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.
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页码：687 / 703
页数：17
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