Extension of Optimal Homotopy Asymptotic Method with Use of Daftardar–Jeffery Polynomials to Coupled Nonlinear-Korteweg-De-Vries System

Extension of Optimal Homotopy Asymptotic Method with Use of Daftardar–Jeffery Polynomials to Coupled Nonlinear-Korteweg-De-Vries System

In this paper, Daftardar–Jeffery Polynomials are introduced in the Optimal Homotopy Asymptotic Method for solution of a coupled system of nonlinear partial differential equations. The coupled nonlinear KdV system is taken as test example. The results obtained by the proposed method are compared with...

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Main Authors: Rashid Nawaz, Zawar Hussain, Abraiz Khattak, Adam Khan
Format: Article
Language:English
Published: Hindawi-Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/6952709
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spelling doaj-ded65d9b0e394942a89f204d936880ca2020-11-25T02:17:49ZengHindawi-WileyComplexity1076-27871099-05262020-01-01202010.1155/2020/69527096952709Extension of Optimal Homotopy Asymptotic Method with Use of Daftardar–Jeffery Polynomials to Coupled Nonlinear-Korteweg-De-Vries SystemRashid Nawaz0Zawar Hussain1Abraiz Khattak2Adam Khan3Department of Mathematics, Abdul Wali Khan University, Mardan, KP, PakistanDepartment of Mathematics, Abdul Wali Khan University, Mardan, KP, PakistanDepartment of Electrical Power Engineering, U.S.-Pakistan Center for Advanced Studies in Energy (USPCAS-E), National University of Sciences and Technology, Islamabad (44000), PakistanDepartment for Management of Science and Technology Development, Ton DucThang University, Ho Chi Minh City, VietnamIn this paper, Daftardar–Jeffery Polynomials are introduced in the Optimal Homotopy Asymptotic Method for solution of a coupled system of nonlinear partial differential equations. The coupled nonlinear KdV system is taken as test example. The results obtained by the proposed method are compared with the multistage Optimal Homotopy Asymptotic Method. The results show the efficiency and consistency of the proposed method over the Optimal Homotopy Asymptotic Method. In addition, accuracy of the proposed method can be improved by taking higher order approximations.http://dx.doi.org/10.1155/2020/6952709
collection DOAJ
language English
format Article
sources DOAJ
author Rashid Nawaz
Zawar Hussain
Abraiz Khattak
Adam Khan
spellingShingle Rashid Nawaz
Zawar Hussain
Abraiz Khattak
Adam Khan
Extension of Optimal Homotopy Asymptotic Method with Use of Daftardar–Jeffery Polynomials to Coupled Nonlinear-Korteweg-De-Vries System
Complexity
author_facet Rashid Nawaz
Zawar Hussain
Abraiz Khattak
Adam Khan
author_sort Rashid Nawaz
title Extension of Optimal Homotopy Asymptotic Method with Use of Daftardar–Jeffery Polynomials to Coupled Nonlinear-Korteweg-De-Vries System
title_short Extension of Optimal Homotopy Asymptotic Method with Use of Daftardar–Jeffery Polynomials to Coupled Nonlinear-Korteweg-De-Vries System
title_full Extension of Optimal Homotopy Asymptotic Method with Use of Daftardar–Jeffery Polynomials to Coupled Nonlinear-Korteweg-De-Vries System
title_fullStr Extension of Optimal Homotopy Asymptotic Method with Use of Daftardar–Jeffery Polynomials to Coupled Nonlinear-Korteweg-De-Vries System
title_full_unstemmed Extension of Optimal Homotopy Asymptotic Method with Use of Daftardar–Jeffery Polynomials to Coupled Nonlinear-Korteweg-De-Vries System
title_sort extension of optimal homotopy asymptotic method with use of daftardar–jeffery polynomials to coupled nonlinear-korteweg-de-vries system
publisher Hindawi-Wiley
series Complexity
issn 1076-2787
1099-0526
publishDate 2020-01-01
description In this paper, Daftardar–Jeffery Polynomials are introduced in the Optimal Homotopy Asymptotic Method for solution of a coupled system of nonlinear partial differential equations. The coupled nonlinear KdV system is taken as test example. The results obtained by the proposed method are compared with the multistage Optimal Homotopy Asymptotic Method. The results show the efficiency and consistency of the proposed method over the Optimal Homotopy Asymptotic Method. In addition, accuracy of the proposed method can be improved by taking higher order approximations.
url http://dx.doi.org/10.1155/2020/6952709
work_keys_str_mv AT rashidnawaz extensionofoptimalhomotopyasymptoticmethodwithuseofdaftardarjefferypolynomialstocouplednonlinearkortewegdevriessystem
AT zawarhussain extensionofoptimalhomotopyasymptoticmethodwithuseofdaftardarjefferypolynomialstocouplednonlinearkortewegdevriessystem
AT abraizkhattak extensionofoptimalhomotopyasymptoticmethodwithuseofdaftardarjefferypolynomialstocouplednonlinearkortewegdevriessystem
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