Finite difference method for time–space linear and nonlinear fractional diffusion equations-Reference-Cited by-同舟云学术

Finite difference method for time–space linear and nonlinear fractional diffusion equations

Published:2017-07-06 Issue:1 Volume:95 Page:202-217
ISSN:0020-7160
Container-title:International Journal of Computer Mathematics
language:en
Short-container-title:International Journal of Computer Mathematics

Author:

Arshad Sadia¹²,Bu Weiping³,Huang Jianfei⁴,Tang Yifa¹⁵,Zhao Yue¹

Affiliation:

1. LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, People's Republic of China

2. COMSATS Institute of Information Technology, Lahore, Pakistan

3. School of Mathematics and Computational Science, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan, People's Republic of China

4. College of Mathematical Sciences, Yangzhou University, Yangzhou, People's Republic of China

5. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, People's Republic of China

Funder

National Natural Science Foundation of China

ITER-China Program

Research Foundation of Education Commission of Hunan Province of China

Publisher

Informa UK Limited

Subject

Applied Mathematics,Computational Theory and Mathematics,Computer Science Applications

Link

https://www.tandfonline.com/doi/pdf/10.1080/00207160.2017.1344231

Reference28 articles.

1. Crank–Nicolson method for the fractional diffusion equation with the Riesz fractional derivative

2. An alternating direction implicit fractional trapezoidal rule type difference scheme for the two-dimensional fractional evolution equation

3. Fast Finite Difference Approximation for Identifying Parameters in a Two-dimensional Space-fractional Nonlocal Model with Variable Diffusivity Coefficients

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A Finite Difference Method for Solving the Wave Equation with Fractional Damping;Mathematical and Computational Applications;2023-12-29

2. Fast implicit difference schemes for time‐space fractional diffusion equations with the integral fractional Laplacian;Mathematical Methods in the Applied Sciences;2020-07-29

3. Fully discrete spectral method for solving a novel multi-term time-fractional mixed diffusion and diffusion-wave equation;Zeitschrift für angewandte Mathematik und Physik;2020-01-06

4. Parallel-in-time multigrid for space–time finite element approximations of two-dimensional space-fractional diffusion equations;Computers & Mathematics with Applications;2019-12

5. Space‐time finite element adaptive AMG for multi‐term time fractional advection diffusion equations;Mathematical Methods in the Applied Sciences;2019-10-24