The Application of Homotopy Analysis Method to Non-linear Reaction Diffusion System

Authors

  • Hafiz Abdul Wahab DEPARTMENT OF MATHEMATICS HAZARA UNIVERSITY MANSEHRA
  • Hazrat Ali
  • Khalid Usman
  • Muhammad Naeem
  • Saira Bhatti
  • Muhammad Shahzad
  • Sarfraz Ahmed

DOI:

https://doi.org/10.24949/njes.v10i1.166

Keywords:

Predator prey interactions, Comparison of perturbation methods, Homotopy analysis method

Abstract

In this paper, the homotopy analysis method is applied to the non-linear reaction-diffusion system of Lotka-Volterra type subject of extensive numerical and analytical studies. The comparisons of the other analytical techniques are presented in tables to show the accuracy of this method. The results show that the homotopy analysis method is more reliable than the other available techniques giving the advantage of the choice of some quantities such as initial guess, auxiliary function, an auxiliary parameter that play an important role in the convergence of the series solution.

Author Biographies

Muhammad Naeem

Department of IT, Abbottabad University of Science and Technology, Havelian, Abbottabad, Pakistan

Saira Bhatti

Department of Mathematics, Hazara University, Mansehra, Pakistan

References

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Wahab, H.A., S. Bhatti& M. Naeem. A comparison of perturbation techniques for nonlinear problems.Journal of Prime Research in Mathematics, 10:59-79(2015)

Wahab, H.A., A. Jamal, S. Bhatti, M. Naeem, M. Shahzad& S. Hussain. Application of homotopy perturbation method to the navier-stokes equations in cylindrical coordinates.Computational Ecology and Software 5(2):139-151(2015)

Wahab,H.A., S. Hussain, S. Bhatti& M. Naeem. Mixed convection flow of powell-eyring fluid over a stretching cylinder with newtonian heating.Kuwait Journal of Science, (Accepted) (2015)

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Published

2017-04-20

Issue

Section

Engineering Sciences