Search Results

• 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

• Multiquadric Finite Difference (MQ-FD) Method and Its Application

  Yong Yuan Shan, Shu Chang, Ning Qin

  2018-08-10

  DOI:10.4208/aamm.09-m0942

  41705 4264 pp. 615-638

• 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

• An Efficient High Order Well-Balanced Finite Difference WENO Scheme for the Blood Flow Model

  Shouguo Qian, Gang Li, Xianqing Lv, Fengjing Shao

  2018-09-17

  DOI:10.4208/aamm.OA-2016-0151

  53184 5389 pp. 22-40

• Time-Space Adaptive Finite Element Method for Nonlinear Schrödinger Equation

  Yaoyao Chen, Ying Liu, Hao Wang

  2024-12-02

  DOI:10.4208/aamm.OA-2023-0071

  14418 1215 pp. 207-223

• A New Family of Difference Schemes for Space Fractional Advection Diffusion Equation

  Can Li, Weihua Deng

  2018-05-05

  DOI:10.4208/aamm.2015.m1069

  42371 3066 pp. 282-306

• A Fully Discrete Method for Space-Time Fractional Parabolic Problems

  Zunlin Tan, Xiaoping Xie

  2026-08-01

  DOI:10.4208/aamm.OA-2024-0056

  1041 96 pp. 1210-1241

• Explicit High Order One-Step Methods for Decoupled Forward Backward Stochastic Differential Equations

  Quan Zhou, Yabing Sun

  2021-11-17

  DOI:10.4208/aamm.OA-2020-0133

  50181 4076 pp. 1293-1317

• A Spectral Split-Step Padé Method for Guided Wave Propagation

  Daniel Walsken, Pavel Petrov, Matthias Ehrhardt

  2026-01-30

  DOI:10.4208/aamm.OA-2025-0179

  998 71 pp. 1602-1615

• Reduction of Numerical Oscillations in Simulating Moving-Boundary Problems by the Local DFD Method

  Yang Zhang, Chunhua Zhou

  2018-05-05

  DOI:10.4208/aamm.2014.m590

  44258 4587 pp. 145-165

• A Matrix-Vector Operation-Based Numerical Solution Method for Linear $m$-th Order Ordinary Differential Equations: Application to Engineering Problems

  M. Aminbaghai, M. Dorn, J. Eberhardsteiner, B. Pichler

  2013-05-01

  DOI:10.4208/aamm.12-m1211

  42068 4814 pp. 269-308

• The Spatial-Temporal Fourth-Order Conservative Characteristic Runge-Kutta Finite Difference Method for Convection-Dominated Diffusion Equation

  Dan Qin, Kai Fu, Dong Liang

  2025-03-14

  DOI:10.4208/aamm.OA-2023-0173

  11582 918 pp. 732-757

• Time-Domain Numerical Solutions of Maxwell Interface Problems with Discontinuous Electromagnetic Waves

  Ya Zhang, Duc Duy Nguyen, Kewei Du, Jin Xu, Shan Zhao

  2018-05-05

  DOI:10.4208/aamm.2014.m811

  42130 4759 pp. 353-385 Open Access

• Collocation Methods for Hyperbolic Partial Differential Equations with Singular Sources

  Jae-Hun Jung, Wai Sun Don

  2021-07-01

  DOI:10.4208/aamm.09-m09S10

  41818 4266 pp. 769-780

• Modification of Multiple Knot $B$-Spline Wavelet for Solving (Partially) Dirichlet Boundary Value Problem

  Fatemeh Pourakbari, Ali Tavakoli

  2021-07-01

  DOI:10.4208/aamm.12-12S10

  43783 4594 pp. 799-820

• Barycentric Interpolation Collocation Methods Based on the Crank-Nicolson Scheme for Nonlinear Parabolic Optimal Control Problems

  Rong Huang, Zhifeng Weng, Jianhua Yuan

  2026-08-01

  DOI:10.4208/aamm.OA-2024-0004

  848 94 pp. 1242-1268

• A Linear Doubly Stabilized Crank-Nicolson Scheme for the Allen–Cahn Equation with a General Mobility

  Dianming Hou, Lili Ju, Zhonghua Qiao

  2024-07-22

  DOI:10.4208/aamm.OA-2023-0067

  33750 2547 pp. 1009-1038

• Study of Heat Transfer Control with Magnetic Field Using Higher Order Finite Difference Scheme

  R. Sivakumar, S. Vimala, S. Damodaran, T. V. S. Sekhar

  2018-05-05

  DOI:10.4208/aamm.2014.m600

  40866 3141 pp. 449-463

• High-Order Local Absorbing Boundary Conditions for Fractional Evolution Equations on Unbounded Strips

  Haixia Dong, Miao Wang, Dongsheng Yin, Qian Zhang

  2020-04-10

  DOI:10.4208/aamm.OA-2019-0115

  46753 3354 pp. 664-693

• Sinc Collocation Numerical Methods for Solving Two-Dimensional Gross-Pitaevskii Equations with Non-Homogeneous Dirichlet Boundary Conditions

  Shengnan Kang, Kenzu Abdella, Macro Pollanen, Shuhua Zhang, Liang Wang

  2022-08-08

  DOI:10.4208/aamm.OA-2021-0189

  292936 4222 pp. 1302-1332