A Comparative Analysis between Adomian Decomposition Method and Differential Transformation Method for Solving Some Second-Order Ordinary Differential Equations

Entesar Ali AL-Huwaisek; Nuha Mohammed Dabwan; Yahya Qaid Hasan

News & Announcements

IMPORTANT NEWS

Links

JNMA
JAAC

A Comparative Analysis between Adomian Decomposition Method and Differential Transformation Method for Solving Some Second-Order Ordinary Differential Equations

View Full Text View/Add Comment Download reader

KeyWord:Differential transformation method, Adomian decomposition method, second-ordered ordinary differential equations

Author Name	Affiliation
Entesar Ali AL-Huwaisek	Department of Mathematics, University of Saba Region, Yemen
Nuha Mohammed Dabwan	Department of Mathematics, University of Aden, Yemen Department of Mathematics, University of Taiz, Yemen
Yahya Qaid Hasan	Department of Mathematics, University of Saba Region, Yemen

Hits: 473

Download times: 464

Abstract:

The differential transformation method (DTM) and Adomian decomposition method (ADM) are two numerical methods that can be used to solve various differential equations. In this work, we compare the accuracy, convergence, and computational complexity of these two methods by using them to solve second-order nonlinear equations using a new differential operator for the second-order equation. We also used both methods to solve second-order nonlinear differential equations.