# NUMERICAL METHOD FOR A 2NTH-ORDER BOUNDARY VALUE PROBLEM

• Xu, Chenmei (College of Mathematics and Information Science, Henan University) ;
• Jian, Shuai (Academy of Mathematics and Systems Science, Chinese Academy of Sciences) ;
• Wang, Bo (College of Mathematics and Information Science, Henan University)
• Published : 2013.07.01
• 66 11

#### Abstract

In this paper, a finite difference scheme for a two-point boundary value problem of 2nth-order ordinary differential equations is presented. The convergence and uniqueness of the solution for the scheme are proved by means of theories on matrix eigenvalues and norm. Numerical examples show that our method is very simple and effective, and that this method can be used effectively for other types of boundary value problems.

#### Keywords

boundary valve problem;finite difference scheme;2nth-order ordinary differential equation;total truncation error

#### Acknowledgement

Supported by : Natural Science Foundation of the Education Department of Henan Province, National Natural Science Foundation of China

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