A Class of Semi-Implicit Parallel Difference Method for Time Fractional Diffusion Equations

HTML  XML Download Download as PDF (Size: 928KB)  PP. 158-171  
DOI: 10.4236/jamp.2020.81012    583 Downloads   1,247 Views  

ABSTRACT

In this paper, we construct a class of semi-implicit difference method for time fractional diffusion equations—the group explicit (GE) difference scheme, which is a difference scheme with good parallelism constructed using Saul’yev asymmetric scheme. The stability and convergence of the GE scheme of time fractional diffusion equation are analyzed by mathematical induction. Then, the theoretical analysis is verified by numerical experiments, which shows that the GE scheme is effective for solving the time fractional diffusion equation.

Share and Cite:

Wu, L. , Sun, J. and Yang, X. (2020) A Class of Semi-Implicit Parallel Difference Method for Time Fractional Diffusion Equations. Journal of Applied Mathematics and Physics, 8, 158-171. doi: 10.4236/jamp.2020.81012.

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.