Liu, Weizhi; Chen, Hu; Zaky, Mahmoud Error analysis of an ADI scheme for the two-dimensional fractal mobile/immobile transport equation with weakly singular solutions. (English) Zbl 07984904 Appl. Numer. Math. 210, 113-122 (2025). MSC: 65M15 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Kong, Linghua; Ouyang, Songpei; Gao, Rong; Liang, Haiyan Combined high order compact schemes for non-self-adjoint nonlinear Schrödinger equations. (English) Zbl 07984893 Appl. Numer. Math. 209, 242-257 (2025). MSC: 65M06 65M12 65Z05 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Jinming; Liu, Wei; Sun, Yi; Yang, Luhan Small noise and small time asymptotics for McKean-Vlasov SDEs with local Lipschitz coefficients. (English) Zbl 07984206 Commun. Nonlinear Sci. Numer. Simul. 142, Article ID 108535, 18 p. (2025). MSC: 60H10 60F10 37H10 × Cite Format Result Cite Review PDF Full Text: DOI
Kapanadze, David; Pesetskaya, Ekaterina Wave propagation on hexagonal lattices. (English) Zbl 07984142 Georgian Math. J. 32, No. 1, 83-91 (2025). MSC: 78A45 35J05 39A14 × Cite Format Result Cite Review PDF Full Text: DOI
KaedBey, Heba Bou; van Hoeij, Mark; Tsui, Man Cheung Solving order 3 difference equations. (English) Zbl 07981249 J. Symb. Comput. 129, Article ID 102419, 18 p. (2025). MSC: 12H10 39A06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cornalba, Federico; Fischer, Julian Multilevel Monte Carlo methods for the Dean-Kawasaki equation from fluctuating hydrodynamics. (English) Zbl 07981231 SIAM J. Numer. Anal. 63, No. 1, 262-287 (2025). MSC: 65C05 60H15 35R60 65N06 82M36 82C22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fjordholm, Ulrik S.; Karlsen, Kenneth H.; Pang, Peter H. C. Convergent finite difference schemes for stochastic transport equations. (English) Zbl 07981227 SIAM J. Numer. Anal. 63, No. 1, 149-192 (2025). MSC: 60H35 60H15 65C30 65M12 60H50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Boudjedour, Allaoua; Batiha, Iqbal; Boucetta, Selma; Dalah, Mohamed; Zennir, Khaled; Ouannas, Adel A finite difference method on uniform meshes for solving the time-space fractional advection-diffusion equation. (English) Zbl 07979550 Gulf J. Math. 19, No. 1, 156-168 (2025). MSC: 65M06 35R11 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Ngondiep, Eric An efficient high-order weak Galerkin finite element approach for Sobolev equation with variable matrix coefficients. (English) Zbl 07979090 Comput. Math. Appl. 180, 279-298 (2025). MSC: 65M12 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Zheng, Bo; Zhou, Hongling; Yu, Jianshe Periodic dynamics of a single-species population model based on the discrete Beverton-Holt equation. (English) Zbl 07978240 Discrete Contin. Dyn. Syst. 45, No. 7, 2126-2144 (2025). MSC: 39A23 39A30 39A60 37N25 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Xuehua; Wang, Wan; Zhou, Ziyi; Zhang, Haixiang An efficient compact difference method for the fourth-order nonlocal subdiffusion problem. (English) Zbl 07977961 Taiwanese J. Math. 29, No. 1, 35-66 (2025). MSC: 65R20 45K05 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Tang, Caoqiang; Huang, Zhigang Entire solutions of Fermat-type partial differential-difference equations in \(\mathbb{C}^2\). (English) Zbl 07975427 J. Math. Res. Appl. 45, No. 1, 56-72 (2025). MSC: 35M30 32W50 30D35 × Cite Format Result Cite Review PDF Full Text: DOI
Kawai, Shuto; Sato, Shun; Matsuo, Takayasu Mathematical analysis of a norm-conservative numerical scheme for the Ostrovsky equation. (English) Zbl 07975343 Japan J. Ind. Appl. Math. 42, No. 1, 153-176 (2025). MSC: 65M06 65N06 65B15 65M12 65M15 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Lulu; He, Yinnian; Feng, Xinlong A difference virtual element method for the 3D elliptic equation with the variable coefficient on general cylindrical domains. (English) Zbl 07973983 Int. J. Numer. Anal. Model. 22, No. 1, 96-112 (2025). MSC: 65N06 65N15 65N50 × Cite Format Result Cite Review PDF Full Text: DOI
Qazi, Rahim; Piranfar, Mohsen Rahimi; Khatibzadeh, Hadi On the convergence of solutions to an incomplete Cauchy problem governed by a quasi-convex function and a quasi-nonexpansive operator. (English) Zbl 07972494 J. Fixed Point Theory Appl. 27, No. 1, Paper No. 4, 21 p. (2025). MSC: 34G20 47J35 39A30 35B40 46N10 × Cite Format Result Cite Review PDF Full Text: DOI
Nie, Daxin; Sun, Jing; Deng, Weihua Numerical approximation for stochastic nonlinear fractional diffusion equation driven by rough noise. (English) Zbl 07971372 ESAIM, Math. Model. Numer. Anal. 59, No. 1, 389-418 (2025). MSC: 65M60 65M06 65N30 65D32 65C30 65M12 65M15 60G22 35B65 26A33 35R11 35R60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Meng, Xucheng; Qin, Yuzhe; Hu, Guanghui The convergence analysis of a class of stabilized semi-implicit isogeometric methods for the Cahn-Hilliard equation. (English) Zbl 07969171 J. Sci. Comput. 102, No. 1, Paper No. 26, 35 p. (2025). MSC: 65M60 65M06 65N30 65M12 65M15 65M22 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Alvey, Christina; Alvey, Daniel Mathematical biology. Discrete and differential equations. (English) Zbl 07969148 Textbooks in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-032-28825-3/hbk; 978-1-003-29866-3/ebook). xii, 366 p. (2025). MSC: 92-01 92D30 92D25 39A60 34C60 × Cite Format Result Cite Review PDF Full Text: DOI
Serna-Reyes, Adán J.; Macías, Siegfried; Gallegos, Armando; Macías-Díaz, Jorge E. A convergent two-step method to solve a fractional extension of the Rosenau-Kawahara system. (English) Zbl 07968727 J. Comput. Appl. Math. 460, Article ID 116424, 17 p. (2025). MSC: 65M06 35Q53 35R11 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xin; Zhang, Yiran; Jin, Qunzhi; Jin, Yuanfeng Two sixth-order, \( L_\infty\) convergent, and stable compact difference schemes for the generalized Rosenau-KdV-RLW equation. (English) Zbl 07968693 J. Comput. Appl. Math. 459, Article ID 116382, 21 p. (2025). MSC: 65M06 65N06 65M12 35C08 35Q51 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Kjelldahl, Vilma; Mattsson, Ken Numerical simulation of the generalized modified Benjamin-Bona-Mahony equation using SBP-SAT in time. (English) Zbl 07968688 J. Comput. Appl. Math. 459, Article ID 116377, 13 p. (2025). MSC: 65M06 65N06 65L06 35C08 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Tan, Zhijun; Zeng, Yunhua Temporal second-order two-grid finite element method for semilinear time-fractional Rayleigh-Stokes equations. (English) Zbl 07968686 J. Comput. Appl. Math. 459, Article ID 116375, 17 p. (2025). MSC: 65M60 65M06 65N30 65M55 65M12 65M15 35A21 76A05 76M10 76M20 26A33 35R11 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Fedakar, Burcu; Amirali, Ilhame; Durmaz, Muhammet Enes; Amiraliyev, Gabil M. Numerical solutions for second-order neutral Volterra integro-differential equations: stability analysis and finite difference method. (English) Zbl 07968682 J. Comput. Appl. Math. 459, Article ID 116371, 10 p. (2025). MSC: 65R20 45J05 45D05 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Yanping; Hu, Hanzhang Two-grid finite element methods for space-fractional nonlinear Schrödinger equations. (English) Zbl 07968681 J. Comput. Appl. Math. 459, Article ID 116370, 14 p. (2025). MSC: 65M60 65M06 65N30 65M55 65H10 65M12 65M15 26A33 35R11 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Frasca-Caccia, Gianluca Finite difference schemes with non polynomial local conservation laws. (English) Zbl 07968652 J. Comput. Appl. Math. 458, Article ID 116330, 20 p. (2025). MSC: 65M06 35L65 35Q53 37M15 65P10 86A70 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Qifeng; Li, Dongfang; Mao, Wanying A family of linearly weighted-\( \theta\) compact ADI schemes for sine-Gordon equations in high dimensions. (English) Zbl 07968265 Numer. Algorithms 98, No. 2, 797-838 (2025). MSC: 65N06 65M06 65M12 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Hao; Zaky, Mahmoud A.; Zheng, Xiangcheng; Hendy, Ahmed S.; Qiu, Wenlin Spatial two-grid compact difference method for nonlinear Volterra integro-differential equation with Abel kernel. (English) Zbl 07968261 Numer. Algorithms 98, No. 2, 677-718 (2025). MSC: 65-XX 35R11 45K05 65M06 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Roul, Pradip; Sundar, S. Novel numerical methods based on graded, adaptive and uniform meshes for a time-fractional advection-diffusion equation subjected to weakly singular solution. (English) Zbl 07968256 Numer. Algorithms 98, No. 2, 531-561 (2025). MSC: 65-XX × Cite Format Result Cite Review PDF Full Text: DOI
Ren, Huimin; Zhang, Qi; Zhou, Zhongguo The second-order modified upwind PPM characteristic difference method and analysis for solving convection-diffusion equations. (English) Zbl 07968255 Numer. Algorithms 98, No. 2, 503-530 (2025). MSC: 65N06 65M06 65M25 65N12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI
Gong, Wei; Liang, Dongdong Analysis and approximation to parabolic optimal control problems with measure-valued controls in time. (English) Zbl 07968243 ESAIM, Control Optim. Calc. Var. 31, Paper No. 2, 34 p. (2025). MSC: 65M60 65M06 65N30 65M12 49M41 35B45 35R06 35A01 35A02 35K10 93C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Manimaran, J.; Shangerganesh, L.; Hariharan, S.; Basuodan, Reem M.; Hendy, A. S.; Zaky, Mahmoud A. On the effectiveness and precision of BDF2-discontinuous Galerkin scheme for nonlinear nonlocal reaction-diffusion models. (English) Zbl 07965877 Z. Angew. Math. Phys. 76, No. 1, Paper No. 26, 14 p. (2025). MSC: 65M60 65M06 65N30 65N12 65M12 65M15 35K57 35A15 × Cite Format Result Cite Review PDF Full Text: DOI
Gao, Guang-hua; Ge, Biao; Chen, Yanping Derivation and error analysis of three-level linearized difference schemes for solving the Burgers-Fisher equation. (English) Zbl 07965412 J. Difference Equ. Appl. 31, No. 1, 115-153 (2025). MSC: 65M06 65N06 65M12 65M15 41A58 × Cite Format Result Cite Review PDF Full Text: DOI
Ye, Fumei Unilateral global structure for discrete Dirichlet problem with Minkowski-curvature operator. (English) Zbl 07965410 J. Difference Equ. Appl. 31, No. 1, 66-84 (2025). Reviewer: Jagan Mohan Jonnalagadda (Hyderabad) MSC: 39A28 39A27 × Cite Format Result Cite Review PDF Full Text: DOI
Ye, Zhijian; Zheng, Zhoushun; Li, Zhilin New third-order convex splitting methods and analysis for the phase field crystal equation. (English) Zbl 07965170 Numer. Algorithms 98, No. 1, 47-84 (2025). MSC: 65-XX × Cite Format Result Cite Review PDF Full Text: DOI
Oulmelk, Abdessamad; Srati, Mohammed; Afraites, Lekbir; Hadri, Aissam Implementation of the ADMM approach to constrained optimal control problem with a nonlinear time-fractional diffusion equation. (English) Zbl 07962671 Discrete Contin. Dyn. Syst., Ser. S 18, No. 1, 15-42 (2025). MSC: 49N45 65M06 49N45 34K37 49J20 65N12 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Buyang; Ma, Shu; Sun, Weiwei Optimal analysis of finite element methods for the stochastic Stokes equations. (English) Zbl 07962046 Math. Comput. 94, No. 352, 551-583 (2025). MSC: 65M60 65M06 65N30 65M12 65M15 60H15 35R60 76D07 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Kai; Si, Yuanchao Ulam type stability for the second-order linear Hahn difference equations. (English) Zbl 07961495 Appl. Math. Lett. 160, Article ID 109355, 6 p. (2025). MSC: 39A70 39A13 39A30 × Cite Format Result Cite Review PDF Full Text: DOI
Cao, Jianxiong; Xu, Wenhao Adaptive-coefficient finite difference frequency domain method for time fractional diffusive-viscous wave equation arising in geophysics. (English) Zbl 07961477 Appl. Math. Lett. 160, Article ID 109337, 7 p. (2025). MSC: 65M06 65N06 86A15 76S05 35L05 26A33 35R11 35Q86 × Cite Format Result Cite Review PDF Full Text: DOI
Kopteva, Natalia Error analysis of an \(\mathrm{L}2\)-type method on graded meshes for semilinear subdiffusion equations. (English) Zbl 07961446 Appl. Math. Lett. 160, Article ID 109306, 5 p. (2025). MSC: 65M06 65M12 65M15 26A33 35R11 35K20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cheng, Qing; Guo, Jing; Wang, Dong Computing optimal partition problems via Lagrange multiplier approach. (English) Zbl 07960911 J. Sci. Comput. 102, No. 1, Paper No. 22, 28 p. (2025). MSC: 65M06 65M22 65K10 65H10 05C45 35R09 35B09 49M41 49Q10 35J05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chin, Pius W. M. The existence of the global solution of the semi-linear Schrödinger equation with numerical computation on the Dirichlet boundary. (English) Zbl 07960325 J. Appl. Anal. Comput. 15, No. 2, 786-809 (2025). MSC: 35J47 35J70 65N15 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Soga, Kohei Finite difference methods for linear transport equations with Sobolev velocity fields. (English) Zbl 07959174 J. Math. Fluid Mech. 27, No. 1, Paper No. 6, 21 p. (2025). MSC: 35Q49 35D30 65M06 65M12 53A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Xiaolin; Cui, Xiyong; Zhang, Shougui Analysis of a Crank-Nicolson fast element-free Galerkin method for the nonlinear complex Ginzburg-Landau equation. (English) Zbl 07958860 J. Comput. Appl. Math. 457, Article ID 116323, 21 p. (2025). MSC: 65M60 65M06 65N30 65M12 65M15 35Q56 × Cite Format Result Cite Review PDF Full Text: DOI
Cui, Yanzhen; Tang, Shibing; Zhang, Chao Finite difference methods for stochastic Helmholtz equation driven by white noise. (English) Zbl 07958823 J. Comput. Appl. Math. 457, Article ID 116286, 15 p. (2025). MSC: 65N06 65N15 65N12 60H15 60H40 60H50 35B65 35J05 35R60 × Cite Format Result Cite Review PDF Full Text: DOI
Kartal, Senol A discrete fractional order Cournot duopoly game model with relative profit delegation: stability, bifurcation, chaos, 0-1 testing and control. (English) Zbl 07958821 J. Comput. Appl. Math. 457, Article ID 116284, 15 p. (2025). MSC: 37N40 34A08 34C23 39A28 26A33 39A33 91A50 × Cite Format Result Cite Review PDF Full Text: DOI
Janes, Andrew; Singler, John R. A new proper orthogonal decomposition method with second difference quotients for the wave equation. (English) Zbl 07958816 J. Comput. Appl. Math. 457, Article ID 116279, 15 p. (2025). MSC: 65M60 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kang, Seungyoon; Kwak, Soobin; Hwang, Youngjin; Kim, Junseok Positivity preserving and unconditionally stable numerical scheme for the three-dimensional modified Fisher-Kolmogorov-Petrovsky-Piskunov equation. (English) Zbl 07958811 J. Comput. Appl. Math. 457, Article ID 116273, 17 p. (2025). MSC: 65M06 65N06 65D05 65M12 65M15 35C07 35B09 35B50 92D25 35Q92 92-08 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Jun; Song, Fangying; Yang, Xiaofeng; Zhang, Yu Error analysis of the explicit-invariant energy quadratization (EIEQ) numerical scheme for solving the Allen-Cahn equation. (English) Zbl 07958792 J. Comput. Appl. Math. 457, Article ID 116224, 16 p. (2025). MSC: 65M06 65M12 65M15 35R09 35A15 35A02 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Saksa, Tytti Comparison of finite element and discrete exterior calculus in computation of time-harmonic wave propagation with controllability. (English) Zbl 07958790 J. Comput. Appl. Math. 457, Article ID 116154, 15 p. (2025). MSC: 65M60 65M06 65N30 76Q05 78A25 93B05 93C20 35P25 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Sitao; Liu, Lin; Ge, Zhixia; Liu, Yu; Feng, Libo; Wang, Jihong Numerical simulation of the two-dimensional fractional Schrödinger equation for describing the quantum dynamics on a comb with the absorbing boundary conditions. (English) Zbl 07954724 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108407, 17 p. (2025). MSC: 65M06 65N06 65M12 65T50 44A10 26A33 35R11 81Q05 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Han, Renjie; Xu, Yezi; Fu, Hao; Yan, Dong Novel conformal structure-preserving schemes for the linearly damped nonlinear Schrödinger equation. (English) Zbl 07954717 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108400, 15 p. (2025). MSC: 65M06 65N06 65P10 37M15 35C08 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Xuemiao; Shi, Dongyang Unconditional superconvergence analysis of a new energy stable nonconforming BDF2 mixed finite element method for BBM-Burgers equation. (English) Zbl 07954705 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108387, 14 p. (2025). MSC: 65M60 65M06 65N30 65M12 65D05 47H10 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Peng, Shanshan; Chen, Yanping Unconditional error analysis of weighted implicit-explicit virtual element method for nonlinear neutral delay-reaction-diffusion equation. (English) Zbl 07954702 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108384, 23 p. (2025). MSC: 65M60 65M06 65N30 65N50 65M12 65M15 65H10 35K57 35R07 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Huaijun; Jia, Xu; Yang, Jinjin Unconditionally superconvergence error analysis of an energy-stable finite element method for Schrödinger equation with cubic nonlinearity. (English) Zbl 07954701 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108383, 14 p. (2025). MSC: 65M60 65M06 65N30 65D05 65M12 65M15 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Song, Huailing; Tan, Qingkui Stability analysis and error estimates of implicit-explicit Runge-Kutta least squares RBF-FD method for time-dependent parabolic equation. (English) Zbl 07952201 Appl. Numer. Math. 207, 499-519 (2025). MSC: 65M06 65D12 65L06 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Hou, Dianming; Zhang, Tianxiang; Zhu, Hongyi A linear second order unconditionally maximum bound principle-preserving scheme for the Allen-Cahn equation with general mobility. (English) Zbl 07952186 Appl. Numer. Math. 207, 222-243 (2025). MSC: 65M06 65M15 41A05 41A25 × Cite Format Result Cite Review PDF Full Text: DOI
Campbell, John M. On combinatorial and hypergeometric approaches toward second-order difference equations. (English) Zbl 07952116 Discrete Math. 348, No. 2, Article ID 114316, 5 p. (2025). MSC: 11A55 39A06 11Y65 30B70 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Jiajie; Nakao, Joseph; Qiu, Jing-Mei; Yang, Yang A high-order Eulerian-Lagrangian Runge-Kutta finite volume (EL-RK-FV) method for scalar nonlinear conservation laws. (English) Zbl 07951588 J. Sci. Comput. 102, No. 1, Paper No. 12, 32 p. (2025). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 65M08 65M06 65M20 65L06 65N08 35L65 35L67 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barreira, Luís; Cunha, Matheus G. C.; Valls, Claudia Cocycles for equations with infinite delay and hyperbolicity. (English) Zbl 07947279 Nonlinear Anal., Real World Appl. 81, Article ID 104221, 16 p. (2025). MSC: 39A30 37D99 × Cite Format Result Cite Review PDF Full Text: DOI
Jiaxin, Zhu; Yu, Li; Jie, Hou A novel high-order explicit exponential integrator scheme for the space-time fractional Bloch-Torrey equation. (English) Zbl 07942383 Comput. Appl. Math. 44, No. 1, Paper No. 9, 24 p. (2025). MSC: 65M06 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Xue, Lianpeng; Zhang, Qifeng; Matus, P. P. Error estimate of the conservative difference scheme for the derivative nonlinear Schrödinger equation. (English) Zbl 07927827 Appl. Math. Lett. 159, Article ID 109283, 8 p. (2025). MSC: 35Q55 35Q41 65M06 65L06 65M12 65M15 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xindong; Feng, Yuelong; Luo, Ziyang; Liu, Juan A spatial sixth-order numerical scheme for solving fractional partial differential equation. (English) Zbl 07927817 Appl. Math. Lett. 159, Article ID 109265, 7 p. (2025). Reviewer: Abdallah Bradji (Annaba) MSC: 65M06 65N06 65M12 65M15 65T50 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Amirali, Ilhame; Fedakar, Burcu; Amiraliyev, Gabil M. Second-order numerical method for a neutral Volterra integro-differential equation. (English) Zbl 1545.65492 J. Comput. Appl. Math. 453, Article ID 116160, 8 p. (2025). MSC: 65R20 45J05 45D05 65L12 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Ham, Seokjun; Kang, Seungyoon; Hwang, Youngjin; Lee, Gyeonggyu; Kwak, Soobin; Jyoti; Kim, Junseok A fourth-order finite difference method for the Allen-Cahn equation. (English) Zbl 07900357 J. Comput. Appl. Math. 453, Article ID 116159, 16 p. (2025). MSC: 65Mxx 35Qxx 35Kxx × Cite Format Result Cite Review PDF Full Text: DOI
Chaskalovic, Joël; Assous, Franck Enhancing interpolation and approximation error estimates using a novel Taylor-like formula. (English) Zbl 1547.65108 J. Comput. Appl. Math. 453, Article ID 116153, 11 p. (2025). Reviewer: Nicolae Cîndea (Aubière) MSC: 65M06 65N06 65D05 65M15 41A58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Qing, Lanyu; Li, Xiaolin Analysis of a meshless generalized finite difference method for the time-fractional diffusion-wave equation. (English) Zbl 07984098 Comput. Math. Appl. 172, 134-151 (2024). MSC: 65-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Dhiman, Neeraj; Tamsir, Mohammad; Aldwoah, Khaled A.; Almalahi, Mohammed A.; Adel, Waleed Numerical approximation of the 3rd order pseudo-parabolic equation using collocation technique. (English) Zbl 07978397 Bound. Value Probl. 2024, Paper No. 154, 13 p. (2024). MSC: 65M70 65D07 65M06 65N35 41A15 35K70 35B35 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Kai; Wang, Jinrong Ulam type stability for nonlinear Hahn difference equations with delay. (English) Zbl 07978353 Electron. J. Differ. Equ. 2024, Paper No. 77, 15 p. (2024). MSC: 39A30 39B82 × Cite Format Result Cite Review PDF Full Text: DOI
Novak, Andrej; Armanda, Martina The application of the Cahn-Hilliard equation for digital image inpaintinge. (English) Zbl 07977083 KoG 28, 60-67 (2024). MSC: 68U10 65M06 94A08 35K55 × Cite Format Result Cite Review PDF Full Text: DOI
Temel, Zelal; Cakir, Musa A numerical method for solving linear first-order Volterra integro-differential equations with integral boundary condition. (English) Zbl 07975878 Appl. Appl. Math. 19, No. 2, Paper No. 10, 16 p. (2024). MSC: 65N06 65N30 65N12 × Cite Format Result Cite Review PDF Full Text: Link
Prasad, Angad; Singh, P. K. Impact of inclined magnetic field on two immiscible viscous fluids flow in a porous channel with variable permeability: a finite difference technique. (English) Zbl 07975877 Appl. Appl. Math. 19, No. 2, Paper No. 8, 16 p. (2024). MSC: 76S05 76W05 76M20 × Cite Format Result Cite Review PDF Full Text: Link
Yadeta, Hailu Bikila Analysis of the differential-difference equation \(y\bigg(x+\frac{1}{2}\bigg)-y\bigg(x-\frac{1}{2}\bigg)=y'(x)\). (English) Zbl 07975744 Rocky Mt. J. Math. 54, No. 6, 1803-1818 (2024). MSC: 34K06 26A18 39B22 × Cite Format Result Cite Review PDF Full Text: DOI Link
Banerjee, Abhijit; Haldar, Goutam On entire solutions of different variants of Fermat-type partial delay differential equations in several complex variables. (English) Zbl 07975734 Rocky Mt. J. Math. 54, No. 6, 1535-1550 (2024). MSC: 32H30 39A14 39A45 30D35 × Cite Format Result Cite Review PDF Full Text: DOI Link
Liu, Xinyu; Shen, Jie; Zhang, Xiangxiong A simple GPU implementation of spectral-element methods for solving 3D Poisson type equations on rectangular domains and its applications. (English) Zbl 07973771 Commun. Comput. Phys. 36, No. 5, 1157-1185 (2024). MSC: 65F05 65F60 65Y05 65M06 65M60 65M70 65N06 65N30 65N35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Başhan, Ali Numerical dynamics of the Generalized Equal Width (GEW) wave equation in presence of high-order nonlinearity. (English) Zbl 07973062 Indian J. Pure Appl. Math. 55, No. 4, 1365-1388 (2024). MSC: 41A25 65M06 65D32 65D07 × Cite Format Result Cite Review PDF Full Text: DOI
Corti, Mattia; Bonizzoni, Francesca; Antonietti, Paola F.; Quarteroni, Alfio M. Uncertainty quantification for Fisher-Kolmogorov equation on graphs with application to patient-specific Alzheimer’s disease. (English) Zbl 07971351 ESAIM, Math. Model. Numer. Anal. 58, No. 6, 2135-2154 (2024). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q92 92C20 92C50 92C55 92-08 65M32 65M75 65M06 65C05 62F15 62C10 35R30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Prasad, Angad; Singh, P. K. MHD flow through variable permeability porous medium in a parallel plate channel with constant suction and injection at the plates: a numerical investigations. (English) Zbl 07969910 Gaṇita 74, No. 2, 289-305 (2024). MSC: 76D05 76S05 65L12 × Cite Format Result Cite Review PDF Full Text: Link
Xiong, Xiaohong; Deng, Dingwen Structure-preserving Du Fort-Frankel finite difference schemes and their analysis for delayed Fisher equation. (Chinese. English summary) Zbl 07969226 Math. Numer. Sin. 46, No. 2, 189-212 (2024). MSC: 26A33 34A08 65M06 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Tertichniy, S. I. On the monodromy-preserving deformation of a double confluent Heun equation. (English. Russian original) Zbl 07969167 Proc. Steklov Inst. Math. 326, 303-338 (2024); translation from Tr. Mat. Inst. Steklova 326, 330-367 (2024). MSC: 34M56 34A30 33E30 33E17 × Cite Format Result Cite Review PDF Full Text: DOI
Cherevko, A. A.; Sharifullina, T. S.; Panarin, V. A. Mathematical model of hemodynamic restructuring in the environment of a vascular malformation during neurosurgical intervention. (English. Russian original) Zbl 07968828 J. Appl. Mech. Tech. Phys. 65, No. 1, 92-104 (2024); translation from Prikl. Mekh. Tekh. Fiz. 65, No. 1, 104-118 (2024). MSC: 76Z05 76S05 76M20 92C35 × Cite Format Result Cite Review PDF Full Text: DOI
Sibin, A. N.; Papin, A. A. Modeling the movement of dissolved salt in melting snow. (English. Russian original) Zbl 07968823 J. Appl. Mech. Tech. Phys. 65, No. 1, 50-60 (2024); translation from Prikl. Mekh. Tekh. Fiz. 65, No. 1, 58-69 (2024). Reviewer: Satish Kumar Deevi (Guntur) MSC: 76S05 76T99 76R99 76M20 80A22 80A19 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Lingling; Fu, Yayun Unconditional error estimate of linearly-implicit and energy-preserving schemes for nonlocal wave equations. (English) Zbl 07967267 Comput. Math. Appl. 176, 492-509 (2024). MSC: 65M06 65M12 65T50 35L05 35R11 76M22 × Cite Format Result Cite Review PDF Full Text: DOI
Hasil, P.; Linhartová, L.; Veselý, M. Oscillation criterion for generalized Euler difference equations. (English) Zbl 07966619 Acta Math. Hung. 174, No. 1, 94-115 (2024). MSC: 39A06 39A10 39A21 × Cite Format Result Cite Review PDF Full Text: DOI
Zaabouli, Z.; El Hakoume, A.; Afraites, L.; Laghrib, A. A novel coupled \(p(x)\) and fractional PDE denoising model with theoretical results. (English) Zbl 07966579 Int. J. Comput. Math. 101, No. 11, 1300-1325 (2024). MSC: 68W05 68W01 65K10 65N06 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Wenguang; Wang, Zhibo; Ou, Caixia A second order difference method combined with time two-grid algorithm for two-dimensional time-fractional Fisher equation. (English) Zbl 07966577 Int. J. Comput. Math. 101, No. 11, 1255-1269 (2024). MSC: 65M06 65M12 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Gui, Yan; Du, Rui; Wang, Cheng A third-order implicit-explicit Runge-Kutta method for Landau-Lifshitz equation with arbitrary damping parameters. (English) Zbl 07966456 Numer. Math., Theory Methods Appl. 17, No. 4, 1041-1073 (2024). MSC: 35K61 65N06 65N12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sun, Tao; Sun, Hai-Wei Splitting ADI scheme for fractional Laplacian wave equations. (English) Zbl 07966443 Numer. Math., Theory Methods Appl. 17, No. 3, 697-726 (2024). MSC: 65F05 65M06 65M12 65M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ma, Li; Fu, Hongfei; Zhang, Bingyin; Xie, Shusen A fast compact block-centered finite difference method on graded meshes for time-fractional reaction-diffusion equations and its robust analysis. (English) Zbl 07966434 Numer. Math., Theory Methods Appl. 17, No. 2, 429-462 (2024). MSC: 35R11 65M06 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Stepanova, I. E.; Kolotov, I. I.; Shchepetilov, A. V.; Yagola, A. G.; Levashov, A. N. On the uniqueness of the finite-difference analogues of the fundamental solution of the heat equation and the wave equation in discrete potential theory. (English) Zbl 07965661 Comput. Math. Math. Phys. 64, No. 12, 2893-2904 (2024). MSC: 39A14 39A12 35L05 35K05 × Cite Format Result Cite Review PDF Full Text: DOI
Zaitseva, N. V. On the existence of smooth solutions to a hyperbolic differential-difference equation. (English) Zbl 07965585 Differ. Equ. 60, No. 9, 1153-1159 (2024). MSC: 35L10 35A22 35R10 × Cite Format Result Cite Review PDF Full Text: DOI
Ngondiep, Eric An efficient high-order two-level explicit/implicit numerical scheme for two-dimensional time fractional mobile/immobile advection-dispersion model. (English) Zbl 07964944 Int. J. Numer. Methods Fluids 96, No. 8, 1305-1336 (2024). MSC: 76-XX 65-XX × Cite Format Result Cite Review PDF Full Text: DOI
Samadyar, Nasrin; Ordokhani, Yadollah Approximate solution of stochastic Allen-Cahn equation of fractional order using finite difference and RBF-based meshfree method. (English) Zbl 07964492 Lith. Math. J. 64, No. 4, 514-529 (2024). MSC: 60H35 60H15 35R60 65C30 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Dhawan, Sangeeta; Jonnalagadda, Jagan Mohan Nontrivial solutions for arbitrary order discrete relaxation equations with periodic boundary conditions. (English) Zbl 07964305 J. Anal. 32, No. 4, 2113-2133 (2024). MSC: 39A27 26A33 39A13 39A70 33E12 33E30 39A12 × Cite Format Result Cite Review PDF Full Text: DOI
Diegel, Amanda E.; Bond, Daniel; Sharma, Natasha S. Stability and error analysis for a \(\mathrm{C}^0\) interior penalty method for the modified phase field crystal equation. (English) Zbl 07963979 Matematica 3, No. 4, 1426-1450 (2024). MSC: 65M60 65M06 65N30 65M12 65M15 74N15 35G30 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Chuanlin; Ye, Guoju; Liu, Wei; Liu, Xuelong Upwind difference scheme for fuzzy convection-diffusion equations. (English) Zbl 07963832 Math. Comput. Simul. 223, 351-367 (2024). MSC: 65-XX 68-XX × Cite Format Result Cite Review PDF Full Text: DOI
Dujardin, Guillaume; Lacroix-Violet, Ingrid High order linearly implicit methods for semilinear evolution PDEs. (English) Zbl 07963393 SMAI J. Comput. Math. 10, 325-354 (2024). MSC: 65M70 65L06 65L20 65N06 65M12 65M22 35K05 35K58 35G05 35A24 35Q79 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Dongfang; Li, Xiaoxi Multiple relaxation exponential Runge-Kutta methods for the nonlinear Schrödinger equation. (English) Zbl 07963013 SIAM J. Numer. Anal. 62, No. 6, 2719-2744 (2024). MSC: 65M70 65L06 65N06 65M20 65M12 35Q55 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Rashmi, K. M.; Samanta, S. K. Analysis of two-way communication in \(M_1^X, M_2/G_1,G_2/1\) retrial queue under the constant retrial policy. (English) Zbl 07962640 Methodol. Comput. Appl. Probab. 26, No. 4, Paper No. 51, 32 p. (2024). MSC: 90B22 60K25 × Cite Format Result Cite Review PDF Full Text: DOI
Tesfaye, Sisay Ketema; Woldaregay, Mesfin Mekuria; Dinka, Tekle Gemechu; Duressa, Gemechis File Fitted numerical scheme for singularly perturbed convection-diffusion equation with small time delay. (English) Zbl 07962552 Int. J. Math. Math. Sci. 2024, Article ID 3772081, 15 p. (2024). MSC: 65M06 65N06 65M12 35B25 35R07 76R50 × Cite Format Result Cite Review PDF Full Text: DOI
Egger, H.; Kurz, S.; Löscher, R. On the exponential stability of uniformly damped wave equations and their structure-preserving discretization. (English) Zbl 07962215 Results Appl. Math. 24, Article ID 100502, 12 p. (2024). MSC: 65M60 65M06 65N30 35L05 35B35 78A25 35Q61 × Cite Format Result Cite Review PDF Full Text: DOI