A Reliable Algorithm for a Local Fractional Tricomi Equation Arising in Fractal Transonic Flow
The pivotal proposal of this work is to present a reliable algorithm based on the local fractional homotopy perturbation Sumudu transform technique for solving a local fractional Tricomi equation occurring in fractal transonic flow. The proposed technique provides the results without any transformat...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2016-05-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/18/6/206 |
| _version_ | 1817989598259707904 |
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| author | Jagdev Singh Devendra Kumar Juan J. Nieto |
| author_facet | Jagdev Singh Devendra Kumar Juan J. Nieto |
| author_sort | Jagdev Singh |
| collection | DOAJ |
| description | The pivotal proposal of this work is to present a reliable algorithm based on the local fractional homotopy perturbation Sumudu transform technique for solving a local fractional Tricomi equation occurring in fractal transonic flow. The proposed technique provides the results without any transformation of the equation into discrete counterparts or imposing restrictive assumptions and is completely free of round-off errors. The results of the scheme show that the approach is straightforward to apply and computationally very user-friendly and accurate. |
| first_indexed | 2024-04-14T00:48:13Z |
| format | Article |
| id | doaj.art-bc4d46226c364926be34b0bfab0ab181 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-14T00:48:13Z |
| publishDate | 2016-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-bc4d46226c364926be34b0bfab0ab1812022-12-22T02:21:54ZengMDPI AGEntropy1099-43002016-05-0118620610.3390/e18060206e18060206A Reliable Algorithm for a Local Fractional Tricomi Equation Arising in Fractal Transonic FlowJagdev Singh0Devendra Kumar1Juan J. Nieto2Department of Mathematics, Jagan Nath University, Jaipur 303901, IndiaDepartment of Mathematics, JECRC University, Jaipur 303905, IndiaDepartamento de Análise Matemática, Facultade de Matemáticas, Universidade de Santiago de Compostela, Santiago de Compostela 15782, SpainThe pivotal proposal of this work is to present a reliable algorithm based on the local fractional homotopy perturbation Sumudu transform technique for solving a local fractional Tricomi equation occurring in fractal transonic flow. The proposed technique provides the results without any transformation of the equation into discrete counterparts or imposing restrictive assumptions and is completely free of round-off errors. The results of the scheme show that the approach is straightforward to apply and computationally very user-friendly and accurate.http://www.mdpi.com/1099-4300/18/6/206Tricomi equationfractal transonic flowlocal fractional derivativehomotopy perturbation methodlocal fractional Sumudu transform method |
| spellingShingle | Jagdev Singh Devendra Kumar Juan J. Nieto A Reliable Algorithm for a Local Fractional Tricomi Equation Arising in Fractal Transonic Flow Entropy Tricomi equation fractal transonic flow local fractional derivative homotopy perturbation method local fractional Sumudu transform method |
| title | A Reliable Algorithm for a Local Fractional Tricomi Equation Arising in Fractal Transonic Flow |
| title_full | A Reliable Algorithm for a Local Fractional Tricomi Equation Arising in Fractal Transonic Flow |
| title_fullStr | A Reliable Algorithm for a Local Fractional Tricomi Equation Arising in Fractal Transonic Flow |
| title_full_unstemmed | A Reliable Algorithm for a Local Fractional Tricomi Equation Arising in Fractal Transonic Flow |
| title_short | A Reliable Algorithm for a Local Fractional Tricomi Equation Arising in Fractal Transonic Flow |
| title_sort | reliable algorithm for a local fractional tricomi equation arising in fractal transonic flow |
| topic | Tricomi equation fractal transonic flow local fractional derivative homotopy perturbation method local fractional Sumudu transform method |
| url | http://www.mdpi.com/1099-4300/18/6/206 |
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