MODIFIED HOMOTOPY PERTURBATION METHOD COUPLED WITH LAPLACE TRANSFORM FOR FRACTIONAL HEAT TRANSFER AND POROUS MEDIA EQUATIONS

Abstract

The purpose of this paper is to extend the homotopy perturbation method to fractional heat transfer and porous media equations with the help of the Laplace transform. The fractional derivatives described in this paper are in the Caputo sense. The algorithm is demonstrated to be direct and straightforward, and can be used for many other non-linear fractional differential equations.

Keywords

Dates

  • Submission Date2013-01-16
  • Revision Date2013-04-26
  • Acceptance Date2013-04-27
  • Online Date2013-12-28

DOI Reference

10.2298/TSCI1305409Y

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