Analytical approximate solutions to the nonlinear Fornberg–Whitham type equations via modified variational iteration method
In this paper, we utilize the modified variational iteration method introduced by Abassy et al. for obtaining the analytical approximate solutions of the nonlinear Fornberg–Whitham equation and modified nonlinear Fornberg–Whitham equation. Here, we use the Maple 2021 software package for finding the...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2024-03-01
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| Series: | Partial Differential Equations in Applied Mathematics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818124000172 |
| _version_ | 1827316900099522560 |
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| author | Md. Asaduzzaman Faruk Özger Adem Kilicman |
| author_facet | Md. Asaduzzaman Faruk Özger Adem Kilicman |
| author_sort | Md. Asaduzzaman |
| collection | DOAJ |
| description | In this paper, we utilize the modified variational iteration method introduced by Abassy et al. for obtaining the analytical approximate solutions of the nonlinear Fornberg–Whitham equation and modified nonlinear Fornberg–Whitham equation. Here, we use the Maple 2021 software package for finding the analytical approximate solutions of the nonlinear Fornberg–Whitham equation and modified nonlinear Fornberg–Whitham equation and drawing their graphical representations. Moreover, here we provide a numerical comparison among the obtained analytical approximate solutions and exact solution for different particular cases. The obtained result of this paper confirm that the modified variational iteration method is more fruitful, straightforward, suitable and time consumed in repeated calculations than He's variational iteration method in case of finding analytical approximate solutions of the nonlinear Fornberg–Whitham equation and modified nonlinear Fornberg–Whitham equation. |
| first_indexed | 2024-03-08T05:54:21Z |
| format | Article |
| id | doaj.art-27b3c1bbf6a94a929656f1625c39f7f0 |
| institution | Directory Open Access Journal |
| issn | 2666-8181 |
| language | English |
| last_indexed | 2024-04-24T23:23:34Z |
| publishDate | 2024-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj.art-27b3c1bbf6a94a929656f1625c39f7f02024-03-16T05:09:33ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812024-03-019100631Analytical approximate solutions to the nonlinear Fornberg–Whitham type equations via modified variational iteration methodMd. Asaduzzaman0Faruk Özger1Adem Kilicman2Department of Mathematics, Islamic University, Kushtia, 7003, Bangladesh; Corresponding author.Department of Engineering Sciences, Izmir Katip Celebi University, 35620, Izmir, TürkiyeDepartment of Mathematics, Universiti Putra Malaysia, 43400, Serdang, Selangor, MalaysiaIn this paper, we utilize the modified variational iteration method introduced by Abassy et al. for obtaining the analytical approximate solutions of the nonlinear Fornberg–Whitham equation and modified nonlinear Fornberg–Whitham equation. Here, we use the Maple 2021 software package for finding the analytical approximate solutions of the nonlinear Fornberg–Whitham equation and modified nonlinear Fornberg–Whitham equation and drawing their graphical representations. Moreover, here we provide a numerical comparison among the obtained analytical approximate solutions and exact solution for different particular cases. The obtained result of this paper confirm that the modified variational iteration method is more fruitful, straightforward, suitable and time consumed in repeated calculations than He's variational iteration method in case of finding analytical approximate solutions of the nonlinear Fornberg–Whitham equation and modified nonlinear Fornberg–Whitham equation.http://www.sciencedirect.com/science/article/pii/S2666818124000172Modified variational iteration methodNonlinear Fornberg–Whitham equationModified nonlinear Fornberg–Whitham equationAnalytical approximate solutionMaple 2021 software package |
| spellingShingle | Md. Asaduzzaman Faruk Özger Adem Kilicman Analytical approximate solutions to the nonlinear Fornberg–Whitham type equations via modified variational iteration method Partial Differential Equations in Applied Mathematics Modified variational iteration method Nonlinear Fornberg–Whitham equation Modified nonlinear Fornberg–Whitham equation Analytical approximate solution Maple 2021 software package |
| title | Analytical approximate solutions to the nonlinear Fornberg–Whitham type equations via modified variational iteration method |
| title_full | Analytical approximate solutions to the nonlinear Fornberg–Whitham type equations via modified variational iteration method |
| title_fullStr | Analytical approximate solutions to the nonlinear Fornberg–Whitham type equations via modified variational iteration method |
| title_full_unstemmed | Analytical approximate solutions to the nonlinear Fornberg–Whitham type equations via modified variational iteration method |
| title_short | Analytical approximate solutions to the nonlinear Fornberg–Whitham type equations via modified variational iteration method |
| title_sort | analytical approximate solutions to the nonlinear fornberg whitham type equations via modified variational iteration method |
| topic | Modified variational iteration method Nonlinear Fornberg–Whitham equation Modified nonlinear Fornberg–Whitham equation Analytical approximate solution Maple 2021 software package |
| url | http://www.sciencedirect.com/science/article/pii/S2666818124000172 |
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