TY - JOUR
T1 - Approximate Solutions to System of Nonlinear Partial Differential Equations using Reduced Differential Transform Method
AU - Mohamed S. Mohamed, M. Sayed and TurkiaT . Al-Qarshi
JO - Journal of Information and Computing Science
VL - 4
SP - 251
EP - 261
PY - 2024
DA - 2024/01
SN - 11
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22502.html
KW -  reduced  differential  transforms  method,  nonlinear  partial  differential  equations,  analytic  and 
approximate solutions. 

AB - The main objective of this paper is to use the reduced differential transform method (RDTM) for 
finding  the  analytical  approximate  solutions  for  solving  systems  of  nonlinear  partial  differential  equations 
(NPDEs). The approximate solutions obtained by RDTM is verified by comparison with the exact solutions 
to  show  that  the  RDTM  is  quite  accurate,  reliable  and  can  be  applied  for  many  other  nonlinear  partial 
differential  equations.  The  method  considers  the  use  of  the  appropriate  initial  or  boundary  conditions  and 
finds  the  solution  without  any  discretization,  transformation,  or  restrictive  assumptions.  This  method  is  a 
simple  and  efficient  method  for  solving  the  nonlinear  partial  differential  equations.  The  numerical  results 
show  that  this  method  is  a  powerful  tool  for  solving  systems  of  NPDEs.  The  analysis  shows  that  our 
analytical approximate solutions converge very rapidly to the exact solutions.