The Approximate Solution of Non-linear Stochastic Diffusion Equation using Symbolic WHEP, Different Correction Levels

conference paper
Published by AIP Publishing in COMPUTATIONAL METHODS IN SCIENCE AND ENGINEERING: Advances in Computational Science: Lectures presented at the International Conference on Computational Methods in Sciences and Engineering 2008 (ICCMSE 2008)

p. 800-815
https://doi.org/10.1063/1.3225440

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.

The Approximate Solution of Non-linear Stochastic Diffusion Equation using Symbolic WHEP, Different Correction Levels

Abstract

Keywords