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Homotopy Perturbation Method for General Form of Porous Medium Equation

卷 12, 册 11, 2009, pp. 1121-1127
DOI: 10.1615/JPorMedia.v12.i11.80
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摘要

In this work we consider the homotopy perturbation method to solve the general form of porous medium equations. This equation has been widely used as a simple model for nonlinear heat propagation in a reactive medium. The results will be compared with the Adomian decomposition method. To illustrate the reliability of the method, some special cases of the equation are solved as examples.

对本文的引用
  1. Reza Seyf Hamid, Moein Rassoulinejad-Mousavi Seyed, An Analytical Study for Fluid Flow in Porous Media Imbedded Inside a Channel With Moving or Stationary Walls Subjected to Injection/Suction, Journal of Fluids Engineering, 133, 9, 2011. Crossref

  2. Raftari Behrouz, Yildirim Ahmet, The application of homotopy perturbation method for MHD flows of UCM fluids above porous stretching sheets, Computers & Mathematics with Applications, 59, 10, 2010. Crossref

  3. Gupta V.G., Gupta Sumit, ANALYTICAL SOLUTION OF SINGULAR FOURTH ORDER PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS OF VARIABLE COEFFICIENTS BY USING HOMOTOPY PERTURBATION TRANSFORM METHOD, Journal of applied mathematics & informatics, 31, 1_2, 2013. Crossref

  4. Barik R. N., Dash G. C., Rath P. K., Homotopy Perturbation Method (HPM) Solution for Flow of a Conducting Visco-elastic Fluid Through a Porous Medium, Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 84, 1, 2014. Crossref

  5. Gupta Sumit, Kumar Devendra, Singh Jagdev, Analytical solutions of convection–diffusion problems by combining Laplace transform method and homotopy perturbation method, Alexandria Engineering Journal, 54, 3, 2015. Crossref

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