LOCALLY ONE-DIMENSIONAL DIFFERENCE SCHEMES FOR THE FRACTIONAL DIFFUSION EQUATION WITH A FRACTIONAL DERIVATIVE IN LOWEST TERMS

被引：0

作者：

Bazzaev, A. K. ^{[1
,2
]}

Tsopanov, I. D. ^{[2
]}

机构：

[1] North Ossetia State Univ, Vatutina St 46, Vladikavkaz 362025, Russia

[2] Vladikavkaz Inst Management, Vladikavkaz 362025, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2015年 / 12卷

关键词：

locally one-dimensional difference scheme; slow diffusion equation; Caputo fractional derivative; maximum principle; stability and convergence of difference schemes; Robin boundary conditions;

D O I：

10.17377/semi.2015.12.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a fractional diffusion equation with a fractional derivative in lowest terms with Robin boundary conditions, locally one-dimensional difference schemes are considered and their stability and convergence are proved.

引用

页码：80 / 91

页数：12

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