Iterative methods for the forward-backward heat equation

被引：0

作者：

Cheng, XL ^{[1
]}

Sun, J

机构：

[1] Zhejiang Univ, Dept Math, Hangzhou 310028, Peoples R China

[2] Zhejiang Univ, Dept Math, Hangzhou 310028, Peoples R China

[3] Zhejiang Univ Finance & Econ, Dept Math, Hangzhou 310012, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL MATHEMATICS | 2005年 / 23卷 / 04期

关键词：

forward-backward heat equation; finite difference method; iterative method; coarse mesh;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we propose the finite difference method for the forward-backward heat equation. We use a coarse-mesh second-order central difference scheme at the middle line mesh points and derive the error estimate. Then we discuss the iterative method based on the domain decomposition for our scheme and derive the bounds for the rates of convergence. Finally we present some numerical experiments to support our analysis.

引用

页码：419 / 424

页数：6

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