An Analytical Approach to Time-Fractional Harry Dym Equation

Authors

Olaniyi Samuel Iyiola, Department of Mathematical Sciences, University of Wisconsin, Milwaukee, USAFollow
Yaé Ulrich Gaba, Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch 7701, South AfricaFollow

Author Country (or Countries)

USA

Abstract

In this paper, we consider the time-fractional Harry Dym equation. An analytical solution is obtained in series form using q-Homotopy Analysis Method (q-HAM). The presence of the auxiliary parameter h and the fraction-factor in this method gives it an edge over other existing analytical methods for non-linear differential equations. Comparisons are made with several other analytical methods. Our error analysis shows that the analytical solution converges very rapidly to the exact solution. Numerical results are obtained using Mathematica 9 and MATLAB R2012b.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100204

Recommended Citation

Samuel Iyiola, Olaniyi and Ulrich Gaba, Yaé (2016) "An Analytical Approach to Time-Fractional Harry Dym Equation," Applied Mathematics & Information Sciences: Vol. 10: Iss. 2, Article 4.
DOI: http://dx.doi.org/10.18576/amis/100204
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss2/4