Haar Wavelet Collocation Method for the Numerical Solution of Integral and Integro-Differential Equations

Abstract

Haar wavelet collocation method is developed for the numerical solution of nonlinear Fredholm, Volterra, mixed Volterra-Fredholm integral and integro-differential equations. The method is tested on some of illustrative examples and made a comparison with the exact solution and existing methods. It shows that the proposed method yields better results than the others. Hence, the proposed scheme is a new alternative approach and efficient numerical method for the solution of nonlinear integral and integro-differential equations.