Finite Difference Method for Solving the Time Fractional Diffusion Equation

被引：0
|
作者：
Zhang, Yu-xin [1 ]
Ding, Hengfei [1 ]
机构：
[1] Tianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Peoples R China
来源：
ASIASIM 2012, PT III | 2012年 / 325卷
关键词：
Stability and convergence; Fourier method; Time fractional diffusion equation; Hermite formula; SUBDIFFUSION EQUATION; STABILITY; ORDER;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Fractional diffusion equations are generalizations of classical diffusion equations, treating super-diffusive flow processes. In this paper, we develop a difference scheme based on Hermite formula for solving one-dimensional time fractional diffusion equation. Stability and convergence results of the difference scheme are discussed. Finally, a numerical example is carried out to confirm the theoretical results.
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页码：115 / 123
页数：9
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