Combination of integral and projected differential transform methods for time-fractional gas dynamics equations
The present paper discusses the solution of nonlinear homogeneous and nonhomogeneous time-fractional gas dynamic equations arising in shock fronts by a new combination of new integral and projected differential transform method. The new integral projected differential transform method (NIPDTM) makes...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Ain Shams University
2018
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| Online Access: | http://psasir.upm.edu.my/id/eprint/73439/ http://psasir.upm.edu.my/id/eprint/73439/1/GAS.pdf |
| _version_ | 1848857275305820160 |
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| author | Kilicman, Adem Shah, Kunjan Singh, Twinkle |
| author_facet | Kilicman, Adem Shah, Kunjan Singh, Twinkle |
| author_sort | Kilicman, Adem |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The present paper discusses the solution of nonlinear homogeneous and nonhomogeneous time-fractional gas dynamic equations arising in shock fronts by a new combination of new integral and projected differential transform method. The new integral projected differential transform method (NIPDTM) makes the calculation very simpler and in this method the nonlinear term can be easily handled by projected differential transform without using Adomian’s polynomial and He’s polynomial, which can be taken as a big advantage of this method. This method is more exertive and easy to handle such fractional differential equation in comparison to other methods. The results obtain from illustrative examples shows the competency and accordance of the proposed method. |
| first_indexed | 2025-11-15T11:54:58Z |
| format | Article |
| id | upm-73439 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:54:58Z |
| publishDate | 2018 |
| publisher | Ain Shams University |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-734392021-01-26T19:50:10Z http://psasir.upm.edu.my/id/eprint/73439/ Combination of integral and projected differential transform methods for time-fractional gas dynamics equations Kilicman, Adem Shah, Kunjan Singh, Twinkle The present paper discusses the solution of nonlinear homogeneous and nonhomogeneous time-fractional gas dynamic equations arising in shock fronts by a new combination of new integral and projected differential transform method. The new integral projected differential transform method (NIPDTM) makes the calculation very simpler and in this method the nonlinear term can be easily handled by projected differential transform without using Adomian’s polynomial and He’s polynomial, which can be taken as a big advantage of this method. This method is more exertive and easy to handle such fractional differential equation in comparison to other methods. The results obtain from illustrative examples shows the competency and accordance of the proposed method. Ain Shams University 2018 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/73439/1/GAS.pdf Kilicman, Adem and Shah, Kunjan and Singh, Twinkle (2018) Combination of integral and projected differential transform methods for time-fractional gas dynamics equations. Ain Shams Engineering Journal, 9 (4). 1683 - 1688. ISSN 2090-4479 https://www.sciencedirect.com/science/article/pii/S2090447916301812 10.1016/j.asej.2016.09.012 |
| spellingShingle | Kilicman, Adem Shah, Kunjan Singh, Twinkle Combination of integral and projected differential transform methods for time-fractional gas dynamics equations |
| title | Combination of integral and projected differential transform methods for time-fractional gas dynamics equations |
| title_full | Combination of integral and projected differential transform methods for time-fractional gas dynamics equations |
| title_fullStr | Combination of integral and projected differential transform methods for time-fractional gas dynamics equations |
| title_full_unstemmed | Combination of integral and projected differential transform methods for time-fractional gas dynamics equations |
| title_short | Combination of integral and projected differential transform methods for time-fractional gas dynamics equations |
| title_sort | combination of integral and projected differential transform methods for time-fractional gas dynamics equations |
| url | http://psasir.upm.edu.my/id/eprint/73439/ http://psasir.upm.edu.my/id/eprint/73439/ http://psasir.upm.edu.my/id/eprint/73439/ http://psasir.upm.edu.my/id/eprint/73439/1/GAS.pdf |