Expansion method for linear integral equations by cardinal B-spline wavelet and Shannon wavelet as bases for obtain Galerkin system

摘要

In this paper, we apply the B-spline and Shannon wavelets bases for approximation the solution of linear integral equations of the second kind, then by this wavelet bases we construct Galerkin system, which is important the expansion methods in solving linear integral equations. At the end, For showing efficiency of this method, we use numerical examples.