IJPAM: Volume 98, No. 4 (2015)

APPROXIMATE ANALYTICAL SOLUTION OF THE TIME
FRACTIONAL WHITHAM-BROER-KAUP EQUATION USING
THE HOMOTOPY ANALYSIS METHOD

Ali Kurt$^1$, Orkun Tasbozan$^2$
$^{1,2}$Department of Mathematics
Faculty of Science and Art
Mustafa Kemal University
Hatay, 31000, TURKEY


Abstract. In this paper, the homotopy analysis method (HAM) is applied to the time fractional Whitham-Broer-Kaup equation to obtain its approximate analytical solutions. The HAM solution includes an auxiliary parameter $\hbar $ which provides a suitable way of adjusting and controlling the convergence region of solution series.

Received: October 5, 2014

AMS Subject Classification: 35A25, 58B05

Key Words and Phrases: homotopy analysis method, approximate analytical solution, the time fractional Whitham-Broer-Kaup equation

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DOI: 10.12732/ijpam.v98i4.9 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 98
Issue: 4
Pages: 503 - 510


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