학술논문
MODIFIED DIFFERENTIAL TRANSFORMATION METHOD FOR SOLVING CLASSES OF NON-LINEAR DIFFERENTIAL EQUATIONS
Document Type
Academic Journal
Author
Source
Journal of Applied and Engineering Mathematics. January 2022, Vol. 12 Issue 1, p107, 13 p.
Subject
Language
English
ISSN
2146-1147
Abstract
In this research article, a numerical scheme namely modified differential transformation method (MDTM) is employed successfully to obtain accurate approximate solutions for classes of nonlinear differential equations. This scheme based on differential transform method (DTM), Laplace transform and Pade approximants. Validity and efficiency of MDTM are tested upon several examples and comparisons.are made to demonstrate that. The results lead to conclude that the MDTM is effective, explicit and easy to use. Keywords: Boundary value problems, Differential transform method, Laplace transform, Pade approximants. AMS Subject Classification: 41A21, 34B60
1. Introduction Nonlinear differential equations play an important role in many of fields of applied science and engineering due to it's wide applications in mechanical systems, fluid dynamics and simulation [...]
1. Introduction Nonlinear differential equations play an important role in many of fields of applied science and engineering due to it's wide applications in mechanical systems, fluid dynamics and simulation [...]