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

Nasir Ali; Mansour F. Yassen; Saeed Ahmed Asiri; Rashid Nawaz; Laiq Zada; Mohammad Mahtab Alam; Ndolane Sene

doi:10.1155/2022/8370107

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

Nasir Ali, Mansour F. Yassen, Saeed Ahmed Asiri, Rashid Nawaz, Laiq Zada, Mohammad Mahtab Alam, Ndolane Sene

Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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.

Original language	English
Article number	8370107
Journal	Journal of Nanomaterials
Volume	2022
DOIs	https://doi.org/10.1155/2022/8370107
State	Published - 2022

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

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.",

author = "Nasir Ali and Yassen, \{Mansour F.\} and Asiri, \{Saeed Ahmed\} and Rashid Nawaz and Laiq Zada and Alam, \{Mohammad Mahtab\} and Ndolane Sene",

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year = "2022",

doi = "10.1155/2022/8370107",

language = "English",

volume = "2022",

journal = "Journal of Nanomaterials",

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T1 - New Iterative Method for Solving a Coupled System of Fractional-Order Drinfeld-Sokolov-Wilson (FDSW) and Fractional Shallow Water (FSW) Equations

AU - Ali, Nasir

AU - Yassen, Mansour F.

AU - Asiri, Saeed Ahmed

AU - Nawaz, Rashid

AU - Zada, Laiq

AU - Alam, Mohammad Mahtab

AU - Sene, Ndolane

PY - 2022

Y1 - 2022

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85128774628&partnerID=8YFLogxK

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DO - 10.1155/2022/8370107

M3 - Article

AN - SCOPUS:85128774628

SN - 1687-4110

VL - 2022

JO - Journal of Nanomaterials

JF - Journal of Nanomaterials

M1 - 8370107

ER -

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

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