New Iterative Method for Solving a Coupled System of Fractional-Order Drinfeld–Sokolov–Wilson (FDSW) and Fractional Shallow Water (FSW) Equations-Reference-Cited by-同舟云学术

New Iterative Method for Solving a Coupled System of Fractional-Order Drinfeld–Sokolov–Wilson (FDSW) and Fractional Shallow Water (FSW) Equations

Published:2022-04-07 Issue: Volume:2022 Page:1-13
ISSN:1687-4129
Container-title:Journal of Nanomaterials
language:en
Short-container-title:Journal of Nanomaterials

Author:

Ali Nasir¹^ORCID,Yassen Mansour F.²³,Asiri Saeed Ahmed⁴^ORCID,Nawaz Rashid¹^ORCID,Zada Laiq¹,Alam Mohammad Mahtab⁵^ORCID,Sene Ndolane⁶^ORCID

Affiliation:

1. Department of Mathematics, Abdul Wali Khan University Mardan, KP, Pakistan

2. Department of Mathematics, College of Science and Humanities in Al-Aflaj, Prince Sattam Bin Abdulaziz University, Al-Aflaj 11912, Saudi Arabia

3. Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517 Damietta, Egypt

4. Mechanical Engineering Department, Engineering College, King Abdulaziz University, Jeddah, Saudi Arabia

5. Department of Basic Medical Sciences, College of Applied Medical Science, King Khalid University, Abha 61421, Saudi Arabia

6. Laboratoire Lmdan, Departement De Mathematiques De Decision, Facultíe des Sciences Economiques et Gestion, Universite Cheikh Anta Diop De Dakar, BP 5683 Dakar Fann, Senegal

Abstract

In this study, the new iterative method has been applied to a coupled system of fractional-order Drinfeld–Sokolov–Wilson (FDSW) and fractional shallow water (FSW) equations. The fractional-order derivatives are taken in the Caputo sense whose order is between 0 and 1. The suggested method is capable to handle the FDEs without any transformation and discretization. The obtained results have been compared with the exact solution and with the q-homotopy analysis transform method. The outcomes show the efficiency and effectiveness of NIM by comparing through tables and graphs.

Funder

King Khalid University

Publisher

Hindawi Limited

Subject

General Materials Science

Link

http://downloads.hindawi.com/journals/jnm/2022/8370107.pdf

Reference25 articles.

1. Basic Concepts Underlying Singular Perturbation Techniques

2. Finite difference methods for differential equations;R. J. LeVeque;Draft Version for Use in a Math,1998

3. A study on linear and nonlinear Schrodinger equations by the variational iteration method

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A Comparative Analysis of Two Semi Analytic Approaches in Solving Systems of First-Order Differential Equations;Scientific Journal of Mehmet Akif Ersoy University;2024-06-30

2. Analyzing fractional effects on solutions of the generalized perturbed Zakharov-Kuznetsov equation using a residual series method with Caputo derivatives;International Journal of Modelling and Simulation;2024-04-28

3. A novel method to study time fractional coupled systems of shallow water equations arising in ocean engineering;AIMS Mathematics;2024

4. Hybrid nanofluid MHD motion towards an exponentially stretching/shrinking sheet with the effect of thermal radiation, heat source and viscous dissipation;Pramana;2023-04-06

5. NTIM solution of the fractional order parabolic partial differential equations;Open Physics;2022-01-01