An effective computational method to deal with a time-fractional nonlinear water wave equation in the Caputo sense

Kamyar Hosseini, Mousa Ilie, Mohammad Mirzazadeh, Abdullahi Yusuf, Tukur Abdulkadir Sulaiman, Dumitru Baleanu and Soheil Salahshour

Mathematics and Computers in Simulation (MATCOM), 2021, vol. 187, issue C, 248-260

Abstract: The authors’ concern of the present paper is to conduct a systematic study on a time-fractional nonlinear water wave equation which is an evolutionary version of the Boussinesq system. The study goes on by adopting a new analytical method based on the Laplace transform and the homotopy analysis method to the governing model and obtaining its approximate solutions in the presence of the Caputo fractional derivative. To analyze the influence of the Caputo operator on the dynamical behavior of the approximate solutions, some graphical illustrations in two- and three-dimensions are formally presented. Furthermore, several numerical tables are given to support the performance of the new analytical method in handling the time-fractional nonlinear water wave equation.

Keywords: Time-fractional nonlinear water wave equation; Caputo derivative; Laplace transform; Homotopy analysis method; Approximate solutions (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:187:y:2021:i:c:p:248-260

DOI: 10.1016/j.matcom.2021.02.021

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