Homotopy Analysis Method for Fractional Reaction-Diffusion Equation with Ecological Parameters

Authors

  • Zaffar MEHMOOD Department of Mathematics, HITEC University Taxila Cantt
  • Raja MEHMOOD Department of Mathematics, Ege University, Bornova, İzmir 35100
  • Ahmet YILDIRIM Department of Mathematics, Ege University, Bornova, İzmir 35100
  • Syed Tauseef MOHYUD-DIN Department of Mathematics, HITEC University, Taxila Cantt

Keywords:

Homotopy analysis method, fractional calculus, reaction-diffusion equation

Abstract

This paper applies the Homotopy Analysis Method (HAM) to obtain analytical solutions of fractional reaction-diffusion equations with ecological parameters, which arise very frequently in mechanical engineering, control theory, solid mechanics and applied sciences. Numerical results reveal the complete compatibility of proposed algorithm for such problems. Some examples are presented to show the efficiency and simplicity of the method.

doi:10.14456/WJST.2014.37

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Author Biographies

Zaffar MEHMOOD, Department of Mathematics, HITEC University Taxila Cantt

Department of Mathematics

Raja MEHMOOD, Department of Mathematics, Ege University, Bornova, İzmir 35100

Department of Mathematics

Ahmet YILDIRIM, Department of Mathematics, Ege University, Bornova, İzmir 35100

Department of Mathematics

Syed Tauseef MOHYUD-DIN, Department of Mathematics, HITEC University, Taxila Cantt

Department of Mathematics, HITEC University

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Published

2013-10-31

How to Cite

MEHMOOD, Z., MEHMOOD, R., YILDIRIM, A., & MOHYUD-DIN, S. T. (2013). Homotopy Analysis Method for Fractional Reaction-Diffusion Equation with Ecological Parameters. Walailak Journal of Science and Technology (WJST), 11(3), 179–189. Retrieved from https://wjst.wu.ac.th/index.php/wjst/article/view/388