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

Autor: Shams A. Ahmed, Mohamed Elbadri, Abdelgabar Adam Hassan, Walid Hdidi
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Journal of Mathematics, Vol 2023 (2023)
Druh dokumentu: article
ISSN: 2314-4785
DOI: 10.1155/2023/4664866
Popis: 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.
Databáze: Directory of Open Access Journals