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Numerical Solutions of Time-Fractional Whitham–Broer–Kaup Equations via Sumudu Decomposition Method

Author name : Shams Eldeen Ahmed Abdelmajed Mohammed
Publication Date : 2023-05-09
Journal Name : Journal of Mathematics

Abstract

In this paper, the coupled system of Whitham–Broer–Kaup equations of the Caputo fractional derivative (CFD) is studied using the Sumudu decomposition method (SDM). Using different dispersion relations, these equations are needed to describe the properties of waves in shallow water. The current investigation for the future scheme includes convergence and error analysis. We use two examples to demonstrate the leverage and effectiveness of the proposed scheme, and the error analysis is discussed to ensure its accuracy. The numerical simulation is carried out to ensure the accuracy of the future technique. The obtained numerical and graphical results are presented, and the proposed scheme is computationally very accurate and simple to study and solve fractionally coupled nonlinear complex phenomena encountered in science and technology.

Keywords

Whitham-Broer-Kaup equations; Nonlinear partial fractional differential equation; Caputo derivative; Sumudu decomposition method; Numerical solutions.

Publication Link

https://doi.org/10.1155/2023/4664866

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