Journal
4TH INTERNATIONAL CONFERENCE ON COMPUTATIONAL MATHEMATICS AND ENGINEERING SCIENCES (CMES-2019)
Volume 1111, Issue -, Pages 49-75Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1007/978-3-030-39112-6_4
Keywords
q-homotopy analysis transform method; Fractional Whitham-Broer-Kaup equations; Laplace transform
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In the present work, the approximated analytical solution for the time-fractional coupled Whitham-Broer-Kaup (WBK) equations describing the propagation of shallow water waves are obtained with the aid of an efficient computational technique called, q-Homotopy analysis transform method (briefly, q-HATM). To demonstrate the reliability and efficiency of the proposed technique, two examples are illustrated. The homotopy polynomials are hired in order to handle the nonlinear terms and the suggested algorithm provides the auxiliary parameters h and n, which help us to control and adjust the convergence region of the obtained series solution. Numerical simulation has been carried out in terms of absolute error. The obtained results revels that, the proposed algorithm is highly methodical and very efficient to solve coupled nonlinear differential system.
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