• UTILIZING LAGUERRE TRANSFORM IN TWO-SPATIAL DIMENSIONS PARTIAL DIFFERENTIAL EQUATIONS AND IMAGE PROCESSING

Abstract

The Laguerre Transform can be used to solve Partial differential equations with the initial and the boundary conditions to find the approximation solution of the problem. The technique is verified by solving example and obtaining the results give a good accuracy when they compared with the numerical solution. It is well known in the field of image processing using the possibilities of the heat equation in terms of improving the image of a blur or remove distortions, so we will later apply the heat equation on some images after the dissolution of the equation by using the Laguerre Transform.