Approximate Solutions to System of Nonlinear Partial Differential Equations using Reduced Differential Transform Method
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@Article{JICS-11-251,
author = {Mohamed S. Mohamed, M. Sayed and TurkiaT . Al-Qarshi},
title = {Approximate Solutions to System of Nonlinear Partial Differential Equations using Reduced Differential Transform Method},
journal = {Journal of Information and Computing Science},
year = {2024},
volume = {11},
number = {4},
pages = {251--261},
abstract = {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.
},
issn = {1746-7659},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jics/22502.html}
}
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.
Mohamed S. Mohamed, M. Sayed and TurkiaT . Al-Qarshi. (2024). Approximate Solutions to System of Nonlinear Partial Differential Equations using Reduced Differential Transform Method.
Journal of Information and Computing Science. 11 (4).
251-261.
doi:
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