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Using Homotopy-WHEP Technique in Solving Nonlinear Diffusion Equation with Stochastic No Homogeneity

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Transactions on Computational Science VII

Part of the book series: Lecture Notes in Computer Science ((TCOMPUTATSCIE,volume 5890))

Abstract

In this paper, the diffusion equation under square and cubic nonlinearities and stochastic no homogeneity is solved using the Homotopy-WHEP technique. The use of the homotopy perturbation method in WHEP technique is introduced to deal with non-perturbative systems. The new technique is then used to solve the nonlinear diffusion equation with making comparisons with Homotopy perturbation method (HPM). The method of analysis is illustrated through case studies.

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Author information

Authors and Affiliations

  1. Faculty of Engineering, Engineering, Mathematics Department, Cairo University, Giza, Egypt

    Magdy A. El-Tawil

  2. Faculty of science, Mathematics Department, King Faisal University, Dammam, Saudi Arabia

    Noha A. Al-Mulla

Authors
  1. Magdy A. El-Tawil
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  2. Noha A. Al-Mulla
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Editor information

Editors and Affiliations

  1. Department of Computer Science, University of Calgary, 2500 University Drive N.W., T2N 1N4, Calgary, AB, Canada

    Marina L. Gavrilova

  2. Exascala Ltd., Unit 9, 97 Rickman Drive, B15 2AL, Birmingham, UK

    C. J. Kenneth Tan

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El-Tawil, M.A., Al-Mulla, N.A. (2010). Using Homotopy-WHEP Technique in Solving Nonlinear Diffusion Equation with Stochastic No Homogeneity. In: Gavrilova, M.L., Tan, C.J.K. (eds) Transactions on Computational Science VII. Lecture Notes in Computer Science, vol 5890. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11389-5_3

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  • DOI: https://doi.org/10.1007/978-3-642-11389-5_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-11388-8

  • Online ISBN: 978-3-642-11389-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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