Numerical Solution of Equations of the Diffusion Type with Diffusivity Concentration?Dependent. II.

Abstract

A new procedure is developed for the numerical solution of the equation with D and K single-valued functions of ? and the conditions ? = ?n, t=0, x>0; ?=?0 , x = 0, t:> 0. Difficulties inherent in the one method previously suggested are avoided, the problem being reduced to one of solving a set of ordinary differential equations.