Solution of second kind integral equation with Cauchy type kernel using Daubechies scale function

摘要

A method based on the Daubechies scale function has been devised to solve numerically a class of second kind integral equations with a Cauchy type kernel. The convergence associated to the method has been established. The method is illustrated with integral equations in this class whose exact solutions are known. The numerical results obtained by the present method are seen to differ negligibly from the exact results.