Reproducing Kernel Method for Singular Fourth Order Four-Point Boundary Value Problems

被引：0
|
作者：
Li, Xiuying [1 ]
Wu, Boying [1 ]
机构：
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Heilongjiang, Peoples R China
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2011年 / 34卷 / 01期
关键词：
Reproducing kernel method (RKM); singular; four-point boundary value problem (BVP); ORDINARY DIFFERENTIAL-EQUATION; SPACE; EXISTENCE; OPERATOR;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper investigates the analytical approximate solutions of singular fourth order four-point boundary value problems using reproducing kernel method (RKM). The solution obtained by using the method takes the form of a convergent series with easily computable components. However, the RKM can not be used directly to solve singular fourth order four-point boundary value problems (BVPs), since there is no method of obtaining reproducing kernel (RK) satisfying four-point boundary conditions. The aim of this paper is to fill this gap. A method for obtaining R,K satisfying four-point boundary conditions is proposed so that RKM can be used to solve singular fourth order four-point BVPs. Results of numerical examples demonstrate that the method is quite accurate and efficient for singular fourth order four-point BVPs.
引用
收藏
页码：147 / 151
页数：5
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