Stability and convergence of difference schemes for boundary value problems for the fractional-order diffusion equation

被引：9

作者：

Alikhanov, A. A. ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Appl Math & Automat, Kabardino Balkar Sci Ctr, Ul Shortanova 89-A, Nalchik 360000, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2016年 / 56卷 / 04期

关键词：

fractional-order derivative; stability and convergence of difference schemes; fractional-order diffusion equation;

D O I：

10.1134/S0965542516040035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A family of difference schemes for the fractional-order diffusion equation with variable coefficients is considered. By the method of energetic inequalities, a priori estimates are obtained for solutions of finite-difference problems, which imply the stability and convergence of the difference schemes considered. The validity of the results is confirmed by numerical calculations for test examples.

引用

页码：561 / 575

页数：15

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