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 BV
2024
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| Online Access: | http://psasir.upm.edu.my/id/eprint/106128/1/1-s2.0-S2666818124000172-main.pdf |
| _version_ | 1825939318707847168 |
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| author | Asaduzzaman, Md. Özger, Faruk Kilicman, Adem |
| author_facet | Asaduzzaman, Md. Özger, Faruk Kilicman, Adem |
| author_sort | Asaduzzaman, Md. |
| collection | UPM |
| 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 | 2024-12-09T02:17:22Z |
| format | Article |
| id | upm.eprints-106128 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-12-09T02:17:22Z |
| publishDate | 2024 |
| publisher | Elsevier BV |
| record_format | dspace |
| spelling | upm.eprints-1061282024-10-08T08:13:15Z http://psasir.upm.edu.my/id/eprint/106128/ Analytical approximate solutions to the nonlinear fornberg–whitham type equations via modified variational iteration method Asaduzzaman, Md. Özger, Faruk Kilicman, Adem 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. Elsevier BV 2024 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/106128/1/1-s2.0-S2666818124000172-main.pdf Asaduzzaman, Md. and Özger, Faruk and Kilicman, Adem (2024) Analytical approximate solutions to the nonlinear fornberg–whitham type equations via modified variational iteration method. Partial Differential Equations in Applied Mathematics, 9. art. no. 100631. pp. 1-8. ISSN 2666-8181 https://linkinghub.elsevier.com/retrieve/pii/S2666818124000172 10.1016/j.padiff.2024.100631 |
| spellingShingle | Asaduzzaman, Md. Özger, Faruk Kilicman, Adem Analytical approximate solutions to the nonlinear fornberg–whitham type equations via modified variational iteration method |
| 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 |
| url | http://psasir.upm.edu.my/id/eprint/106128/1/1-s2.0-S2666818124000172-main.pdf |
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