SOLUTION OF LINEAR AND NONLINEAR SINGULAR BOUNDARY VALUE PROBLEMS USING LEGENDRE WAVELET METHOD

Abstract

In this paper, we utilize a robust and precise method for solving both linear and nonlinear singular initial or boundary value problems.  We use Legendre wavelets to construct operational matrix of integration and product operational matrix to solve the problems.  This method reduces the problems into algebraic equations and gives a fast convergent series of easily computable components.  Illustrative examples are incorporated to show the productivity and exactness of the technique.  The outcomes obtained by the utilized method demonstrate that the proposed way is entirely sensible when compared with exact solution.