IJPAM: Volume 98, No. 4 (2015)
FRACTIONAL WHITHAM-BROER-KAUP EQUATION USING
THE HOMOTOPY ANALYSIS METHOD
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 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
Pages: 503 - 510