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：
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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.
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