TY - JOUR
T1 - A Comparative Analysis Between Adomian Decomposition Method and Differential Transformation Method for Solving Some Second-Order Ordinary Differential Equations
AU - AL-Huwaisek , Entesar Ali
AU - Dabwan , Nuha Mohammed
AU - Hasan , Yahya Qaid
JO - Journal of Nonlinear Modeling and Analysis
VL - 4
SP - 1353
EP - 1368
PY - 2025
DA - 2025/07
SN - 7
DO - http://doi.org/10.12150/jnma.2025.1353
UR - https://global-sci.org/intro/article_detail/jnma/24240.html
KW - Differential transformation method, Adomian decomposition method, second-order ordinary differential equations.
AB - <p style="text-align: justify;">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.</p>