Approximate Solution of an Unknown Coefficients in Parabolic Equation

Authors

Mine Aylin Bayrak, Kocaeli University, Department of Mathematics, Izmit, Kocaeli, TurkeyFollow
Emine Can

Author Country (or Countries)

Turkey

Abstract

In this paper, an inverse parabolic equation is solved by using the homotopy analysis method (HAM) and the homotopy perturbation method (HPM). The approximation solution of this equation is calculated in the form of series which its components are computed easily. HPM is shown not always to generate a continuous family of solutions in terms of the homotopy parameter. By the convergence-control parameter this can however be prevented to occur in the HAM. Illustrative examples are presented to exhibit a comparison between the HAM and the HPM.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/amis/080414

Recommended Citation

Aylin Bayrak, Mine and Can, Emine (2014) "Approximate Solution of an Unknown Coefficients in Parabolic Equation," Applied Mathematics & Information Sciences: Vol. 08: Iss. 4, Article 14.
DOI: http://dx.doi.org/10.12785/amis/080414
Available at: https://digitalcommons.aaru.edu.jo/amis/vol08/iss4/14