中国空间科学技术

中国空间科学技术

• •    

非线性两点边值问题的六阶三对角差分法

周保民   

  1. 北京卫星信息工程研究所
  • 发布日期:1992-02-25

A SIXTH ORDER TRIDIAGONAL DIFFERENCE METHOD FOR NONLINEAR TWO-POINT BOUNDARY VALUE PROBLEM

Zhou Baomin (Beijing Institute of Satellite Information Engineering)   

  • Online:1992-02-25

被引次数

2

摘要： 讨论了满足边界条件y(a)=A 和y(b)=B 的二阶非线性常微分方程y″=f(x,y)的六阶三对角差分法,并从理论和实际计算证明了该方法的六阶收敛性。

关键词: 边值问题, 有限差分理论

Abstract: This paper presents a new sixth order finite difference method to solve the second order nonlinear differential equation y″=f(x,y),subject to the boundary conditions y(a)=A,y(b)=B.The sixth order convergence of this method has been proved by theoretical deduction and actual calcu- lation.

Key words: Boundary value problem, Finite difference theory, Calculation, Analyzing