Homotopy Perturbation Algorithm using Laplace Transformation

In this paper, a combinatory method of the Laplace transform and the homotopy perturbation method is proposed to solve non-homogeneous partial differential equations with variable coefficients. The obtained approximate solutions are compared with exact solutions and those obtained by other analytical methods, showing reliability of the present method. Keyword: Laplace transform, Homotopy Perturbation Method, semi-analytical, non-homogeneous partial differential equation. Biographical Notes: Mahdi Fathizadeh, a chemical engineering doctoral student at Amirkabir University (polytechnic of Tehran, Iran), has published 2 articles in ISI-listed journals, and more than 10 conference papers. His current research interest mainly covers in process modeling, polymer and chemical engineering, membrane technology, and transport phenomena.