The Telegraph Equation and Its Solution by Reduced Differential Transform Method
One-dimensional second-order hyperbolic telegraph equation was formulated using Ohm’s law and solved by a recent and reliable semianalytic method, namely, the reduced differential transform method (RDTM). Using this method, it is possible to find the exact solution or a closed approximate solution o...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Modelling and Simulation in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2013/746351 |
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| author | Vineet K. Srivastava Mukesh K. Awasthi R. K. Chaurasia M. Tamsir |
| author_facet | Vineet K. Srivastava Mukesh K. Awasthi R. K. Chaurasia M. Tamsir |
| author_sort | Vineet K. Srivastava |
| collection | DOAJ |
| description | One-dimensional second-order hyperbolic telegraph equation was formulated using Ohm’s law and solved by a recent and reliable semianalytic method, namely, the reduced differential transform method (RDTM). Using this method, it is possible to find the exact solution or a closed approximate solution of a differential equation. Three numerical examples have been carried out in order to check the effectiveness, the accuracy, and convergence of the method. The RDTM is a powerful mathematical technique for solving wide range of problems arising in science and engineering fields. |
| format | Article |
| id | doaj-art-7c48435b860640e78b97f8b4112d7975 |
| institution | Kabale University |
| issn | 1687-5591 1687-5605 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Modelling and Simulation in Engineering |
| spelling | doaj-art-7c48435b860640e78b97f8b4112d79752025-02-03T06:48:37ZengWileyModelling and Simulation in Engineering1687-55911687-56052013-01-01201310.1155/2013/746351746351The Telegraph Equation and Its Solution by Reduced Differential Transform MethodVineet K. Srivastava0Mukesh K. Awasthi1R. K. Chaurasia2M. Tamsir3ISRO Telemetry, Tracking and Command Network (ISTRAC), Bangalore 560058, IndiaDepartment of Mathematics, University of Petroleum and Energy Studies, Dehradun 248007, IndiaThe ICFAI University, Jaipur 302031, IndiaDepartment of Mathematics, Graphic Era University, Dehradun 248002, IndiaOne-dimensional second-order hyperbolic telegraph equation was formulated using Ohm’s law and solved by a recent and reliable semianalytic method, namely, the reduced differential transform method (RDTM). Using this method, it is possible to find the exact solution or a closed approximate solution of a differential equation. Three numerical examples have been carried out in order to check the effectiveness, the accuracy, and convergence of the method. The RDTM is a powerful mathematical technique for solving wide range of problems arising in science and engineering fields.http://dx.doi.org/10.1155/2013/746351 |
| spellingShingle | Vineet K. Srivastava Mukesh K. Awasthi R. K. Chaurasia M. Tamsir The Telegraph Equation and Its Solution by Reduced Differential Transform Method Modelling and Simulation in Engineering |
| title | The Telegraph Equation and Its Solution by Reduced Differential Transform Method |
| title_full | The Telegraph Equation and Its Solution by Reduced Differential Transform Method |
| title_fullStr | The Telegraph Equation and Its Solution by Reduced Differential Transform Method |
| title_full_unstemmed | The Telegraph Equation and Its Solution by Reduced Differential Transform Method |
| title_short | The Telegraph Equation and Its Solution by Reduced Differential Transform Method |
| title_sort | telegraph equation and its solution by reduced differential transform method |
| url | http://dx.doi.org/10.1155/2013/746351 |
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