Solving nonlinear diffusion equations without stochastic homogeneity using the homotopy perturbation method

Magdy A. El-Tawil, Noha Almulla

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

In this paper, the diffusion equations under square and cubic nonlinearities without stochastic homogeneity are solved using the homotopy perturbation method (HPM). The solution average is computed up to fourth order approximation while the covariance is computed up to second order approximation only. The method of analysis is illustrated through case studies and figures.

Original languageEnglish (US)
Pages (from-to)687-698
Number of pages12
JournalInternational Journal of Nonlinear Sciences and Numerical Simulation
Volume10
Issue number5
DOIs
StatePublished - Jan 1 2009

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Computational Mechanics
  • Modeling and Simulation
  • Engineering (miscellaneous)
  • Mechanics of Materials
  • Physics and Astronomy(all)
  • Applied Mathematics

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