Acta Scientific Computer Sciences

Review Article Volume 6 Issue 3

Exact solution of Klein-Gordon Equations Using Homotopy Perturbation Method and the Variational Iteration Method

Mohamed S Algolam*, Hasan Nihal Zaidi and Athar I Ahmed

Department of Mathematic, College of science, University of Hail, Hail, Saudi Arabia

*Corresponding Author: Mohamed S Algolam, Department of Mathematic, College of science, University of Hail, Hail, Saudi Arabia.

Received: February 16, 2024; Published: February 24, 2024

Abstract

This article investigates the Klein-Gordon equations (KGEs) and utilizes both the coupling the variational iteration method (VIM) and homotopy perturbation method (HPM) to derive precise solutions. Theoretical insights are integrated with these analytical approaches, providing a deeper comprehension of the underlying mathematical principles. Numerous illustrative examples are showcased to underscore the methods' efficacy and dependability. The obtained outcome highlights the simplicity and efficiency of the proposed techniques in solving KGEs. Through this analysis, the paper contributes valuable insights into the application of coupling HPM and VIM in addressing the complexities of KGEs, underscoring their potential for tackling challenges in diverse scientific domains.

Keywords: Klein – Gordon; VIM; HPM

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Citation

Citation: Mohamed S Algolam., et al. “Exact solution of Klein-Gordon Equations Using Homotopy Perturbation Method and the Variational Iteration Method".Acta Scientific Computer Sciences 6.3 (2024): 28-34.

Copyright

Copyright: © 2024 Mohamed S Algolam., et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.




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