Solution of Integral Equation using Second and Third Order B-Spline Wavelets

Abstract

It was proven that semi-orthogonal wavelets approximate the solution of integral equation very finely over the orthogonal wavelets Here we used the compactly supported semi-orthogonal B-spline wavelets generated in our paper Compactly Supported B-spline Wavelets with Orthonormal Scaling Functions satisfying the Daubechies conditions to solve the Fredholm integral equation The generated wavelets satisfies all the properties on the bounded interval The method is computationally easy which is illustrated with two examples whose solution closely resembles the exact solution as the order of wavelet increase