Modified implicit fractional difference scheme for 2D modified anomalous fractional sub-diffusion equation

被引：0

作者：

Umair Ali

Farah Aini Abdullah

Syed Tauseef Mohyud-Din

机构：

[1] Universiti Sains Malaysia,School of Mathematical Sciences

[2] HITEC University,Department of Mathematics

来源：

Advances in Difference Equations | / 2017卷

关键词：

modified anomalous fractional sub-diffusion equation; modified implicit difference method; stability; convergence;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we solve two-dimensional modified anomalous fractional sub-diffusion equation using modified implicit finite difference approximation. The stability and convergence of the proposed scheme are analyzed by the Fourier series method. We show that the scheme is unconditionally stable and the approximate solution converges to the exact solution. A numerical example is given to show the application and feasibility of the proposed scheme.

引用

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