Numerical methods for solving a two-dimensional variable-order modified diffusion equation

被引：15
|
作者：
Chen, Chang-Ming [1 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 225卷
关键词：
A two-dimensional variable-order modified diffusion equation; The variable-order Riemann-Liouville fractional partial derivative; Convergence; Stability; Solvability; Fourier analysis; ANOMALOUS SUBDIFFUSION EQUATION; TIME FRACTIONAL DIFFUSION; NONLINEAR SOURCE-TERM; FELLER SEMIGROUPS; RANDOM-WALKS; OPERATORS; DIFFERENTIATION; VISCOELASTICITY; TRANSPORT; FIELDS;
D O I：
10.1016/j.amc.2013.08.064
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a two-dimensional variable-order modified diffusion equation is considered. We develop the numerical methods to solve the equation. By Fourier analysis, we discuss the convergence, stability and solvability of the numerical method. The numerical method for improving temporal accuracy is also developed. Moreover, our theoretical analysis results are demonstrated by the numerical example. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：62 / 78
页数：17
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