Galerkin-Wavelet Methods for Two-Point Boundary Value Problems

Jinchao Xu
Deparpartment of Mathematics
Penn State University
University Park, PA 16802

Wei-Chang Shann
National Central University
Chung-Li
Taiwan

Abstract

Anti-derivatives of wavelets are used for the numerical solution of differential equations. Optimal error estimates are obtained in the applications to two-point boundary value problems of second order. The orthogonal property of the wavelets is used to contruct efficient iterative methods for the solution of the resultant linear algebraic systems. Numerical examples are given.


Contributed January 7, 1993.