The variational iteration method: A powerful scheme for handling linear and nonlinear diffusion equations

In this work, we introduce a framework for obtaining exact solutions to linear and nonlinear diffusion equations. Exact solutions are developed for some diffusion processes of power law diffusitivies. He’s variational iteration method (VIM) is used for analytic treatment of these equations. The powerful VIM method is capable of handling both linear and nonlinear equations in a direct manner.