Haar wavelet method for nonlinear integro-differential equations

摘要

A numerical method for solving nonlinear integral equations based on the Haar wavelets is presented. The method is applicable for Volterra integral equations and integro-differential equations; it can be used also for solving boundary value problems of ordinary differential equations.The efficiency of the proposed method is tested with the aid of four examples. High accuracy even for a small number of collocation points is stated.