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

Entropy

Linjun Wang²  Xumei Chen¹ 

[1] Department of Mathematics, Faculty of Science, Jiangsu University, Zhenjiang 212013, China; E-Mail

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

DOI  :  10.3390/e17096519

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland.