New treatment of fractional Fornberg–Whitham equation via Laplace transform
In this paper, a user friendly algorithm based on new homotopy perturbation transform method (HPTM) is proposed to solve nonlinear fractional Fornberg–Whitham equation in wave breaking. The new homotopy perturbation transform method is combined form of Laplace transform, homotopy perturbation method...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2013-09-01
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| Series: | Ain Shams Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2090447912001177 |
| _version_ | 1819105706888921088 |
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| author | Jagdev Singh Devendra Kumar Sunil Kumar |
| author_facet | Jagdev Singh Devendra Kumar Sunil Kumar |
| author_sort | Jagdev Singh |
| collection | DOAJ |
| description | In this paper, a user friendly algorithm based on new homotopy perturbation transform method (HPTM) is proposed to solve nonlinear fractional Fornberg–Whitham equation in wave breaking. The new homotopy perturbation transform method is combined form of Laplace transform, homotopy perturbation method and He’s polynomials. The nonlinear terms can be easily handled by the use of He’s polynomials. The numerical solutions obtained by the proposed method indicate that the approach is easy to implement and computationally very attractive. |
| first_indexed | 2024-12-22T02:26:31Z |
| format | Article |
| id | doaj.art-96aad77aa8ee4c94a846f41028b1619a |
| institution | Directory Open Access Journal |
| issn | 2090-4479 |
| language | English |
| last_indexed | 2024-12-22T02:26:31Z |
| publishDate | 2013-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Ain Shams Engineering Journal |
| spelling | doaj.art-96aad77aa8ee4c94a846f41028b1619a2022-12-21T18:41:59ZengElsevierAin Shams Engineering Journal2090-44792013-09-014355756210.1016/j.asej.2012.11.009New treatment of fractional Fornberg–Whitham equation via Laplace transformJagdev Singh0Devendra Kumar1Sunil Kumar2Department of Mathematics, JaganNath University, Village-Rampura, Tehsil-Chaksu, Jaipur 303 901, Rajasthan, IndiaDepartment of Mathematics, JaganNath Gupta Institute of Engineering and Technology, Jaipur 302 022, Rajasthan, IndiaDepartment of Mathematics, National Institute of Technology, Jamshedpur 831 014, Jharkhand, IndiaIn this paper, a user friendly algorithm based on new homotopy perturbation transform method (HPTM) is proposed to solve nonlinear fractional Fornberg–Whitham equation in wave breaking. The new homotopy perturbation transform method is combined form of Laplace transform, homotopy perturbation method and He’s polynomials. The nonlinear terms can be easily handled by the use of He’s polynomials. The numerical solutions obtained by the proposed method indicate that the approach is easy to implement and computationally very attractive.http://www.sciencedirect.com/science/article/pii/S2090447912001177Fractional Fornberg–Whitham equationWave breakingLaplace transformNew homotopy perturbation transform methodHe’s polynomials |
| spellingShingle | Jagdev Singh Devendra Kumar Sunil Kumar New treatment of fractional Fornberg–Whitham equation via Laplace transform Ain Shams Engineering Journal Fractional Fornberg–Whitham equation Wave breaking Laplace transform New homotopy perturbation transform method He’s polynomials |
| title | New treatment of fractional Fornberg–Whitham equation via Laplace transform |
| title_full | New treatment of fractional Fornberg–Whitham equation via Laplace transform |
| title_fullStr | New treatment of fractional Fornberg–Whitham equation via Laplace transform |
| title_full_unstemmed | New treatment of fractional Fornberg–Whitham equation via Laplace transform |
| title_short | New treatment of fractional Fornberg–Whitham equation via Laplace transform |
| title_sort | new treatment of fractional fornberg whitham equation via laplace transform |
| topic | Fractional Fornberg–Whitham equation Wave breaking Laplace transform New homotopy perturbation transform method He’s polynomials |
| url | http://www.sciencedirect.com/science/article/pii/S2090447912001177 |
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