NUMERICAL INVESTIGATION OF THE NONLINEAR FRACTIONAL OSTROVSKY EQUATION

Fuzhang Wang, Enran Hou, Samir A. Salama and Mostafa M. A. Khater
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Fuzhang Wang: School of Mathematics and Statistics, Xuzhou University of Technology, Xuzhou 221018, P. R. China
Enran Hou: College of Mathematics, Huaibei Normal University, 235000 Huaibei, P. R. China
Samir A. Salama: Division of Biochemistry, Department of Pharmacology, College of Pharmacy, Taif University, P. O. Box 11099, Taif 21944, Saudi Arabia
Mostafa M. A. Khater: School of Medical Informatics and Engineering, Xuzhou Medical University, 209 Tongshan Road, Xuzhou, P. R. China5Department of Basic Science, Obour High Institute for Engineering and Technology, Cairo, Egypt

FRACTALS (fractals), 2022, vol. 30, issue 05, 1-9

Abstract: This research paper investigates the numerical solutions of the nonlinear fractional Ostrovsky equation through five recent numerical schemes (Adomian decomposition (AD), El Kalla (EK), Cubic B-Spline (CBS), extended Cubic B-Spline (ECBS), exponential Cubic B-Spline (ExCBS) schemes). We investigate the obtained computational solutions via the generalized Jacobi elliptical functional (JEF) and modified Khater (MK) methods. This model is considered as a mathematical modification model of the Korteweg–de Vries (KdV) equation with respect to the effects of background rotation. The solitary solutions of the well-known mathematical model (KdV equation) usually decay and are replaced by radiating inertia gravity waves. The obtained solitary solutions show the localized wave packet as a persistent and dominant feature. The accuracy of the obtained numerical solutions is investigated by calculating the absolute error between the exact and numerical solutions. Many sketches are given to illustrate the matching between the exact and numerical solutions.

Keywords: Nonlinear Fractional Ostrovsky Equation; Numerical and Computational Simulations; Semi-Analytical Solution; Approximate Solution (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22401429

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