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
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
收藏
页码:552 / 564
页数:13
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