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.