A METHOD OF HIGHER ORDER ACCURAY FOR GENERAL NONLINEAR BOUNDARY VALUE PROBLEMS

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A METHOD OF HIGHER ORDER ACCURAY FOR GENERAL NONLINEAR BOUNDARY VALUE PROBLEMS

Zhou Baomin (Beijing Institute of Satellite Information Engineering)

Published:1992-10-25

Abstract

Abstract: We present a sixth-order finite difference method for the gener- al second-order nonlinear differential equation y″=f(x,y,y′)subject to the boundary conditions y(a)=A,y(b)=B.We establish,under appropriate con- ditions,0(h~6)-convergence of the finite difference scheme.Numerical exam- ples are given to illustrate the method and its sixth-order convergence.

Key words: Boundary value problem, Finite difference theory, Ordinary differential equation, Method

Zhou Baomin (Beijing Institute of Satellite Information Engineering). A METHOD OF HIGHER ORDER ACCURAY FOR GENERAL NONLINEAR BOUNDARY VALUE PROBLEMS[J]. .

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A METHOD OF HIGHER ORDER ACCURAY FOR GENERAL NONLINEAR BOUNDARY VALUE PROBLEMS

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