Numerical solution of fourth-order problems with separated boundary conditions

被引：12

作者：

Loghmani, G. B. ^{[1
]}

Alavizadeh, S. R. ^{[1
]}

机构：

[1] Yazd Univ, Dept Math, Yazd, Iran

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 191卷 / 02期

关键词：

least square method; B-splines; boundary value problems;

D O I：

10.1016/j.amc.2007.02.116

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the fourth-order linear and nonlinear differential equations with separated boundary conditions is converted into an optimal control problem. Then a convergent approximate solution is constructed such that the exact boundary conditions are satisfied. The analysis is accompanied by numerical examples. The obtained results demonstrate reliability and efficiency of the proposed scheme. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：571 / 581

页数：11

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