TY - JOUR
T1 - Homotopy perturbation transform method for solving nonlinear wave-like equations of variable coefficients
AU - V.G.Gupta Sumit Gupta
JO - Journal of Information and Computing Science
VL - 3
SP - 163
EP - 172
PY - 2024
DA - 2024/01
SN - 8
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22609.html
KW -  Homotopy  perturbation  method,  Laplace  transform  method,  nonlinear  wave-like  equations, 
He's polynomials. 

AB - In this paper, we apply homotopy perturbation transform method (HPTM) for solving nonlinear 
wave-like equations of variable coefficients. This method is the coupling of homotopy perturbation method 
and Laplace transform method. The nonlinear terms can be easily obtained by the use of He's polynomials. 
HPTM present an accurate methodology to solve many types of linear and nonlinear differential equations. 
The  approximate  solutions  obtained  by  means  of  HPTM  in  a  wide  range  of  the  problem's  domain  were 
compared with those results obtained from the actual solutions, the Variational iteration method (VIM) and 
the  Adomain  decomposition  method  (ADM).  The  fact  that  proposed  technique  solves  nonlinear  problems 
without  using  Adomain's  polynomials  can  be  considered  as  a  clear  advantage  of  this  algorithm  over  the 
decomposition method. The comparison shows a precise agreement between the results.