• SOLUTION OF DIFFUSION EQUATION VIA INFINITESIMAL GROUP METHOD

Abstract

In this paper, the infinitesimal group transformation method is used to solve diffusion equation. Na & Hansen introduced this infinitesimal transformation method in terms of characteristic function method. With the help of this transformation the diffusion equation can be transformed into an Ordinary Differential Equation. The method presented in this paper is seen to be very general in nature. Basically, the method established the connection between one equation and all other equations under the contact transformation group of transformation, by the procedure of choosing different form of the characteristics function w.