Numerical approximation of an interface problem for fractional in time diffusion equation

被引：18

作者：

Delic, Aleksandra ^{[1
]}

Jovanovic, Bogko S. ^{[1
]}

机构：

[1] Univ Belgrade, Fac Math, Belgrade 11000, Serbia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 229卷

关键词：

Fractional in time diffusion equation; Initial-boundary value problem; Interface problem; Finite differences; Error bound; CONVERGENCE;

D O I：

10.1016/j.amc.2013.12.060

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An initial-boundary value problem for fractional in time diffusion equation with interface is considered. Its well-posedness in the corresponding Sobolev spaces is proved. Some finite difference schemes approximating the problem are proposed and their stability and convergence are investigated. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：467 / 479

页数：13