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Volume 7, Issue 2
Application of Homotopy Perturbation Transform Method for Solving Linear and Nonlinear Klein-Gordon Equations

Jagdev Singh, Devendra Kumar and Sushila Rathore

J. Info. Comput. Sci. , 7 (2012), pp. 131-139.

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  • Abstract
In this paper, the homotopy perturbation transform method (HPTM) has been applied to obtain the solution of the linear and nonlinear Klein-Gordon equations. The homotopy perturbation transform method is a combined form of the Laplace transform method with the homotopy perturbation method. This scheme finds the solution without any discretization or restrictive assumptions and avoids the round-off errors. The fact that this technique solves nonlinear problems without using Adomian’s polynomials can be considered as a clear advantage of this technique over the decomposition method. The results reveal that the proposed algorithm is very efficient, simple and can be applied to other nonlinear problems. Mathematics Subject Classification: 35C05, 35C10.
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@Article{JICS-7-131, author = {Jagdev Singh, Devendra Kumar and Sushila Rathore}, title = {Application of Homotopy Perturbation Transform Method for Solving Linear and Nonlinear Klein-Gordon Equations}, journal = {Journal of Information and Computing Science}, year = {2024}, volume = {7}, number = {2}, pages = {131--139}, abstract = {In this paper, the homotopy perturbation transform method (HPTM) has been applied to obtain the solution of the linear and nonlinear Klein-Gordon equations. The homotopy perturbation transform method is a combined form of the Laplace transform method with the homotopy perturbation method. This scheme finds the solution without any discretization or restrictive assumptions and avoids the round-off errors. The fact that this technique solves nonlinear problems without using Adomian’s polynomials can be considered as a clear advantage of this technique over the decomposition method. The results reveal that the proposed algorithm is very efficient, simple and can be applied to other nonlinear problems. Mathematics Subject Classification: 35C05, 35C10. }, issn = {1746-7659}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22653.html} }
TY - JOUR T1 - Application of Homotopy Perturbation Transform Method for Solving Linear and Nonlinear Klein-Gordon Equations AU - Jagdev Singh, Devendra Kumar and Sushila Rathore JO - Journal of Information and Computing Science VL - 2 SP - 131 EP - 139 PY - 2024 DA - 2024/01 SN - 7 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22653.html KW - AB - In this paper, the homotopy perturbation transform method (HPTM) has been applied to obtain the solution of the linear and nonlinear Klein-Gordon equations. The homotopy perturbation transform method is a combined form of the Laplace transform method with the homotopy perturbation method. This scheme finds the solution without any discretization or restrictive assumptions and avoids the round-off errors. The fact that this technique solves nonlinear problems without using Adomian’s polynomials can be considered as a clear advantage of this technique over the decomposition method. The results reveal that the proposed algorithm is very efficient, simple and can be applied to other nonlinear problems. Mathematics Subject Classification: 35C05, 35C10.
Jagdev Singh, Devendra Kumar and Sushila Rathore. (2024). Application of Homotopy Perturbation Transform Method for Solving Linear and Nonlinear Klein-Gordon Equations. Journal of Information and Computing Science. 7 (2). 131-139. doi:
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