On the Approximate Solution of Non-Linear Stochastic Diffusion Equation Using Symbolic WHEP

ABSTRACT

In this paper, a stochastic perturbed nonlinear diffusion equation is studied under a stochastic nonlinear nonhomogeneity. The Pickard approximation method is used to introduce a reference first order approximate solution. Under different correction levels, the WHEP technique is used to obtain approximate solutions. Using Mathematica-5, the solution algorithm is operated and several comparisons among correction levels together with error curves have been demonstrated. The method of solution is illustrated through case studies and figures.