Approximate Analytical Solutions of Time Fractional Whitham–Broer–Kaup Equations by a Residual Power Series MethodReport as inadecuate




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Department of Mathematics, Faculty of Science, Jiangsu University, Zhenjiang 212013, China





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Academic Editor: J. A. Tenreiro Machado

Abstract In this paper, a new analytic iterative technique, called the residual power series method RPSM, is applied to time fractional Whitham–Broer–Kaup equations. The explicit approximate traveling solutions are obtained by using this method. The efficiency and accuracy of the present method is demonstrated by two aspects. One is analyzing the approximate solutions graphically. The other is comparing the results with those of the Adomian decomposition method ADM, the variational iteration method VIM and the optimal homotopy asymptotic method OHAM. Illustrative examples reveal that the present technique outperforms the aforementioned methods and can be used as an alternative for solving fractional equations. View Full-Text

Keywords: fractional power series; fractional Whitham–Broer–Kaup equations; residual power series method fractional power series; fractional Whitham–Broer–Kaup equations; residual power series method





Author: Linjun Wang and Xumei Chen *

Source: http://mdpi.com/



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