Department of Engineering Mathematics and Physics, Faculty of Engineering, Alexandria University
P.O.Box. 21544, Alexandria, Egypt

Using group theoretic method to solve multi-dimensional diffusion equation

By: Mina B.Abd-el-Malek, Nagwa A.Badran and Hossam S.Hassan

Abstract:
The nonlinear diffusion equation arises in many important areas of science and technology such as modeling of dopant diffusion in simeconductors.
The transformation group theortic approach is applied to present an analysis of the nonlinear diffusion equation. The one-parameter group transformation reduces the number of independent variables by one and the governing partial differential equation with the boundary conditions reduce to an ordinary differential equation with the appropriate boundary conditions. Effect of time (t) on the concentration diffusion function has been studied and the results are plotted.