Numerical solution of Hammerstein integral equation using Chebyshev wavelet method

Abstract

The aim of this work is to solve Hammerstein integral equations of both Fredholm as well as Volterra type by Chebyshev wavelet method which is widely applicable in engineering and technology. The Chebyshev wavelets together its properties are used to converts the problem into algebraic equations. Illustrative examples of Hammerstein type equations have been discussed to demonstrate the validity and applicability of the technique and the results have been compared with the existing method in the literature as well as with exact solution.