Deparpartment of Mathematics

Penn State University

University Park, PA 16802

National Central University

Chung-Li

Taiwan

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.