A Numerical Method for Solving Linear Two-Point Boundary Value Problems

Author

Zhou, Yongxiong ; Xiang, Shuhuang

Author_Institution

Dept. of Appl. Math., Central South Univ., Changsha, China

Volume

4

fYear

2009

fDate

10-11 Oct. 2009

Firstpage

501

Lastpage

504

Abstract

We present a new discrete scheme for solving boundary value problems for linear ordinary differential equations with constant coefficients or variable coefficients. Our approach works directly on the approximation of polynomials which coefficients related to higher derivatives. In particular, we can transform a general system to essentially diagonally dominant form according to this discrete schemes. Preliminary numerical results show the effectiveness of this method.

Keywords

boundary-value problems; linear differential equations; polynomial approximation; constant coefficients; diagonally dominant form; discrete scheme; linear ordinary differential equations; linear two-point boundary value problems; numerical method; polynomial approximation; variable coefficients; Automation; Bismuth; Boundary conditions; Boundary value problems; Differential equations; Discrete transforms; Finite difference methods; Integral equations; Mathematics; Polynomials; boundary value problems; higher derivatives; ordinary differential equations;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Computation Technology and Automation, 2009. ICICTA '09. Second International Conference on

Conference_Location

Changsha, Hunan

Print_ISBN

978-0-7695-3804-4

Type

conf

DOI

10.1109/ICICTA.2009.835

Filename

5288338