Iterative method for solving the Neumann boundary value problem for biharmonic type equation

被引：33

作者：

Dang, Quang A. ^{[1
]}

机构：

[1] Inst Informat Technol, Hanoi, Vietnam

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2006年 / 196卷 / 02期

关键词：

iterative method; Neumann problem; biharmonic equation;

D O I：

10.1016/j.cam.2005.10.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The solution of boundary value problems (BVP) for fourth order differential equations by their reduction to BVP for second order equations, with the aim to use the achievements for the latter ones attracts attention from many researchers. In this paper, using the technique developed by ourselves in recent works, we construct iterative method for the Neumann BVP for biharmonic type equation. The convergence rate of the method is proved and some numerical experiments are performed for testing it in dependence on the choice of an iterative parameter. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：634 / 643

页数：10