Analytic and Approximate Solutions of Space-Time Fractional Telegraph Equations via Laplace Transform
In this paper, we consider a fractional model of telegraph equation in terms of voltage and current. The fractional derivatives are taken in the Caputo sense. The numerical algorithm based on the homotopy perturbation transform method (HPTM) is applied to obtain analytic and approximate solutions of...
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| Format: | Article |
| Language: | English |
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Walailak University
2013-12-01
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| Series: | Walailak Journal of Science and Technology |
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| Online Access: | http://wjst.wu.ac.th/index.php/wjst/article/view/467 |
| _version_ | 1818851842635857920 |
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| author | Devendra KUMAR Jagdev SINGH Sunil KUMAR |
| author_facet | Devendra KUMAR Jagdev SINGH Sunil KUMAR |
| author_sort | Devendra KUMAR |
| collection | DOAJ |
| description | In this paper, we consider a fractional model of telegraph equation in terms of voltage and current. The fractional derivatives are taken in the Caputo sense. The numerical algorithm based on the homotopy perturbation transform method (HPTM) is applied to obtain analytic and approximate solutions of the space-time fractional telegraph equations. The HPTM is combined in the form of Laplace transform and homotopy perturbation method. The results obtained by the HPTM show that the approach is easy to implement and computationally very attractive.
doi:10.14456/WJST.2014.91 |
| first_indexed | 2024-12-19T07:11:27Z |
| format | Article |
| id | doaj.art-a74114cbaab24ed78a348c2416ea14cd |
| institution | Directory Open Access Journal |
| issn | 1686-3933 2228-835X |
| language | English |
| last_indexed | 2024-12-19T07:11:27Z |
| publishDate | 2013-12-01 |
| publisher | Walailak University |
| record_format | Article |
| series | Walailak Journal of Science and Technology |
| spelling | doaj.art-a74114cbaab24ed78a348c2416ea14cd2022-12-21T20:31:12ZengWalailak UniversityWalailak Journal of Science and Technology1686-39332228-835X2013-12-0111810.2004/wjst.v11i8.467398Analytic and Approximate Solutions of Space-Time Fractional Telegraph Equations via Laplace TransformDevendra KUMAR0Jagdev SINGH1Sunil KUMAR2Department of Mathematics, JaganNath Gupta Institute of Engineering and Technology, Jaipur 302022, RajasthanDepartment of Mathematics, Jagan Nath University, Village-Rampura, Tehsil-Chaksu, Jaipur 303901, RajasthanDepartment of Mathematics, National Institute of Technology, Jamshedpur 831014, JharkhandIn this paper, we consider a fractional model of telegraph equation in terms of voltage and current. The fractional derivatives are taken in the Caputo sense. The numerical algorithm based on the homotopy perturbation transform method (HPTM) is applied to obtain analytic and approximate solutions of the space-time fractional telegraph equations. The HPTM is combined in the form of Laplace transform and homotopy perturbation method. The results obtained by the HPTM show that the approach is easy to implement and computationally very attractive. doi:10.14456/WJST.2014.91http://wjst.wu.ac.th/index.php/wjst/article/view/467Laplace transform methodhomotopy perturbation methodspace-time fractional telegraph equationstransmission line |
| spellingShingle | Devendra KUMAR Jagdev SINGH Sunil KUMAR Analytic and Approximate Solutions of Space-Time Fractional Telegraph Equations via Laplace Transform Walailak Journal of Science and Technology Laplace transform method homotopy perturbation method space-time fractional telegraph equations transmission line |
| title | Analytic and Approximate Solutions of Space-Time Fractional Telegraph Equations via Laplace Transform |
| title_full | Analytic and Approximate Solutions of Space-Time Fractional Telegraph Equations via Laplace Transform |
| title_fullStr | Analytic and Approximate Solutions of Space-Time Fractional Telegraph Equations via Laplace Transform |
| title_full_unstemmed | Analytic and Approximate Solutions of Space-Time Fractional Telegraph Equations via Laplace Transform |
| title_short | Analytic and Approximate Solutions of Space-Time Fractional Telegraph Equations via Laplace Transform |
| title_sort | analytic and approximate solutions of space time fractional telegraph equations via laplace transform |
| topic | Laplace transform method homotopy perturbation method space-time fractional telegraph equations transmission line |
| url | http://wjst.wu.ac.th/index.php/wjst/article/view/467 |
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