Semiorthogonal Spline Wavelets Approximation for Fredholm IntegroDifferential Equations

A method for solving the nonlinear second-order Fredholm integro-differential equa-tions is presented. The approach is based on a compactly supported linear semiorthog-onal B-spline wavelets. The operational matrices of derivative for B-spline scaling func-tions and wavelets are presented and utilized to reduce the solution of Fredholm integro-differential to the solution of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique. Copyright © 2006 M. Lakestani et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 1