Explicit Saul'yev Finite Difference Approximation for Two-Dimensional Fractional Sub-diffusion Equation

被引：10

作者：

Ali, Umair ^{[1
]}

Abdullah, Farah Aini ^{[1
]}

机构：

[1] Univ Sains Malaysia, Sch Math Sci, George Town 11800, Malaysia

来源：

PROCEEDING OF THE 25TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM25): MATHEMATICAL SCIENCES AS THE CORE OF INTELLECTUAL EXCELLENCE | 2018年 / 1974卷

关键词：

Fractional sub-diffusion equation; Grunwald-Letnikov formula; Saul'yev difference approximation; Stability; SCHEMES;

D O I：

10.1063/1.5041642

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we discuss the development, analysis and implementation of the explicit Saul'yev difference scheme for the solution of two-dimensional time fractional sub-diffusion equations. The Grunwald-Letnikov formula is used for the discretization of the time fractional derivative of order alpha. The stability of the proposed scheme is analyzed. Finally, numerical examples are given to show the performance of the scheme.

引用

页数：6