(1 + n)-Dimensional Burgers’ equation and its analytical solution: A comparative study of HPM, ADM and DTM
In this article, we present homotopy perturbation method, adomian decomposition method and differential transform method to obtain a closed form solution of the (1 + n)-dimensional Burgers’ equation. These methods consider the use of the initial or boundary conditions and find the solution without a...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2014-06-01
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| Series: | Ain Shams Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2090447913001135 |
| _version_ | 1818742001035640832 |
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| author | Vineet K. Srivastava Mukesh K. Awasthi |
| author_facet | Vineet K. Srivastava Mukesh K. Awasthi |
| author_sort | Vineet K. Srivastava |
| collection | DOAJ |
| description | In this article, we present homotopy perturbation method, adomian decomposition method and differential transform method to obtain a closed form solution of the (1 + n)-dimensional Burgers’ equation. These methods consider the use of the initial or boundary conditions and find the solution without any discritization, transformation, or restrictive conditions and avoid the round-off errors. Four numerical examples are provided to validate the reliability and efficiency of the three methods. |
| first_indexed | 2024-12-18T02:05:34Z |
| format | Article |
| id | doaj.art-417d889496904f0db45bd83326ec30d1 |
| institution | Directory Open Access Journal |
| issn | 2090-4479 |
| language | English |
| last_indexed | 2024-12-18T02:05:34Z |
| publishDate | 2014-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Ain Shams Engineering Journal |
| spelling | doaj.art-417d889496904f0db45bd83326ec30d12022-12-21T21:24:36ZengElsevierAin Shams Engineering Journal2090-44792014-06-015253354110.1016/j.asej.2013.10.004(1 + n)-Dimensional Burgers’ equation and its analytical solution: A comparative study of HPM, ADM and DTMVineet K. Srivastava0Mukesh K. Awasthi1ISRO Telemetry, Tracking & Command Network (ISTRAC), Bangalore 560058, IndiaUniversity of Petroleum & Energy Studies, Dehradun 248007, IndiaIn this article, we present homotopy perturbation method, adomian decomposition method and differential transform method to obtain a closed form solution of the (1 + n)-dimensional Burgers’ equation. These methods consider the use of the initial or boundary conditions and find the solution without any discritization, transformation, or restrictive conditions and avoid the round-off errors. Four numerical examples are provided to validate the reliability and efficiency of the three methods.http://www.sciencedirect.com/science/article/pii/S2090447913001135(1 + n)-Dimensional Burger equationHomotopy perturbation methodAdomian decomposition methodDifferential transform method |
| spellingShingle | Vineet K. Srivastava Mukesh K. Awasthi (1 + n)-Dimensional Burgers’ equation and its analytical solution: A comparative study of HPM, ADM and DTM Ain Shams Engineering Journal (1 + n)-Dimensional Burger equation Homotopy perturbation method Adomian decomposition method Differential transform method |
| title | (1 + n)-Dimensional Burgers’ equation and its analytical solution: A comparative study of HPM, ADM and DTM |
| title_full | (1 + n)-Dimensional Burgers’ equation and its analytical solution: A comparative study of HPM, ADM and DTM |
| title_fullStr | (1 + n)-Dimensional Burgers’ equation and its analytical solution: A comparative study of HPM, ADM and DTM |
| title_full_unstemmed | (1 + n)-Dimensional Burgers’ equation and its analytical solution: A comparative study of HPM, ADM and DTM |
| title_short | (1 + n)-Dimensional Burgers’ equation and its analytical solution: A comparative study of HPM, ADM and DTM |
| title_sort | 1 n dimensional burgers equation and its analytical solution a comparative study of hpm adm and dtm |
| topic | (1 + n)-Dimensional Burger equation Homotopy perturbation method Adomian decomposition method Differential transform method |
| url | http://www.sciencedirect.com/science/article/pii/S2090447913001135 |
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