Numerical schemes for the forward-backward heat equation

被引：10

作者：

Sun, Jie ^{[1
,2
]}

机构：

[1] Zhejiang Univ, Dept Math, Hangzhou 310003, Zhejiang, Peoples R China

[2] Zhejiang Univ Finance & Econ, Sch Math & Stat, Hangzhou, Zhejiang, Peoples R China

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2010年 / 87卷 / 03期

关键词：

forward-backward heat equation; Saulyev's scheme; domain decomposition; PARTIAL-DIFFERENTIAL-EQUATION; FINITE-ELEMENT METHODS; ITERATIVE METHODS; GALERKIN;

D O I：

10.1080/00207160802140031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with a class of forward-backward heat equations. We use Saulyev's scheme to formulate certain approximation schemes. Then a non-overlap domain decomposition method is presented for the numerical solution. The numerical experiments show that the given algorithm is feasible and effective.

引用

页码：552 / 564

页数：13

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