Poochinapan, Kanyuta; Wongsaijai, Ben Dynamic analysis of wave scenarios based on enhanced numerical models for the good Boussinesq equation. (English) Zbl 07820977 Results Appl. Math. 21, Article ID 100416, 26 p. (2024). MSC: 65M06 65N06 65M12 35B44 76B15 76B25 76M20 35Q35 PDFBibTeX XMLCite \textit{K. Poochinapan} and \textit{B. Wongsaijai}, Results Appl. Math. 21, Article ID 100416, 26 p. (2024; Zbl 07820977) Full Text: DOI
Ma, Menglong; Xu, Jun; Lu, Jun; Lin, Ji The novel backward substitution method for the simulation of three-dimensional time-harmonic elastic wave problems. (English) Zbl 07809664 Appl. Math. Lett. 150, Article ID 108963, 6 p. (2024). MSC: 65N35 65D12 74B10 74K10 74K99 74S99 35Q74 PDFBibTeX XMLCite \textit{M. Ma} et al., Appl. Math. Lett. 150, Article ID 108963, 6 p. (2024; Zbl 07809664) Full Text: DOI
Zhang, Tao; Li, Xiaolin A Nitsche-based element-free Galerkin method for semilinear elliptic problems. (English) Zbl 07792914 Adv. Appl. Math. Mech. 16, No. 1, 24-46 (2024). MSC: 65N15 65N30 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{X. Li}, Adv. Appl. Math. Mech. 16, No. 1, 24--46 (2024; Zbl 07792914) Full Text: DOI
Glaubitz, Jan; Nordström, Jan; Öffner, Philipp Energy-stable global radial basis function methods on summation-by-parts form. (English) Zbl 07788952 J. Sci. Comput. 98, No. 1, Paper No. 30, 28 p. (2024). MSC: 65M70 65M06 65N35 65N12 65D12 65D25 PDFBibTeX XMLCite \textit{J. Glaubitz} et al., J. Sci. Comput. 98, No. 1, Paper No. 30, 28 p. (2024; Zbl 07788952) Full Text: DOI arXiv OA License
Hwang, Youngjin; Yang, Junxiang; Lee, Gyeongyu; Ham, Seokjun; Kang, Seungyoon; Kwak, Soobin; Kim, Junseok Fast and efficient numerical method for solving the Allen-Cahn equation on the cubic surface. (English) Zbl 07764072 Math. Comput. Simul. 215, 338-356 (2024). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{Y. Hwang} et al., Math. Comput. Simul. 215, 338--356 (2024; Zbl 07764072) Full Text: DOI
Acosta-Soba, Daniel; Guillén-González, Francisco; Rodríguez-Galván, J. Rafael A structure-preserving upwind DG scheme for a degenerate phase-field tumor model. (English) Zbl 07801666 Comput. Math. Appl. 152, 317-333 (2023). MSC: 76-XX 82-XX PDFBibTeX XMLCite \textit{D. Acosta-Soba} et al., Comput. Math. Appl. 152, 317--333 (2023; Zbl 07801666) Full Text: DOI arXiv
Mohammadi, Soheila; Fardi, Mojtaba; Ghasemi, Mehdi A numerical investigation with energy-preservation for nonlinear space-fractional Klein-Gordon-Schrödinger system. (English) Zbl 07784407 Comput. Appl. Math. 42, No. 8, Paper No. 356, 27 p. (2023). MSC: 33Fxx 34K28 35R11 45Lxx PDFBibTeX XMLCite \textit{S. Mohammadi} et al., Comput. Appl. Math. 42, No. 8, Paper No. 356, 27 p. (2023; Zbl 07784407) Full Text: DOI
Mostafa, Dina; Zaky, Mahmoud A.; Hafez, Ramy M.; Hendy, Ahmed S.; Abdelkawy, Mohamed A.; Aldraiweesh, Ahmed A. Tanh Jacobi spectral collocation method for the numerical simulation of nonlinear Schrödinger equations on unbounded domain. (English) Zbl 1527.65109 Math. Methods Appl. Sci. 46, No. 1, 656-674 (2023). MSC: 65M70 35R11 35Q55 PDFBibTeX XMLCite \textit{D. Mostafa} et al., Math. Methods Appl. Sci. 46, No. 1, 656--674 (2023; Zbl 1527.65109) Full Text: DOI
Li, Jiyong; Jin, Xiaoqian Structure-preserving exponential wave integrator methods and the long-time convergence analysis for the Klein-Gordon-Dirac equation with the small coupling constant. (English) Zbl 07777359 Numer. Methods Partial Differ. Equations 39, No. 4, 3375-3416 (2023). MSC: 65M70 65M06 65N35 65M12 65M15 35B05 35B65 81V05 81Q05 35Q41 PDFBibTeX XMLCite \textit{J. Li} and \textit{X. Jin}, Numer. Methods Partial Differ. Equations 39, No. 4, 3375--3416 (2023; Zbl 07777359) Full Text: DOI
Nasresfahani, Farzaneh; Eslahchi, Mohammad Reza Numerical convergence and stability analysis for a nonlinear mathematical model of prostate cancer. (English) Zbl 07777347 Numer. Methods Partial Differ. Equations 39, No. 4, 3064-3088 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{F. Nasresfahani} and \textit{M. R. Eslahchi}, Numer. Methods Partial Differ. Equations 39, No. 4, 3064--3088 (2023; Zbl 07777347) Full Text: DOI arXiv
Liu, Jianming; Li, Xin Kai; Hu, Xiuling A novel local Hermite radial basis function-based differential quadrature method for solving two-dimensional variable-order time fractional advection-diffusion equation with Neumann boundary conditions. (English) Zbl 07777344 Numer. Methods Partial Differ. Equations 39, No. 4, 2998-3019 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{J. Liu} et al., Numer. Methods Partial Differ. Equations 39, No. 4, 2998--3019 (2023; Zbl 07777344) Full Text: DOI OA License
Mohammadi, Vahid; Dehghan, Mehdi Error estimates of divergence-free generalized moving least squares (div-free GMLS) derivatives approximations in Sobolev spaces. (English) Zbl 1528.76062 Appl. Numer. Math. 192, 373-388 (2023). MSC: 76M99 65N15 PDFBibTeX XMLCite \textit{V. Mohammadi} and \textit{M. Dehghan}, Appl. Numer. Math. 192, 373--388 (2023; Zbl 1528.76062) Full Text: DOI
Hou, Baohui Meshless structure-preserving GRBF collocation methods for stochastic Maxwell equations with multiplicative noise. (English) Zbl 1528.78004 Appl. Numer. Math. 192, 337-355 (2023). MSC: 78M22 65M70 65C30 65D12 78A25 PDFBibTeX XMLCite \textit{B. Hou}, Appl. Numer. Math. 192, 337--355 (2023; Zbl 1528.78004) 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
Chuathong, Nissaya A modified RBF collocation method for solving the convection-diffusion problems. (English) Zbl 1522.65230 Abstr. Appl. Anal. 2023, Article ID 8727963, 10 p. (2023). MSC: 65N35 65M70 35K57 PDFBibTeX XMLCite \textit{N. Chuathong}, Abstr. Appl. Anal. 2023, Article ID 8727963, 10 p. (2023; Zbl 1522.65230) Full Text: DOI
Yu, Xiao; Huang, Shijie; Xiao, Xufeng; Feng, Xinlong Stabilized finite element approximation of the Swift-Hohenberg model on evolving surfaces. (English) Zbl 07733013 Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107335, 21 p. (2023). MSC: 65-XX 35-XX 93-XX 34-XX 76-XX PDFBibTeX XMLCite \textit{X. Yu} et al., Commun. Nonlinear Sci. Numer. Simul. 125, Article ID 107335, 21 p. (2023; Zbl 07733013) Full Text: DOI
Athanassoulis, Agissilaos; Katsaounis, Theodoros; Kyza, Irene; Metcalfe, Stephen A novel, structure-preserving, second-order-in-time relaxation scheme for Schrödinger-Poisson systems. (English) Zbl 07715237 J. Comput. Phys. 490, Article ID 112307, 18 p. (2023). MSC: 65Mxx 35Qxx 81Qxx PDFBibTeX XMLCite \textit{A. Athanassoulis} et al., J. Comput. Phys. 490, Article ID 112307, 18 p. (2023; Zbl 07715237) Full Text: DOI arXiv
Chen, Lincong; Yuan, Zi; Qian, Jiamin; Sun, J. Q. Random vibration of hysteretic systems under Poisson white noise excitations. (English) Zbl 1524.74167 AMM, Appl. Math. Mech., Engl. Ed. 44, No. 2, 207-220 (2023). MSC: 74H50 74H15 74S60 PDFBibTeX XMLCite \textit{L. Chen} et al., AMM, Appl. Math. Mech., Engl. Ed. 44, No. 2, 207--220 (2023; Zbl 1524.74167) Full Text: DOI
Cai, Jiaxiang; Zhang, Haihui High-order conservative schemes for the nonlinear Schrödinger equation in the semiclassical limit. (English) Zbl 07708922 Appl. Math. Lett. 144, Article ID 108703, 10 p. (2023). MSC: 65Mxx 35Qxx 81Qxx PDFBibTeX XMLCite \textit{J. Cai} and \textit{H. Zhang}, Appl. Math. Lett. 144, Article ID 108703, 10 p. (2023; Zbl 07708922) Full Text: DOI
Sun, Zhengjie; Zhang, Shengliang A radial basis function approximation method for conservative Allen-Cahn equations on surfaces. (English) Zbl 07708827 Appl. Math. Lett. 143, Article ID 108634, 8 p. (2023). MSC: 65Mxx 35Kxx 65Nxx PDFBibTeX XMLCite \textit{Z. Sun} and \textit{S. Zhang}, Appl. Math. Lett. 143, Article ID 108634, 8 p. (2023; Zbl 07708827) Full Text: DOI
Senel, Pelin Comparison study on the numerical stability of dual reciprocity boundary element method for the MHD slip flow problem. (English) Zbl 1521.76515 Eng. Anal. Bound. Elem. 151, 370-386 (2023). MSC: 76M15 65M38 76W05 PDFBibTeX XMLCite \textit{P. Senel}, Eng. Anal. Bound. Elem. 151, 370--386 (2023; Zbl 1521.76515) Full Text: DOI
Yang, Huaijun; Shi, Dongyang A novel approach of unconditional optimal error estimate of linearized and conservative Galerkin FEM for Klein-Gordon-Schrödinger equations. (English) Zbl 07693651 Commun. Nonlinear Sci. Numer. Simul. 123, Article ID 107286, 18 p. (2023). MSC: 65-XX 93-XX 34-XX PDFBibTeX XMLCite \textit{H. Yang} and \textit{D. Shi}, Commun. Nonlinear Sci. Numer. Simul. 123, Article ID 107286, 18 p. (2023; Zbl 07693651) Full Text: DOI
Shen, Xiaoqin; Wu, Lixiao; Wen, Juan; Zhang, Juan SAV Fourier-spectral method for diffuse-interface tumor-growth model. (English) Zbl 07692048 Comput. Math. Appl. 140, 250-259 (2023). MSC: 92C32 35Q35 65M70 PDFBibTeX XMLCite \textit{X. Shen} et al., Comput. Math. Appl. 140, 250--259 (2023; Zbl 07692048) Full Text: DOI
Choi, Yongho; Kim, Junseok Maximum principle preserving and unconditionally stable scheme for a conservative Allen-Cahn equation. (English) Zbl 1521.65072 Eng. Anal. Bound. Elem. 150, 111-119 (2023). MSC: 65M06 35K57 65M12 PDFBibTeX XMLCite \textit{Y. Choi} and \textit{J. Kim}, Eng. Anal. Bound. Elem. 150, 111--119 (2023; Zbl 1521.65072) Full Text: DOI
Wang, Xianxia; Nie, Yuanjing; Wang, Danxia A second-order backward differentiation formula for the numerical solution of Cahn-Hilliard-Hele-Shaw system. (English) Zbl 1524.35483 Comput. Appl. Math. 42, No. 3, Paper No. 135, 27 p. (2023). MSC: 35Q35 65M60 PDFBibTeX XMLCite \textit{X. Wang} et al., Comput. Appl. Math. 42, No. 3, Paper No. 135, 27 p. (2023; Zbl 1524.35483) Full Text: DOI
Fritz, Marvin Tumor evolution models of phase-field type with nonlocal effects and angiogenesis. (English) Zbl 1514.92027 Bull. Math. Biol. 85, No. 6, Paper No. 44, 34 p. (2023). MSC: 92C32 35Q92 92C37 92C42 PDFBibTeX XMLCite \textit{M. Fritz}, Bull. Math. Biol. 85, No. 6, Paper No. 44, 34 p. (2023; Zbl 1514.92027) Full Text: DOI arXiv
Haghi, Majid; Ilati, Mohammad; Dehghan, Mehdi A radial basis function-Hermite finite difference (RBF-HFD) method for the cubic-quintic complex Ginzburg-Landau equation. (English) Zbl 1524.65344 Comput. Appl. Math. 42, No. 3, Paper No. 115, 17 p. (2023). MSC: 65M06 65M12 65B05 35Q56 78A60 65L06 65D12 65D05 82D55 PDFBibTeX XMLCite \textit{M. Haghi} et al., Comput. Appl. Math. 42, No. 3, Paper No. 115, 17 p. (2023; Zbl 1524.65344) Full Text: DOI
Bahmani, Erfan; Shokri, Ali Numerical study of the variable-order time-fractional mobile/immobile advection-diffusion equation using direct meshless local Petrov-Galerkin methods. (English) Zbl 07667339 Comput. Math. Appl. 135, 111-123 (2023). MSC: 65-XX 35R11 65M06 65M60 65M12 26A33 PDFBibTeX XMLCite \textit{E. Bahmani} and \textit{A. Shokri}, Comput. Math. Appl. 135, 111--123 (2023; Zbl 07667339) Full Text: DOI
Tan, Zhijun; Chen, Le; Yang, Junxiang Generalized Allen-Cahn-type phase-field crystal model with FCC ordering structure and its conservative high-order accurate algorithm. (English) Zbl 07666740 Comput. Phys. Commun. 286, Article ID 108656, 15 p. (2023). MSC: 82-XX 65-XX PDFBibTeX XMLCite \textit{Z. Tan} et al., Comput. Phys. Commun. 286, Article ID 108656, 15 p. (2023; Zbl 07666740) Full Text: DOI
Mir, Reyhaneh; Mirzaei, Davoud The D-RBF-PU method for solving surface PDEs. (English) Zbl 07660356 J. Comput. Phys. 479, Article ID 112001, 19 p. (2023). MSC: 65Mxx 65Dxx 41Axx PDFBibTeX XMLCite \textit{R. Mir} and \textit{D. Mirzaei}, J. Comput. Phys. 479, Article ID 112001, 19 p. (2023; Zbl 07660356) Full Text: DOI
Zhang, Xin; Wu, Jingwen; Tan, Zhijun Highly efficient, decoupled and unconditionally stable numerical schemes for a modified phase-field crystal model with a strong nonlinear vacancy potential. (English) Zbl 1524.65439 Comput. Math. Appl. 132, 119-134 (2023). MSC: 65M06 65M12 82D25 65M55 80A22 PDFBibTeX XMLCite \textit{X. Zhang} et al., Comput. Math. Appl. 132, 119--134 (2023; Zbl 1524.65439) Full Text: DOI
Tezer-Sezgin, M.; Aydın, S. H. Stabilized FEM solution of MHD duct flow with conducting cracks in the insulation. (English) Zbl 1524.76528 J. Comput. Appl. Math. 423, Article ID 114936, 17 p. (2023). MSC: 76W05 76M10 65N30 76M15 76D05 PDFBibTeX XMLCite \textit{M. Tezer-Sezgin} and \textit{S. H. Aydın}, J. Comput. Appl. Math. 423, Article ID 114936, 17 p. (2023; Zbl 1524.76528) Full Text: DOI
Cai, Shuo; Li, D. M.; Xie, Jia-xuan A complex variable EFG method for hyperelastic large deformation analysis under non-conservative loads. (English) Zbl 1505.65289 Appl. Math. Modelling 113, 596-612 (2023). MSC: 65N30 74B20 PDFBibTeX XMLCite \textit{S. Cai} et al., Appl. Math. Modelling 113, 596--612 (2023; Zbl 1505.65289) Full Text: DOI
Labidi, Samira; Omrani, Khaled A new approach for numerical solution of Kuramoto-Tsuzuki equation. (English) Zbl 1505.65247 Appl. Numer. Math. 184, 527-541 (2023). MSC: 65M06 65N06 65M12 65M15 35Q56 PDFBibTeX XMLCite \textit{S. Labidi} and \textit{K. Omrani}, Appl. Numer. Math. 184, 527--541 (2023; Zbl 1505.65247) Full Text: DOI
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
Qi, Longzhao; Hou, Yanren Error estimates for the scalar auxiliary variable (SAV) schemes to the modified phase field crystal equation. (English) Zbl 1502.65070 J. Comput. Appl. Math. 417, Article ID 114579, 24 p. (2023). MSC: 65M06 65N06 65M12 65M15 74N05 PDFBibTeX XMLCite \textit{L. Qi} and \textit{Y. Hou}, J. Comput. Appl. Math. 417, Article ID 114579, 24 p. (2023; Zbl 1502.65070) Full Text: DOI
Li, Xiaolin; Li, Shuling Analysis of an element-free Galerkin method for the nonlinear Schrödinger equation. (English) Zbl 07594646 Math. Comput. Simul. 203, 538-552 (2023). MSC: 65-XX 74-XX PDFBibTeX XMLCite \textit{X. Li} and \textit{S. Li}, Math. Comput. Simul. 203, 538--552 (2023; Zbl 07594646) Full Text: DOI
Dehghan, Mehdi; Hooshyarfarzin, Baharak; Abbaszadeh, Mostafa Radial basis function partition of unity procedure combined with the reduced-order method for solving Zakharov-Rubenchik equations. (English) Zbl 07789075 Eng. Anal. Bound. Elem. 145, 93-116 (2022). MSC: 35C08 35L05 35G20 PDFBibTeX XMLCite \textit{M. Dehghan} et al., Eng. Anal. Bound. Elem. 145, 93--116 (2022; Zbl 07789075) Full Text: DOI
Niknam, Sepideh; Adibi, Hojatollah; Amirfakhrian, Majid A hybrid LRBF-DQ method for solving nonlinear (2 + 1) dimensional initial-boundary value problems. (English) Zbl 07789072 Eng. Anal. Bound. Elem. 145, 59-71 (2022). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{S. Niknam} et al., Eng. Anal. Bound. Elem. 145, 59--71 (2022; Zbl 07789072) Full Text: DOI
Li, Menglian; Nikan, Omid; Qiu, Wenlin; Xu, Da An efficient localized meshless collocation method for the two-dimensional Burgers-type equation arising in fluid turbulent flows. (English) Zbl 07789031 Eng. Anal. Bound. Elem. 144, 44-54 (2022). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{M. Li} et al., Eng. Anal. Bound. Elem. 144, 44--54 (2022; Zbl 07789031) Full Text: DOI
Pei, Shuaichao; Hou, Yanren; Yan, Wenjing Efficient unconditionally stable numerical schemes for a modified phase field crystal model with a strong nonlinear vacancy potential. (English) Zbl 07775895 Numer. Methods Partial Differ. Equations 38, No. 1, 65-101 (2022). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{S. Pei} et al., Numer. Methods Partial Differ. Equations 38, No. 1, 65--101 (2022; Zbl 07775895) Full Text: DOI
Mesgarani, Hamid; Ahanj, Sara; Esmaeelzade, Aghdam Yones A novel local meshless scheme based on the radial basis function for pricing multi-asset options. (English) Zbl 1524.91146 Comput. Methods Differ. Equ. 10, No. 3, 716-725 (2022). MSC: 91G60 65D12 65M06 91G20 35Q91 PDFBibTeX XMLCite \textit{H. Mesgarani} et al., Comput. Methods Differ. Equ. 10, No. 3, 716--725 (2022; Zbl 1524.91146) Full Text: DOI
Rahimkhani, P.; Ordokhani, Y. Chelyshkov least squares support vector regression for nonlinear stochastic differential equations by variable fractional Brownian motion. (English) Zbl 1507.65034 Chaos Solitons Fractals 163, Article ID 112570, 12 p. (2022). MSC: 65C30 60H10 60G22 65R20 65L60 PDFBibTeX XMLCite \textit{P. Rahimkhani} and \textit{Y. Ordokhani}, Chaos Solitons Fractals 163, Article ID 112570, 12 p. (2022; Zbl 1507.65034) Full Text: DOI
Mohammadi, Vahid; Dehghan, Mehdi; Khodadadian, Amirreza; Noii, Nima; Wick, Thomas An asymptotic analysis and numerical simulation of a prostate tumor growth model via the generalized moving least squares approximation combined with semi-implicit time integration. (English) Zbl 1505.92104 Appl. Math. Modelling 104, 826-849 (2022). MSC: 92C50 92C37 35Q92 PDFBibTeX XMLCite \textit{V. Mohammadi} et al., Appl. Math. Modelling 104, 826--849 (2022; Zbl 1505.92104) Full Text: DOI
Zou, Guang-An; Wang, Bo; Yang, Xiaofeng A fully-decoupled discontinuous Galerkin approximation of the Cahn-Hilliard-Brinkman-Ohta-Kawasaki tumor growth model. (English) Zbl 1503.65255 ESAIM, Math. Model. Numer. Anal. 56, No. 6, 2141-2180 (2022). MSC: 65M60 65M06 65N30 65M12 76S05 76Z05 92C35 92C17 92C37 92C50 35Q92 35Q35 PDFBibTeX XMLCite \textit{G.-A. Zou} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 6, 2141--2180 (2022; Zbl 1503.65255) Full Text: DOI
Rasoulizadeh, M. N.; Avazzadeh, Z.; Nikan, O. Solitary wave propagation of the generalized Kuramoto-Sivashinsky equation in fragmented porous media. (English) Zbl 1509.76015 Int. J. Appl. Comput. Math. 8, No. 5, Paper No. 252, 20 p. (2022). MSC: 76B25 76S05 76M99 76M20 PDFBibTeX XMLCite \textit{M. N. Rasoulizadeh} et al., Int. J. Appl. Comput. Math. 8, No. 5, Paper No. 252, 20 p. (2022; Zbl 1509.76015) Full Text: DOI
Dobravec, Tadej; Mavrič, Boštjan; Šarler, Božidar Acceleration of RBF-FD meshless phase-field modelling of dendritic solidification by space-time adaptive approach. (English) Zbl 1524.65334 Comput. Math. Appl. 126, 77-99 (2022). MSC: 65M06 65N06 65D12 65M70 65D07 80A22 80M20 PDFBibTeX XMLCite \textit{T. Dobravec} et al., Comput. Math. Appl. 126, 77--99 (2022; Zbl 1524.65334) Full Text: DOI
Hosseininia, M.; Heydari, M. H.; Razzaghi, M. Meshless local Petrov-Galerkin method for 2D fractional Fokker-Planck equation involved with the ABC fractional derivative. (English) Zbl 1524.65655 Comput. Math. Appl. 125, 176-192 (2022). MSC: 65M70 35R11 65M06 65M60 35Q84 26A33 65D05 65N35 41A58 PDFBibTeX XMLCite \textit{M. Hosseininia} et al., Comput. Math. Appl. 125, 176--192 (2022; Zbl 1524.65655) Full Text: DOI
Mazloum, J.; Hadian Siahkal-Mahalle, B. An efficient operator-splitting radial basis function-generated finite difference (RBF-FD) scheme for image noise removal based on nonlinear total variation models. (English) Zbl 1521.65074 Eng. Anal. Bound. Elem. 143, 740-754 (2022). MSC: 65M06 35Q74 65D12 65D18 PDFBibTeX XMLCite \textit{J. Mazloum} and \textit{B. Hadian Siahkal-Mahalle}, Eng. Anal. Bound. Elem. 143, 740--754 (2022; Zbl 1521.65074) Full Text: DOI
Mohammadi, Vahid; Dehghan, Mehdi A POD-RBF-FD scheme for simulating chemotaxis models on surfaces. (English) Zbl 1521.92008 Eng. Anal. Bound. Elem. 143, 316-330 (2022). MSC: 92-08 65M06 35Q35 35Q92 65D12 92C17 PDFBibTeX XMLCite \textit{V. Mohammadi} and \textit{M. Dehghan}, Eng. Anal. Bound. Elem. 143, 316--330 (2022; Zbl 1521.92008) Full Text: DOI
Nikan, O.; Avazzadeh, Z.; Rasoulizadeh, M. N. Soliton wave solutions of nonlinear mathematical models in elastic rods and bistable surfaces. (English) Zbl 1521.65105 Eng. Anal. Bound. Elem. 143, 14-27 (2022). MSC: 65M70 35K55 65D12 65L05 PDFBibTeX XMLCite \textit{O. Nikan} et al., Eng. Anal. Bound. Elem. 143, 14--27 (2022; Zbl 1521.65105) Full Text: DOI
Li, Po-Wei; Grabski, Jakub Krzysztof; Fan, Chia-Ming; Wang, Fajie A space-time generalized finite difference method for solving unsteady double-diffusive natural convection in fluid-saturated porous media. (English) Zbl 1521.76557 Eng. Anal. Bound. Elem. 142, 138-152 (2022). MSC: 76M20 65M06 65M12 76R10 76S05 PDFBibTeX XMLCite \textit{P.-W. Li} et al., Eng. Anal. Bound. Elem. 142, 138--152 (2022; Zbl 1521.76557) Full Text: DOI
Jan, Hameed Ullah; Uddin, Marjan; Abdeljawad, Thabet; Zamir, Muhammad Numerical study of high order nonlinear dispersive PDEs using different RBF approaches. (English) Zbl 1504.35447 Appl. Numer. Math. 182, 356-369 (2022). MSC: 35Q53 35C07 76B15 65D12 65M70 65M06 65L06 65N35 PDFBibTeX XMLCite \textit{H. U. Jan} et al., Appl. Numer. Math. 182, 356--369 (2022; Zbl 1504.35447) Full Text: DOI
Aldakheel, Fadi; Kandekar, Chaitanya; Bensmann, Boris; Dal, Hüsnü; Hanke-Rauschenbach, Richard Electro-chemo-mechanical induced fracture modeling in proton exchange membrane water electrolysis for sustainable hydrogen production. (English) Zbl 1507.74030 Comput. Methods Appl. Mech. Eng. 400, Article ID 115580, 25 p. (2022). MSC: 74A45 PDFBibTeX XMLCite \textit{F. Aldakheel} et al., Comput. Methods Appl. Mech. Eng. 400, Article ID 115580, 25 p. (2022; Zbl 1507.74030) Full Text: DOI
Bahramifar, Saeed; Mossaiby, Farshid; Haftbaradaran, Hamed A local meshless method for transient nonlinear problems: preliminary investigation and application to phase-field models. (English) Zbl 1524.65701 Comput. Math. Appl. 124, 163-187 (2022). MSC: 65M99 65M12 65M06 65H10 35J05 78A57 35A30 PDFBibTeX XMLCite \textit{S. Bahramifar} et al., Comput. Math. Appl. 124, 163--187 (2022; Zbl 1524.65701) Full Text: DOI
Sun, Zhengjie; Gao, Wenwu; Yang, Ran A convergent iterated quasi-interpolation for periodic domain and its applications to surface PDEs. (English) Zbl 07593940 J. Sci. Comput. 93, No. 2, Paper No. 37, 20 p. (2022). Reviewer: Aurelian Bejancu (Safat) MSC: 41A05 41A25 41A30 41A63 PDFBibTeX XMLCite \textit{Z. Sun} et al., J. Sci. Comput. 93, No. 2, Paper No. 37, 20 p. (2022; Zbl 07593940) Full Text: DOI
Ham, Seokjun; Li, Yibao; Jeong, Darae; Lee, Chaeyoung; Kwak, Soobin; Hwang, Youngjin; Kim, Junseok An explicit adaptive finite difference method for the Cahn-Hilliard equation. (English) Zbl 1497.65123 J. Nonlinear Sci. 32, No. 6, Paper No. 80, 19 p. (2022). MSC: 65M06 65N06 65M50 35G20 35B35 PDFBibTeX XMLCite \textit{S. Ham} et al., J. Nonlinear Sci. 32, No. 6, Paper No. 80, 19 p. (2022; Zbl 1497.65123) Full Text: DOI
Noii, Nima; Khodadadian, Amirreza; Aldakheel, Fadi Probabilistic failure mechanisms via Monte Carlo simulations of complex microstructures. (English) Zbl 1507.74407 Comput. Methods Appl. Mech. Eng. 399, Article ID 115358, 27 p. (2022). MSC: 74R10 74S60 PDFBibTeX XMLCite \textit{N. Noii} et al., Comput. Methods Appl. Mech. Eng. 399, Article ID 115358, 27 p. (2022; Zbl 1507.74407) Full Text: DOI arXiv
Khalili, A.; Ghanbari, V.; Hemami, M. A local scheme for numerical simulation of multi-dimensional dynamic quantum model: application to decision-making. (English) Zbl 1497.65189 Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 187, 33 p. (2022). MSC: 65M70 65M06 65N35 65D12 65M12 35Q55 35Q41 PDFBibTeX XMLCite \textit{A. Khalili} et al., Int. J. Appl. Comput. Math. 8, No. 4, Paper No. 187, 33 p. (2022; Zbl 1497.65189) Full Text: DOI
Lee, Chaeyoung; Park, Jintae; Kwak, Soobin; Kim, Sangkwon; Choi, Yongho; Ham, Seokjun; Kim, Junseok An adaptive time-stepping algorithm for the Allen-Cahn equation. (English) Zbl 1497.65129 J. Funct. Spaces 2022, Article ID 2731593, 12 p. (2022). MSC: 65M06 65L06 35Q35 35Q56 PDFBibTeX XMLCite \textit{C. Lee} et al., J. Funct. Spaces 2022, Article ID 2731593, 12 p. (2022; Zbl 1497.65129) Full Text: DOI
Abbaszadeh, Mostafa; Bayat, Mostafa; Dehghan, Mehdi Numerical investigation of the magnetic properties and behavior of electrically conducting fluids via the local weak form method. (English) Zbl 1510.76097 Appl. Math. Comput. 433, Article ID 127293, 19 p. (2022). MSC: 76M12 76W05 76M10 65N30 PDFBibTeX XMLCite \textit{M. Abbaszadeh} et al., Appl. Math. Comput. 433, Article ID 127293, 19 p. (2022; Zbl 1510.76097) Full Text: DOI
Salleh, Ihsane; Belkourchia, Yassin; Azrar, Lahcen Coupled Kansa and hybrid optimization methodological approach for Kolmogorov-Feller equations. (English) Zbl 1521.65106 Eng. Anal. Bound. Elem. 141, 127-139 (2022). MSC: 65M70 35R60 60H30 65D12 PDFBibTeX XMLCite \textit{I. Salleh} et al., Eng. Anal. Bound. Elem. 141, 127--139 (2022; Zbl 1521.65106) Full Text: DOI
Milewski, Sławomir Higher order meshless approximation applied to finite difference and finite element methods in selected thermomechanical problems. (English) Zbl 1521.74390 Eng. Anal. Bound. Elem. 140, 300-321 (2022). MSC: 74S20 65M06 74S05 65M60 PDFBibTeX XMLCite \textit{S. Milewski}, Eng. Anal. Bound. Elem. 140, 300--321 (2022; Zbl 1521.74390) Full Text: DOI
Narimani, Niusha; Dehghan, Mehdi A direct RBF-PU method for simulating the infiltration of cytotoxic T-lymphocytes into the tumor microenvironment. (English) Zbl 1497.92060 Commun. Nonlinear Sci. Numer. Simul. 114, Article ID 106616, 25 p. (2022). MSC: 92C32 35Q92 65D12 PDFBibTeX XMLCite \textit{N. Narimani} and \textit{M. Dehghan}, Commun. Nonlinear Sci. Numer. Simul. 114, Article ID 106616, 25 p. (2022; Zbl 1497.92060) Full Text: DOI
Ulloa, Jacinto; Noii, Nima; Alessi, Roberto; Aldakheel, Fadi; Degrande, Geert; François, Stijn Variational modeling of hydromechanical fracture in saturated porous media: a micromechanics-based phase-field approach. (English) Zbl 1507.74422 Comput. Methods Appl. Mech. Eng. 396, Article ID 115084, 34 p. (2022). MSC: 74R10 74F10 PDFBibTeX XMLCite \textit{J. Ulloa} et al., Comput. Methods Appl. Mech. Eng. 396, Article ID 115084, 34 p. (2022; Zbl 1507.74422) Full Text: DOI
Pathak, Maheshwar; Joshi, Pratibha; Nisar, Kottakkaran Sooppy Numerical study of generalized 2-D nonlinear Schrödinger equation using Kansa method. (English) Zbl 07538484 Math. Comput. Simul. 200, 186-198 (2022). MSC: 78-XX 65-XX PDFBibTeX XMLCite \textit{M. Pathak} et al., Math. Comput. Simul. 200, 186--198 (2022; Zbl 07538484) Full Text: DOI
Jiwari, Ram Local radial basis function-finite difference based algorithms for singularly perturbed Burgers’ model. (English) Zbl 07529655 Math. Comput. Simul. 198, 106-126 (2022). MSC: 65-XX 39-XX PDFBibTeX XMLCite \textit{R. Jiwari}, Math. Comput. Simul. 198, 106--126 (2022; Zbl 07529655) Full Text: DOI
Zhu, Xiaogang; Li, Jimeng; Zhang, Yaping A local RBFs-based DQ approximation for Riesz fractional derivatives and its applications. (English) Zbl 07512659 Numer. Algorithms 90, No. 1, 159-196 (2022). MSC: 65M70 35R11 65D12 PDFBibTeX XMLCite \textit{X. Zhu} et al., Numer. Algorithms 90, No. 1, 159--196 (2022; Zbl 07512659) Full Text: DOI
Cao, Dingding; Li, Xinxiang; Zhu, Huiqing A polynomial-augmented RBF collocation method using fictitious centres for solving the Cahn-Hilliard equation. (English) Zbl 1521.65096 Eng. Anal. Bound. Elem. 137, 41-55 (2022). MSC: 65M70 65D12 65M12 PDFBibTeX XMLCite \textit{D. Cao} et al., Eng. Anal. Bound. Elem. 137, 41--55 (2022; Zbl 1521.65096) Full Text: DOI
Kumar, Sanjay; Jiwari, Ram; Mittal, R. C. Radial basis functions based meshfree schemes for the simulation of non-linear extended Fisher-Kolmogorov model. (English) Zbl 1525.65105 Wave Motion 109, Article ID 102863, 19 p. (2022). MSC: 65M70 35K61 65D12 65M12 PDFBibTeX XMLCite \textit{S. Kumar} et al., Wave Motion 109, Article ID 102863, 19 p. (2022; Zbl 1525.65105) Full Text: DOI
Senel, Pelin MHD flow between electromagnetically coupled concentric cylinders with slipping walls. (English) Zbl 1486.76115 Eur. J. Mech., B, Fluids 93, 101-116 (2022). MSC: 76W05 76M15 PDFBibTeX XMLCite \textit{P. Senel}, Eur. J. Mech., B, Fluids 93, 101--116 (2022; Zbl 1486.76115) Full Text: DOI
Akyildiz, F. Talay; Alshammari, Fehaid A new analysis of Galerkin Legendre spectral methods for coupled hyperbolic/parabolic system arising in unsteady MHD flow of Maxwell fluid and numerical simulation. (English) Zbl 1485.76064 Appl. Numer. Math. 176, 83-103 (2022). MSC: 76M22 76W05 76A10 65M20 65M15 65M12 PDFBibTeX XMLCite \textit{F. T. Akyildiz} and \textit{F. Alshammari}, Appl. Numer. Math. 176, 83--103 (2022; Zbl 1485.76064) Full Text: DOI
Mai-Duy, N.; Strunin, D.; Karunasena, W. Computing high-order derivatives in compact integrated-RBF stencils. (English) Zbl 1521.65141 Eng. Anal. Bound. Elem. 135, 369-381 (2022). MSC: 65N99 65D12 PDFBibTeX XMLCite \textit{N. Mai-Duy} et al., Eng. Anal. Bound. Elem. 135, 369--381 (2022; Zbl 1521.65141) Full Text: DOI Link
Shi, Qiushuang; Zhao, Jingjun; Jiang, Rongrong; Jiang, Tao A high-efficient splitting step reduced-dimension pure meshless method for transient 2D/3D Maxwell’s equations in complex irregular domain. (English) Zbl 1521.78024 Eng. Anal. Bound. Elem. 136, 131-143 (2022). MSC: 78M20 65M06 78A25 65N35 78M22 PDFBibTeX XMLCite \textit{Q. Shi} et al., Eng. Anal. Bound. Elem. 136, 131--143 (2022; Zbl 1521.78024) Full Text: DOI
Cui, Ning; Wang, Pei; Li, Qi A second-order BDF scheme for the Swift-Hohenberg gradient flows with quadratic-cubic nonlinearity and vacancy potential. (English) Zbl 1499.65382 Comput. Appl. Math. 41, No. 2, Paper No. 85, 19 p. (2022). MSC: 65M06 65M70 65N35 65M12 35Q35 35A02 35R09 PDFBibTeX XMLCite \textit{N. Cui} et al., Comput. Appl. Math. 41, No. 2, Paper No. 85, 19 p. (2022; Zbl 1499.65382) Full Text: DOI
Bahmani, Erfan; Shokri, Ali Numerical study of the unsteady 2D coupled magneto-hydrodynamic equations on regular/irregular pipe using direct meshless local Petrov-Galerkin method. (English) Zbl 1510.76205 Appl. Math. Comput. 417, Article ID 126769, 17 p. (2022). MSC: 76W05 65N30 35L70 76M10 PDFBibTeX XMLCite \textit{E. Bahmani} and \textit{A. Shokri}, Appl. Math. Comput. 417, Article ID 126769, 17 p. (2022; Zbl 1510.76205) Full Text: DOI
Li, X. Y.; Wang, H. L.; Wu, B. Y. A stable and efficient technique for linear boundary value problems by applying kernel functions. (English) Zbl 1484.65170 Appl. Numer. Math. 172, 206-214 (2022). MSC: 65L99 65L10 PDFBibTeX XMLCite \textit{X. Y. Li} et al., Appl. Numer. Math. 172, 206--214 (2022; Zbl 1484.65170) Full Text: DOI
Zhou, Liming; Yang, Hao; Ma, Long; Zhang, Shizhong; Li, Xiaoying; Ren, Shuhui; Li, Ming On the static analysis of inhomogeneous magneto-electro-elastic plates in thermal environment via element-free Galerkin method. (English) Zbl 1521.74281 Eng. Anal. Bound. Elem. 134, 539-552 (2022). MSC: 74S05 65N30 74F15 74K20 78A30 PDFBibTeX XMLCite \textit{L. Zhou} et al., Eng. Anal. Bound. Elem. 134, 539--552 (2022; Zbl 1521.74281) Full Text: DOI
Florez, W. F.; Popov, V.; Gaviria-Cardona, J. P.; Bustamante, C. A.; Martínez-Tejada, H. V.; Garcia-Tamayo, E. A local collocation method with radial basis functions for an electrospinning problem. (English) Zbl 1521.65127 Eng. Anal. Bound. Elem. 134, 398-411 (2022). MSC: 65N35 65D12 PDFBibTeX XMLCite \textit{W. F. Florez} et al., Eng. Anal. Bound. Elem. 134, 398--411 (2022; Zbl 1521.65127) Full Text: DOI
Pérez, Aroldo; Villa-Morales, José A numerical scheme for the blow-up time of solutions of a system of nonlinear ordinary differential equations. (English) Zbl 07418846 Appl. Numer. Math. 171, 442-452 (2022). MSC: 65Lxx PDFBibTeX XMLCite \textit{A. Pérez} and \textit{J. Villa-Morales}, Appl. Numer. Math. 171, 442--452 (2022; Zbl 07418846) Full Text: DOI
Lee, Hyun Geun A non-iterative and unconditionally energy stable method for the Swift-Hohenberg equation with quadratic-cubic nonlinearity. (English) Zbl 1524.65664 Appl. Math. Lett. 123, Article ID 107579, 9 p. (2022). MSC: 65M70 65M12 35Q35 65M06 65M22 PDFBibTeX XMLCite \textit{H. G. Lee}, Appl. Math. Lett. 123, Article ID 107579, 9 p. (2022; Zbl 1524.65664) Full Text: DOI
Li, Yibao; Liu, Rui; Xia, Qing; He, Chenxi; Li, Zhong First- and second-order unconditionally stable direct discretization methods for multi-component Cahn-Hilliard system on surfaces. (English) Zbl 1503.65178 J. Comput. Appl. Math. 401, Article ID 113778, 15 p. (2022). MSC: 65M06 65N50 65F10 65Y10 35Q35 PDFBibTeX XMLCite \textit{Y. Li} et al., J. Comput. Appl. Math. 401, Article ID 113778, 15 p. (2022; Zbl 1503.65178) Full Text: DOI
Jiwari, Ram Barycentric rational interpolation and local radial basis functions based numerical algorithms for multidimensional sine-Gordon equation. (English) Zbl 07776054 Numer. Methods Partial Differ. Equations 37, No. 3, 1965-1992 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{R. Jiwari}, Numer. Methods Partial Differ. Equations 37, No. 3, 1965--1992 (2021; Zbl 07776054) Full Text: DOI
Soradi-Zeid, Samaneh; Mesrizadeh, Mehdi; Cattani, Carlo Radial basis solutions of second-order quasi-linear hyperbolic boundary value problem. (English) Zbl 07776051 Numer. Methods Partial Differ. Equations 37, No. 3, 1916-1927 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{S. Soradi-Zeid} et al., Numer. Methods Partial Differ. Equations 37, No. 3, 1916--1927 (2021; Zbl 07776051) Full Text: DOI
Nikan, O.; Machado, J. A. Tenreiro; Golbabai, A.; Rashidinia, J. Numerical evaluation of the fractional Klein-Kramers model arising in molecular dynamics. (English) Zbl 07511421 J. Comput. Phys. 428, Article ID 109983, 21 p. (2021). MSC: 76-XX 92-XX PDFBibTeX XMLCite \textit{O. Nikan} et al., J. Comput. Phys. 428, Article ID 109983, 21 p. (2021; Zbl 07511421) Full Text: DOI
Li, Juan The convergence of two linearized finite difference schemes for the modified phase field crystal equation. (English) Zbl 1481.65143 J. Difference Equ. Appl. 27, No. 12, 1751-1773 (2021). MSC: 65M06 65N06 65M12 65M15 82D25 PDFBibTeX XMLCite \textit{J. Li}, J. Difference Equ. Appl. 27, No. 12, 1751--1773 (2021; Zbl 1481.65143) Full Text: DOI
Pei, Shuaichao; Hou, Yanren; Li, Qi A linearly second-order, unconditionally energy stable scheme and its error estimates for the modified phase field crystal equation. (English) Zbl 1524.65384 Comput. Math. Appl. 103, 104-126 (2021). MSC: 65M06 65M12 65M60 65M70 35Q35 65M15 65N35 80A22 PDFBibTeX XMLCite \textit{S. Pei} et al., Comput. Math. Appl. 103, 104--126 (2021; Zbl 1524.65384) Full Text: DOI
Qiao, Yuanyang; Feng, Xinlong; He, Yinnian A meshless local radial point collocation method for simulating the time-fractional convection-diffusion equations on surfaces. (English) Zbl 07446905 Int. J. Comput. Methods 18, No. 5, Article ID 2150006, 19 p. (2021). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{Y. Qiao} et al., Int. J. Comput. Methods 18, No. 5, Article ID 2150006, 19 p. (2021; Zbl 07446905) Full Text: DOI
Mesrizadeh, Mehdi; Shanazari, Kamal Meshless Galerkin method based on RBFs and reproducing kernel for quasi-linear parabolic equations with Dirichlet boundary conditions. (English) Zbl 1523.65084 Math. Model. Anal. 26, No. 2, 318-336 (2021). MSC: 65M70 35K10 35D30 65D12 PDFBibTeX XMLCite \textit{M. Mesrizadeh} and \textit{K. Shanazari}, Math. Model. Anal. 26, No. 2, 318--336 (2021; Zbl 1523.65084) Full Text: DOI
Mittal, R. C.; Kumar, Sudhir; Jiwari, Ram A comparative study of cubic B-spline-based quasi-interpolation and differential quadrature methods for solving fourth-order parabolic PDEs. (English) Zbl 1490.65017 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 91, No. 3, 461-474 (2021). MSC: 65D07 65D30 PDFBibTeX XMLCite \textit{R. C. Mittal} et al., Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 91, No. 3, 461--474 (2021; Zbl 1490.65017) Full Text: DOI
Evcin, Cansu; Uğur, Ömür; Tezer-Sezgin, Münevver Time varying control of magnetohydrodynamic duct flow. (English) Zbl 1490.76232 Eur. J. Mech., B, Fluids 89, 100-114 (2021). MSC: 76W05 76M15 49J20 PDFBibTeX XMLCite \textit{C. Evcin} et al., Eur. J. Mech., B, Fluids 89, 100--114 (2021; Zbl 1490.76232) Full Text: DOI
Noii, Nima; Khodadadian, Amirreza; Ulloa, Jacinto; Aldakheel, Fadi; Wick, Thomas; François, Stijn; Wriggers, Peter Bayesian inversion for unified ductile phase-field fracture. (English) Zbl 1478.74076 Comput. Mech. 68, No. 4, 943-980 (2021). MSC: 74R20 74S60 74E10 62F15 PDFBibTeX XMLCite \textit{N. Noii} et al., Comput. Mech. 68, No. 4, 943--980 (2021; Zbl 1478.74076) Full Text: DOI arXiv
Li, Jiyong Convergence analysis of a symmetric exponential integrator Fourier pseudo-spectral scheme for the Klein-Gordon-Dirac equation. (English) Zbl 07431538 Math. Comput. Simul. 190, 691-713 (2021). MSC: 65-XX 81-XX PDFBibTeX XMLCite \textit{J. Li}, Math. Comput. Simul. 190, 691--713 (2021; Zbl 07431538) 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
Aldakheel, Fadi; Noii, Nima; Wick, Thomas; Allix, Olivier; Wriggers, Peter Multilevel global-local techniques for adaptive ductile phase-field fracture. (English) Zbl 1507.74031 Comput. Methods Appl. Mech. Eng. 387, Article ID 114175, 38 p. (2021). MSC: 74A45 74S05 65M60 PDFBibTeX XMLCite \textit{F. Aldakheel} et al., Comput. Methods Appl. Mech. Eng. 387, Article ID 114175, 38 p. (2021; Zbl 1507.74031) Full Text: DOI arXiv
Dehghan, Mehdi; Gharibi, Zeinab Numerical analysis of fully discrete energy stable weak Galerkin finite element scheme for a coupled Cahn-Hilliard-Navier-Stokes phase-field model. (English) Zbl 1510.82056 Appl. Math. Comput. 410, Article ID 126487, 31 p. (2021). MSC: 82M10 65M60 82B24 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{Z. Gharibi}, Appl. Math. Comput. 410, Article ID 126487, 31 p. (2021; Zbl 1510.82056) Full Text: DOI
Zhang, Lei; Ou Yang, Weihua; Liu, Xuan; Qu, Haidong Fourier spectral method for a class of nonlinear Schrödinger models. (English) Zbl 1519.81011 Adv. Math. Phys. 2021, Article ID 9934858, 11 p. (2021). MSC: 81-08 65M70 35Q55 81Q80 PDFBibTeX XMLCite \textit{L. Zhang} et al., Adv. Math. Phys. 2021, Article ID 9934858, 11 p. (2021; Zbl 1519.81011) Full Text: DOI
Nikan, O.; Avazzadeh, Z. A localisation technique based on radial basis function partition of unity for solving Sobolev equation arising in fluid dynamics. (English) Zbl 1508.65144 Appl. Math. Comput. 401, Article ID 126063, 23 p. (2021). MSC: 65M70 35Q35 65D12 65M15 PDFBibTeX XMLCite \textit{O. Nikan} and \textit{Z. Avazzadeh}, Appl. Math. Comput. 401, Article ID 126063, 23 p. (2021; Zbl 1508.65144) Full Text: DOI
Yang, Junxiang; Tan, Zhijun; Kim, Junseok High-order time-accurate, efficient, and structure-preserving numerical methods for the conservative Swift-Hohenberg model. (English) Zbl 1524.65426 Comput. Math. Appl. 102, 160-174 (2021). MSC: 65M06 65M12 74N05 82D25 65M70 35Q35 80A22 65N35 PDFBibTeX XMLCite \textit{J. Yang} et al., Comput. Math. Appl. 102, 160--174 (2021; Zbl 1524.65426) Full Text: DOI
Reutskiy, Sergiy; Lin, Ji; Zheng, Bin; Tong, Jiyou A novel B-spline method for modeling transport problems in anisotropic inhomogeneous media. (English) Zbl 1499.65577 Adv. Appl. Math. Mech. 13, No. 3, 590-618 (2021). MSC: 65M70 65M06 65N35 65D07 76S05 35Q35 PDFBibTeX XMLCite \textit{S. Reutskiy} et al., Adv. Appl. Math. Mech. 13, No. 3, 590--618 (2021; Zbl 1499.65577) Full Text: DOI