一类二阶线性常微分方程两点边值问题的数值解

Journal of Jilin University Science Edition

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Numerical Solution for TwoPoint Boundary Value Problem ofSecondOrder Linear Ordinary Differential Equation

YONG Longquan^1,2, LIU Sanyang¹, XIONG Wentao³, CHI Xiaoni⁴

1. School of Mathematics and Statistics, Xidian University, Xi’an 710071, China; 2. School of Mathematicsand Computer Science, Shaanxi University of Technology, Hanzhong 723001, Shaanxi Province, China;3. School of Mathematics and Statistics, Hubei Engineering University, Xiaogan 432000, Hubei Province, China;4. School of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin 541004, Guangxi Zhuang Autonomous Region, China

Received:2014-03-24 Online:2015-01-26 Published:2015-01-19
Contact: YONG Longquan E-mail:yonglongquan@126.com

Abstract

Abstract:

A class of secondorder linear ordinary differential equation with twopoint boundary value problem was transfered into absolute value equation via finite difference method, and an iterative method was proposed, then the convergence analysis was given. Numerical experiments show that this method has the advantages of less number of iterations and high precision.

Key words: secondorder linear ordinary differential equation, twopoint boundary value problem, finite difference method, absolute value equation, iterative method

CLC Number:

O241

YONG Longquan, LIU Sanyang, XIONG Wentao, CHI Xiaoni. Numerical Solution for TwoPoint Boundary Value Problem ofSecondOrder Linear Ordinary Differential Equation[J].Journal of Jilin University Science Edition, 2015, 53(01): 15-20.

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Numerical Solution for TwoPoint Boundary Value Problem ofSecondOrder Linear Ordinary Differential Equation

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