A New Strategy for the Approximate Solution of Hyperbolic Telegraph Equations in Nonlinear Vibration System
This study examines a new approach for the approximate solution of hyperbolic telegraph equations emerging in magnetic fields and electrical impulse transmissions. We introduce a Laplace-Carson transform coupled with the homotopy perturbation method which is called the Laplace-Carson homotopy pertur...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/8304107 |
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| _version_ | 1849305062975733760 |
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| author | Jiao Zeng Asma Idrees Mohammed S. Abdo |
| author_facet | Jiao Zeng Asma Idrees Mohammed S. Abdo |
| author_sort | Jiao Zeng |
| collection | DOAJ |
| description | This study examines a new approach for the approximate solution of hyperbolic telegraph equations emerging in magnetic fields and electrical impulse transmissions. We introduce a Laplace-Carson transform coupled with the homotopy perturbation method which is called the Laplace-Carson homotopy perturbation method (Lc-HPM). The most significant feature of this approach is that we do not require any restriction of variables and hypotheses to find the results of nonlinear problems. Further, HPM using He’s is applied to reduce the number of computations in nonlinear terms. We demonstrate some graphical results to show that Lc-HPM is a simple and suitable approach for linear and nonlinear problems. |
| format | Article |
| id | doaj-art-08be2fd0a5ce41b39e58920014e18193 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-08be2fd0a5ce41b39e58920014e181932025-08-20T03:55:33ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/8304107A New Strategy for the Approximate Solution of Hyperbolic Telegraph Equations in Nonlinear Vibration SystemJiao Zeng0Asma Idrees1Mohammed S. Abdo2Faculty of ScienceDepartment of MathematicsDepartment of MathematicsThis study examines a new approach for the approximate solution of hyperbolic telegraph equations emerging in magnetic fields and electrical impulse transmissions. We introduce a Laplace-Carson transform coupled with the homotopy perturbation method which is called the Laplace-Carson homotopy perturbation method (Lc-HPM). The most significant feature of this approach is that we do not require any restriction of variables and hypotheses to find the results of nonlinear problems. Further, HPM using He’s is applied to reduce the number of computations in nonlinear terms. We demonstrate some graphical results to show that Lc-HPM is a simple and suitable approach for linear and nonlinear problems.http://dx.doi.org/10.1155/2022/8304107 |
| spellingShingle | Jiao Zeng Asma Idrees Mohammed S. Abdo A New Strategy for the Approximate Solution of Hyperbolic Telegraph Equations in Nonlinear Vibration System Journal of Function Spaces |
| title | A New Strategy for the Approximate Solution of Hyperbolic Telegraph Equations in Nonlinear Vibration System |
| title_full | A New Strategy for the Approximate Solution of Hyperbolic Telegraph Equations in Nonlinear Vibration System |
| title_fullStr | A New Strategy for the Approximate Solution of Hyperbolic Telegraph Equations in Nonlinear Vibration System |
| title_full_unstemmed | A New Strategy for the Approximate Solution of Hyperbolic Telegraph Equations in Nonlinear Vibration System |
| title_short | A New Strategy for the Approximate Solution of Hyperbolic Telegraph Equations in Nonlinear Vibration System |
| title_sort | new strategy for the approximate solution of hyperbolic telegraph equations in nonlinear vibration system |
| url | http://dx.doi.org/10.1155/2022/8304107 |
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