The Numerical Investigation of Fractional-Order Zakharov–Kuznetsov Equations
In this article, a modified method called the Elzaki decomposition method has been applied to analyze time-fractional Zakharov–Kuznetsov equations. In this method, the Adomian decomposition technique and Elzaki transformation are combined. Two problems are investigated to show and validate the effic...
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| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/4570605 |
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| author | Pongsakorn Sunthrayuth Farman Ali A. A. Alderremy Rasool Shah Shaban Aly Y. S. Hamed Jeevan Katle |
| author_facet | Pongsakorn Sunthrayuth Farman Ali A. A. Alderremy Rasool Shah Shaban Aly Y. S. Hamed Jeevan Katle |
| author_sort | Pongsakorn Sunthrayuth |
| collection | DOAJ |
| description | In this article, a modified method called the Elzaki decomposition method has been applied to analyze time-fractional Zakharov–Kuznetsov equations. In this method, the Adomian decomposition technique and Elzaki transformation are combined. Two problems are investigated to show and validate the efficiency of the suggested method. It is also shown that the solutions achieved from the current producer are in good contact with the exact solutions to show with the help of graphs and table. It is observed that the suggested technique is to be reliable, efficient, and straightforward to implement for many related models of engineering and science. |
| format | Article |
| id | doaj-art-dda587fbcf2c4901a0a623688c4a517c |
| institution | OA Journals |
| issn | 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-dda587fbcf2c4901a0a623688c4a517c2025-08-20T02:21:30ZengWileyComplexity1099-05262021-01-01202110.1155/2021/4570605The Numerical Investigation of Fractional-Order Zakharov–Kuznetsov EquationsPongsakorn Sunthrayuth0Farman Ali1A. A. Alderremy2Rasool Shah3Shaban Aly4Y. S. Hamed5Jeevan Katle6Department of Mathematics and Computer ScienceDepartment of SoftwareDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of Mathematics and StatisticsCentral Department of MathematicsIn this article, a modified method called the Elzaki decomposition method has been applied to analyze time-fractional Zakharov–Kuznetsov equations. In this method, the Adomian decomposition technique and Elzaki transformation are combined. Two problems are investigated to show and validate the efficiency of the suggested method. It is also shown that the solutions achieved from the current producer are in good contact with the exact solutions to show with the help of graphs and table. It is observed that the suggested technique is to be reliable, efficient, and straightforward to implement for many related models of engineering and science.http://dx.doi.org/10.1155/2021/4570605 |
| spellingShingle | Pongsakorn Sunthrayuth Farman Ali A. A. Alderremy Rasool Shah Shaban Aly Y. S. Hamed Jeevan Katle The Numerical Investigation of Fractional-Order Zakharov–Kuznetsov Equations Complexity |
| title | The Numerical Investigation of Fractional-Order Zakharov–Kuznetsov Equations |
| title_full | The Numerical Investigation of Fractional-Order Zakharov–Kuznetsov Equations |
| title_fullStr | The Numerical Investigation of Fractional-Order Zakharov–Kuznetsov Equations |
| title_full_unstemmed | The Numerical Investigation of Fractional-Order Zakharov–Kuznetsov Equations |
| title_short | The Numerical Investigation of Fractional-Order Zakharov–Kuznetsov Equations |
| title_sort | numerical investigation of fractional order zakharov kuznetsov equations |
| url | http://dx.doi.org/10.1155/2021/4570605 |
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