The approximate solution of non-linear stochastic diffusion equation using symbolic WHEP, different correction levels

Noha Almulla*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

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.

Original languageEnglish (US)
Title of host publicationComputational Methods in Science and Engineering - Advances in Computational Science, Lectures Presented at the Int. Conference on Computational Methods in Science and Engineering 2008, ICCMSE 2008
Pages800-815
Number of pages16
DOIs
StatePublished - Dec 1 2009
Event6th International Conference on Computational Methods in Sciences and Engineering 2008, ICCMSE 2008 - Hersonissos, Crete, Greece
Duration: Sep 25 2008Sep 30 2008

Publication series

NameAIP Conference Proceedings
Volume1148 2
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

Other6th International Conference on Computational Methods in Sciences and Engineering 2008, ICCMSE 2008
CountryGreece
CityHersonissos, Crete
Period09/25/0809/30/08

Keywords

  • Eigenfimction expansion
  • Pickard approximation
  • Stochastic Nonlinear diffusion equation
  • WHEP technique

ASJC Scopus subject areas

  • Ecology, Evolution, Behavior and Systematics
  • Ecology
  • Plant Science
  • Physics and Astronomy(all)
  • Nature and Landscape Conservation

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