Numerical method with high order accuracy for solving a anomalous subdiffusion equation

被引：0

作者：

Chen, Y. ^{[1
]}

Chen, Chang-Ming ^{[1
]}

机构：

[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

来源：

NUMERICAL ALGORITHMS | 2016年 / 72卷 / 03期

关键词：

Anomalous subdiffusion equation; Numerical method with high order accuracy; Convergence; Stability; Solvability; Fourier analysis; FRACTIONAL DIFFUSION EQUATION; FINITE-DIFFERENCE SCHEME; SUB-DIFFUSION; BOUNDARY-CONDITIONS; STABILITY; SYSTEMS;

D O I：

10.1007/s11075-015-0062-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a numerical method with second order temporal accuracy and fourth order spatial accuracy is developed to solve a anomalous subdiffusion equation; by Fourier analysis, the convergence, stability and solvability of the numerical method are analyzed; the theoretical results are strongly supported by the numerical experiment.

引用

页码：687 / 703

页数：17

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