 106726, 17 p. (2022). MSC: 65R20 34A08 65L60 65L05 65L20 PDFBibTeX XMLCite \textit{A. Cardone} et al., Commun. Nonlinear Sci. Numer. Simul. 115, Article ID 106726, 17 p. (2022; Zbl 1495.65239) Full Text: DOI
Wang, Yan; Xiao, Xufeng; Feng, Xinlong An accurate and parallel method with post-processing boundedness control for solving the anisotropic phase-field dendritic crystal growth model. (English) Zbl 07582456 Commun. Nonlinear Sci. Numer. Simul. 115, Article ID 106717, 19 p. (2022). MSC: 65Y05 74N05 65M06 PDFBibTeX XMLCite \textit{Y. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 115, Article ID 106717, 19 p. (2022; Zbl 07582456) Full Text: DOI
Zhang, Mengchen; Liu, Fawang; Turner, Ian W.; Anh, Vo V. A vertex-centred finite volume method for the 3D multi-term time and space fractional Bloch-Torrey equation with fractional Laplacian. (English) Zbl 1503.65206 Commun. Nonlinear Sci. Numer. Simul. 114, Article ID 106666, 20 p. (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65N08 65M12 65M15 65F10 65F08 65F50 33E12 26A33 35R11 78A50 35Q60 PDFBibTeX XMLCite \textit{M. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 114, Article ID 106666, 20 p. (2022; Zbl 1503.65206) Full Text: DOI
Hoang, Manh Tuan A novel second-order nonstandard finite difference method for solving one-dimensional autonomous dynamical systems. (English) Zbl 1503.65153 Commun. Nonlinear Sci. Numer. Simul. 114, Article ID 106654, 13 p. (2022). MSC: 65L12 65L05 PDFBibTeX XMLCite \textit{M. T. Hoang}, Commun. Nonlinear Sci. Numer. Simul. 114, Article ID 106654, 13 p. (2022; Zbl 1503.65153) Full Text: DOI arXiv
Wang, Yuanbin; Zhu, Weidong Supercritical nonlinear transverse vibration of a hyperelastic beam under harmonic axial loading. (English) Zbl 1491.74044 Commun. Nonlinear Sci. Numer. Simul. 112, Article ID 106536, 20 p. (2022). MSC: 74H45 74H60 74K10 74B20 74H10 74S20 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{W. Zhu}, Commun. Nonlinear Sci. Numer. Simul. 112, Article ID 106536, 20 p. (2022; Zbl 1491.74044) Full Text: DOI
Ngondiep, Eric A two-level fourth-order approach for time-fractional convection-diffusion-reaction equation with variable coefficients. (English) Zbl 1486.65121 Commun. Nonlinear Sci. Numer. Simul. 111, Article ID 106444, 30 p. (2022). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{E. Ngondiep}, Commun. Nonlinear Sci. Numer. Simul. 111, Article ID 106444, 30 p. (2022; Zbl 1486.65121) Full Text: DOI arXiv
Rao, S. Chandra Sekhara; Chaturvedi, Abhay Kumar Analysis and implementation of a computational technique for a coupled system of two singularly perturbed parabolic semilinear reaction-diffusion equations having discontinuous source terms. (English) Zbl 1480.65222 Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106232, 34 p. (2022). MSC: 65M06 65M12 65M15 65M22 PDFBibTeX XMLCite \textit{S. C. S. Rao} and \textit{A. K. Chaturvedi}, Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106232, 34 p. (2022; Zbl 1480.65222) Full Text: DOI
Le, Van Chien; Slodička, Marián; Van Bockstal, Karel Existence of a weak solution to a nonlinear induction hardening problem with Leblond-Devaux model for a steel workpiece. (English) Zbl 1483.35244 Commun. Nonlinear Sci. Numer. Simul. 107, Article ID 106156, 18 p. (2022). MSC: 35Q61 35Q79 78A25 78M20 65M06 65M15 65M12 80A22 80A19 35K05 35K61 PDFBibTeX XMLCite \textit{V. C. Le} et al., Commun. Nonlinear Sci. Numer. Simul. 107, Article ID 106156, 18 p. (2022; Zbl 1483.35244) Full Text: DOI
Karimipour, I.; Beni, Y. Tadi Nonlinear dynamic analysis of nonlocal composite laminated toroidal shell segments subjected to mechanical shock. (English) Zbl 1508.74019 Commun. Nonlinear Sci. Numer. Simul. 106, Article ID 106105, 33 p. (2022). MSC: 74H45 74K25 74E30 74S20 74H15 PDFBibTeX XMLCite \textit{I. Karimipour} and \textit{Y. T. Beni}, Commun. Nonlinear Sci. Numer. Simul. 106, Article ID 106105, 33 p. (2022; Zbl 1508.74019) Full Text: DOI
Young-S., Luis E.; Adhikari, S. K. Deep inelastic collision of two-dimensional anisotropic dipolar condensate solitons. (English) Zbl 1501.65091 Commun. Nonlinear Sci. Numer. Simul. 106, Article ID 106094, 13 p. (2022). MSC: 65N06 35Q55 35C08 82C10 82B10 76Y05 PDFBibTeX XMLCite \textit{L. E. Young-S.} and \textit{S. K. Adhikari}, Commun. Nonlinear Sci. Numer. Simul. 106, Article ID 106094, 13 p. (2022; Zbl 1501.65091) Full Text: DOI arXiv
Jannelli, Alessandra Adaptive numerical solutions of time-fractional advection-diffusion-reaction equations. (English) Zbl 07443082 Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106073, 14 p. (2022). MSC: 65Mxx 34Axx 65Lxx PDFBibTeX XMLCite \textit{A. Jannelli}, Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106073, 14 p. (2022; Zbl 07443082) Full Text: DOI
Panaro, D. B.; Mattei, M. R.; Esposito, G.; Steyer, J. P.; Capone, F.; Frunzo, L. A modelling and simulation study of anaerobic digestion in plug-flow reactors. (English) Zbl 1497.35387 Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106062, 19 p. (2022). MSC: 35Q35 35Q92 76Z10 76T10 76N15 92C45 92C75 92E20 65M06 76M20 92-08 PDFBibTeX XMLCite \textit{D. B. Panaro} et al., Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106062, 19 p. (2022; Zbl 1497.35387) Full Text: DOI arXiv
Chin, Pius W. M. The analysis of an efficient numerical scheme for the Allen-Cahn equations using the Galerkin method. (English) Zbl 07443073 Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106061, 14 p. (2022). MSC: 65Mxx 65Lxx 35Kxx PDFBibTeX XMLCite \textit{P. W. M. Chin}, Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106061, 14 p. (2022; Zbl 07443073) Full Text: DOI
Oruç, Ömer A strong-form local meshless approach based on radial basis function-finite difference (RBF-FD) method for solving multi-dimensional coupled damped Schrödinger system appearing in Bose-Einstein condensates. (English) Zbl 07428002 Commun. Nonlinear Sci. Numer. Simul. 104, Article ID 106042, 18 p. (2022). MSC: 65M70 65M06 65N35 65L06 65D12 65D07 65M12 65M15 35Q55 82C10 82M22 PDFBibTeX XMLCite \textit{Ö. Oruç}, Commun. Nonlinear Sci. Numer. Simul. 104, Article ID 106042, 18 p. (2022; Zbl 07428002) Full Text: DOI
Berjamin, Harold; Destrade, Michel A hyperbolic framework for shear sound beams in nonlinear solids. (English) Zbl 1478.35198 Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 106036, 16 p. (2021). MSC: 35Q74 74J10 74J30 74S10 74S20 65M08 65M06 65N08 PDFBibTeX XMLCite \textit{H. Berjamin} and \textit{M. Destrade}, Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 106036, 16 p. (2021; Zbl 1478.35198) Full Text: DOI arXiv
Popescu, M.; Popescu, P.; Ramos, H. Some new discretizations of the Euler-Lagrange equation. (English) Zbl 1492.65242 Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 106002, 14 p. (2021). MSC: 65M06 35Q31 37M15 39A12 PDFBibTeX XMLCite \textit{M. Popescu} et al., Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 106002, 14 p. (2021; Zbl 1492.65242) Full Text: DOI
Hemami, Mohammad; Rad, Jamal Amani; Parand, Kourosh Phase distribution control of neural oscillator populations using local radial basis function meshfree technique with application in epileptic seizures: a numerical simulation approach. (English) Zbl 1473.65106 Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105961, 36 p. (2021). MSC: 65M06 35Q92 65D12 92-08 92B25 PDFBibTeX XMLCite \textit{M. Hemami} et al., Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105961, 36 p. (2021; Zbl 1473.65106) Full Text: DOI
Ducharne, B.; Zhang, B.; Sebald, G. Fractional derivative resolution of the anomalous magnetic field diffusion through a ferromagnetic steel rod: application to eddy current testing. (English) Zbl 1481.78021 Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105953, 12 p. (2021). MSC: 78A60 35Q60 78M20 78-05 26A33 35R11 PDFBibTeX XMLCite \textit{B. Ducharne} et al., Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105953, 12 p. (2021; Zbl 1481.78021) Full Text: DOI HAL
Mejía, Luis Fernando; Muñoz Grajales, Juan Carlos Analytical and Rothe time-discretization method for a Boussinesq-type system over an uneven bottom. (English) Zbl 1472.65113 Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105951, 24 p. (2021). Reviewer: Abdallah Bradji (Annaba) MSC: 65M22 65M60 65M06 65N30 76B15 76B25 35Q35 PDFBibTeX XMLCite \textit{L. F. Mejía} and \textit{J. C. Muñoz Grajales}, Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105951, 24 p. (2021; Zbl 1472.65113) Full Text: DOI
Liu, Hongtao; Cai, Xiaofeng; Lapenta, Giovanni; Cao, Yong Conservative semi-Lagrangian kinetic scheme coupled with implicit finite element field solver for multidimensional Vlasov Maxwell system. (English) Zbl 1496.65167 Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105941, 18 p. (2021). MSC: 65M60 65M06 65N30 78A25 78M10 35Q83 35Q60 PDFBibTeX XMLCite \textit{H. Liu} et al., Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105941, 18 p. (2021; Zbl 1496.65167) Full Text: DOI
Bartosz, Krzysztof; Szafraniec, Paweł; Zhao, Jing Convergence of a double step scheme for a class of parabolic Clarke subdifferential inclusions. (English) Zbl 1468.65083 Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105940, 16 p. (2021). MSC: 65L12 34A60 34G25 47J22 49J40 49J45 49J52 PDFBibTeX XMLCite \textit{K. Bartosz} et al., Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105940, 16 p. (2021; Zbl 1468.65083) Full Text: DOI
Vinothkumar, C.; Deiveegan, A.; Nieto, J. J.; Prakash, P. Similarity solutions of fractional parabolic boundary value problems with uncertainty. (English) Zbl 1471.35318 Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105926, 11 p. (2021). MSC: 35R13 35K20 65M06 PDFBibTeX XMLCite \textit{C. Vinothkumar} et al., Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105926, 11 p. (2021; Zbl 1471.35318) Full Text: DOI
Du, Rui; Wang, Yanyan; Hao, Zhaopeng High-dimensional nonlinear Ginzburg-Landau equation with fractional Laplacian: discretization and simulations. (English) Zbl 1493.65128 Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105920, 20 p. (2021). MSC: 65M06 65N06 65M12 65N12 65M15 65T50 35Q56 26A33 35R11 PDFBibTeX XMLCite \textit{R. Du} et al., Commun. Nonlinear Sci. Numer. Simul. 102, Article ID 105920, 20 p. (2021; Zbl 1493.65128) Full Text: DOI
Pelinovsky, Dmitry E.; Slunyaev, Alexey V.; Kokorina, Anna V.; Pelinovsky, Efim N. Stability and interaction of compactons in the sublinear KdV equation. (English) Zbl 1473.35489 Commun. Nonlinear Sci. Numer. Simul. 101, Article ID 105855, 16 p. (2021). MSC: 35Q53 35B35 35C08 35C07 35C09 65M06 65T50 65L06 65M15 65M12 PDFBibTeX XMLCite \textit{D. E. Pelinovsky} et al., Commun. Nonlinear Sci. Numer. Simul. 101, Article ID 105855, 16 p. (2021; Zbl 1473.35489) Full Text: DOI arXiv
Zhou, Yanjiao; Wang, Quanxiang; Zhang, Zhiyue Physical properties preserving numerical simulation of stochastic fractional nonlinear wave equation. (English) Zbl 1481.60125 Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105832, 20 p. (2021). MSC: 60H15 65M06 65C30 35R60 35R11 PDFBibTeX XMLCite \textit{Y. Zhou} et al., Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105832, 20 p. (2021; Zbl 1481.60125) Full Text: DOI
Stefański, Tomasz P. On possible applications of media described by fractional-order models in electromagnetic cloaking. (English) Zbl 1472.78022 Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105827, 14 p. (2021). Reviewer: David Kapanadze (Tbilisi) MSC: 78A45 78A25 78A40 78A55 35R11 35Q60 78M20 PDFBibTeX XMLCite \textit{T. P. Stefański}, Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105827, 14 p. (2021; Zbl 1472.78022) Full Text: DOI
Lukyanenko, D. V.; Borzunov, A. A.; Shishlenin, M. A. Solving coefficient inverse problems for nonlinear singularly perturbed equations of the reaction-diffusion-advection type with data on the position of a reaction front. (English) Zbl 1471.65123 Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105824, 10 p. (2021). MSC: 65M32 35R30 35R25 65M06 65J20 65K10 35B25 35B40 35Q53 PDFBibTeX XMLCite \textit{D. V. Lukyanenko} et al., Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105824, 10 p. (2021; Zbl 1471.65123) Full Text: DOI
Hu, Dongdong; Cai, Wenjun; Fu, Yayun; Wang, Yushun Fast dissipation-preserving difference scheme for nonlinear generalized wave equations with the integral fractional Laplacian. (English) Zbl 1471.65102 Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105786, 24 p. (2021). MSC: 65M06 65M12 65T50 65F08 65F10 35L05 35R11 PDFBibTeX XMLCite \textit{D. Hu} et al., Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105786, 24 p. (2021; Zbl 1471.65102) Full Text: DOI
Nikan, O.; Avazzadeh, Z.; Machado, J. A. Tenreiro Numerical approximation of the nonlinear time-fractional telegraph equation arising in neutron transport. (English) Zbl 1471.65162 Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105755, 22 p. (2021). MSC: 65M70 65M06 65N06 65M12 65D12 82D75 35R11 PDFBibTeX XMLCite \textit{O. Nikan} et al., Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105755, 22 p. (2021; Zbl 1471.65162) Full Text: DOI
Sun, Wanquan; Guo, Zhiqiang Mathematical modeling and nonlinear vibration analysis of a coupled hydro-generator shaft-foundation system. (English) Zbl 1464.74073 Commun. Nonlinear Sci. Numer. Simul. 98, Article ID 105776, 21 p. (2021). MSC: 74H45 74H50 74S20 PDFBibTeX XMLCite \textit{W. Sun} and \textit{Z. Guo}, Commun. Nonlinear Sci. Numer. Simul. 98, Article ID 105776, 21 p. (2021; Zbl 1464.74073) Full Text: DOI
Vo, N. Y. P.; Nguyen, M. K.; Le, T. D. Analytical study of a pneumatic vibration isolation platform featuring adjustable stiffness. (English) Zbl 1464.74076 Commun. Nonlinear Sci. Numer. Simul. 98, Article ID 105775, 24 p. (2021). MSC: 74H45 74H15 74S20 PDFBibTeX XMLCite \textit{N. Y. P. Vo} et al., Commun. Nonlinear Sci. Numer. Simul. 98, Article ID 105775, 24 p. (2021; Zbl 1464.74076) Full Text: DOI
He, Qiaolin; Shi, Xiaoding Energy stable discontinuous Galerkin method for compressible Navier-Stokes-Allen-Cahn system. (English) Zbl 1471.65141 Commun. Nonlinear Sci. Numer. Simul. 98, Article ID 105771, 19 p. (2021). MSC: 65M60 65M06 35B40 76N10 76T06 35Q35 PDFBibTeX XMLCite \textit{Q. He} and \textit{X. Shi}, Commun. Nonlinear Sci. Numer. Simul. 98, Article ID 105771, 19 p. (2021; Zbl 1471.65141) Full Text: DOI