A numerical algorithm for solving a class of linear nonlocal boundary value problems

被引：25

作者：

Lin, Yingzhen ^{[1
]}

Lin, Jinnan ^{[2
]}

机构：

[1] Harbin Inst Technol Weihai, Dept Math, Harbin 264209, Peoples R China

[2] Harbin Inst Technol Weihai, Software Coll, Harbin 264209, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2010年 / 23卷 / 09期

关键词：

Nonlocal boundary value problems; Higher order differential equations; New reproducing kernel space; Numerical algorithm; DIFFERENTIAL-EQUATIONS; UNIQUENESS; ORDER;

D O I：

10.1016/j.aml.2010.04.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In order to solve a class of linear nonlocal boundary value problems, a new reproducing kernel space satisfying nonlocal conditions is constructed carefully. This makes it easy to solve the problems. Furthermore, the exact solutions of the problems can be expressed in series form. The numerical results demonstrate that the new method is quite accurate and efficient for solving fourth-order nonlocal boundary value problems. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：997 / 1002

页数：6

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