Search Results

• A Fast Spatial Two-Grid Raviart-Thomas MFE Algorithm for the Nonlinear Time Fractional Diffusion Equations on Temporal Graded Mesh

  Zhichao Fang, Shubin Dong, Jie Zhao, Hong Li

  2026-08-01

  DOI:10.4208/aamm.OA-2023-0307

  1026 84 pp. 1155-1188

• Analysis of Mathematics and Numerical Pattern Formation in Superdiffusive Fractional Multicomponent System

  Kolade M. Owolabi, Abdon Atangana

  2021-07-01

  DOI:10.4208/aamm.OA-2016-0115

  42954 3932 pp. 1438-1460

• Exact Solutions for Fractional Differential-Difference Equations by (G′/G)-Expansion Method with Modified Riemann-Liouville Derivative

  Ahmet Bekir, Ozkan Guner, Burcu Ayhan, Adem C. Cevikel

  2018-05-05

  DOI:10.4208/aamm.2014.m798

  40982 3075 pp. 293-305

• Thermoelastic Interaction in an Infinite Long Hollow Cylinder with Fractional Heat Conduction Equation

  Ahmed. E. Abouelregal

  2018-05-05

  DOI:10.4208/aamm.2015.m26

  42025 3067 pp. 378-392

• The Convergence of Euler-Maruyama Method of Nonlinear Variable-Order Fractional Stochastic Differential Equations

  Shanshan Xu, Lin Wang, Wenqiang Wang

  2023-04-11

  DOI:10.4208/aamm.OA-2021-0222

  38791 3310 pp. 852-879

• An Efficient Second-Order Finite Volume ADI Method for Nonlinear Three-Dimensional Space-Fractional Reaction-Diffusion Equations

  Bingyin Zhang, Hongfei Fu, Xueting Liang, Jun Liu, Jiansong Zhang

  2022-08-08

  DOI:10.4208/aamm.OA-2021-0153

  275934 3794 pp. 1400-1432

• A Convex Approximation for a PDE Constrained Fractional Optimization Problem with an Application to Photonic Crystal Design

  Mengyue Wu, Jianhua Yuan, Jianxin Zhang

  2023-10-11

  DOI:10.4208/aamm.OA-2022-0003

  31184 2838 pp. 1540-1561

• Numerical Schemes for Time-Space Fractional Vibration Equations

  Jingna Zhang, Temirkhan S. Aleroev, Yifa Tang, Jianfei Huang

  2021-04-13

  DOI:10.4208/aamm.OA-2020-0066

  45774 3234 pp. 806-826

• Dependence Analysis of the Solutions on the Parameters of Fractional Neutral Delay Differential Equations

  Shuiping Yang

  2018-05-05

  DOI:10.4208/aamm.2013.m436

  42668 3123 pp. 772-783

• A New Energy-Preserving Scheme for the Fractional Klein-Gordon-Schrödinger Equations

  Yao Shi, Qiang Ma, Xiaohua Ding

  2019-06-24

  DOI:10.4208/aamm.OA-2018-0157

  45560 3327 pp. 1219-1247

• Numerical Solution of Euler-Lagrange Equation with Caputo Derivatives

  Tomasz Blaszczyk, Mariusz Ciesielski

  2018-05-05

  DOI:10.4208/aamm.2015.m970

  44004 5154 pp. 173-185

• A Compact Difference Scheme for Time-Space Fractional Nonlinear Diffusion-Wave Equations with Initial Singularity

  Emadidin Gahalla Mohmed Elmahdi, Sadia Arshad, Jianfei Huang

  2023-12-21

  DOI:10.4208/aamm.OA-2022-0049

  26042 2568 pp. 146-163

• Compact Finite Difference Scheme for the Fourth-Order Fractional Subdiffusion System

  Seakweng Vong, Zhibo Wang

  2014-06-01

  DOI:10.4208/aamm.2014.4.s1

  44461 4686 pp. 419-435

• Numerical Simulation for the Variable-Order Fractional Schrödinger Equation with the Quantum Riesz-Feller Derivative

  N. H. Sweilam, M. M. Abou Hasan

  2018-05-05

  DOI:10.4208/aamm.2015.m1312

  42503 2986 pp. 990-1011

• Numerical Inversion for the Initial Distribution in the Multi-Term Time-Fractional Diffusion Equation Using Final Observations

  Chunlong Sun, Gongsheng Li, Xianzheng Jia

  2021-07-01

  DOI:10.4208/aamm.OA-2016-0170

  42273 3662 pp. 1525-1546

• Finite Difference/Element Method for a Two-Dimensional Modified Fractional Diffusion Equation

  Na Zhang, Weihua Deng, Yujiang Wu

  2012-04-01

  DOI:10.4208/aamm.10-m1210

  42650 4733 pp. 496-518

• A Fast Matrix Splitting Iteration Method for Fractional Regime-Switching Option Pricing Model

  Yuhan Li, Mingkai Wang, Junfeng Yin

  2025-09-29

  DOI:10.4208/aamm.OA-2023-0271

  7307 379 pp. 1742-1760

• Nonconforming Mixed FEM Analysis for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation with Time-Space Coupled Derivative

  Fangfang Cao, Yanmin Zhao, Fenling Wang, Yanhua Shi, Changhui Yao

  2022-12-13

  DOI:10.4208/aamm.OA-2021-0263

  40942 3320 pp. 322-358

• Optimal Convergence Rate of $\theta$--Maruyama Method for Stochastic Volterra Integro-Differential Equations with Riemann--Liouville Fractional Brownian Motion

  Mengjie Wang, Xinjie Dai, Aiguo Xiao

  2021-11-18

  DOI:10.4208/aamm.OA-2020-0384

  49745 4508 pp. 202-217

• Numerical Methods for Semilinear Fractional Diffusion Equations with Time Delay

  Shuiping Yang, Yubin Liu, Hongyu Liu, Chao Wang

  2021-11-18

  DOI:10.4208/aamm.OA-2020-0387

  50510 4492 pp. 56-78

• Finite Element Scheme with H2N2 Interpolation for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation

  Huiqin Zhang, Yanping Chen, Jianwei Zhou, Yang Wang

  2024-07-22

  DOI:10.4208/aamm.OA-2023-0117

  26568 2475 pp. 1197-1222

• A Linearized Difference Scheme for Time-Fractional Sine-Gordon Equation

  Zhiyong Xing, Liping Wen

  2020-12-18

  DOI:10.4208/aamm.OA-2019-0346

  44390 3275 pp. 285-295

• A Comparative Study of Finite Element and Finite Difference Methods for Two-Dimensional Space-Fractional Advection-Dispersion Equation

  Guofei Pang, Wen Chen, Kam Yim Sze

  2018-05-05

  DOI:10.4208/aamm.2014.m693

  43895 4731 pp. 166-186

• A Posteriori Error Estimates of the Galerkin Spectral Methods for Space-Time Fractional Diffusion Equations

  Huasheng Wang, Yanping Chen, Yunqing Huang, Wenting Mao

  2020-03-06

  DOI:10.4208/aamm.OA-2019-0137

  48600 5146 pp. 87-100

• Toward a New Algorithm for Nonlinear Fractional Differential Equations

  Fadi Awawdeh, S. Abbasbandy

  2013-05-01

  DOI:10.4208/aamm.11-m1155

  41872 4319 pp. 222-234

• An Upwind Mixed Volume Element-Fractional Step Method on a Changing Mesh for Compressible Contamination Treatment from Nuclear Waste

  Changfeng Li, Yirang Yuan, Huailing Song

  2021-07-01

  DOI:10.4208/aamm.OA-2017-0332

  46623 3937 pp. 1384-1417

• A Jacobi Collocation Method for the Fractional Ginzburg-Landau Differential Equation

  Yin Yang, Jianyong Tao, Shangyou Zhang, Petr V. Sivtsev

  2020-03-06

  DOI:10.4208/aamm.OA-2019-0070

  49711 5105 pp. 57-86