TY - JOUR
T1 - Enhancing Jerk Nonlinear Equation by Adomain Decomposition Method
AU - N. Akour , Abdulrahmn
AU - K. Jaradat , Emad
AU - Saqa-Allah , Hadeel
AU - K. Jaradat , Omar
JO - Journal of Nonlinear Modeling and Analysis
VL - 1
SP - 178
EP - 188
PY - 2025
DA - 2025/02
SN - 7
DO - http://doi.org/10.12150/jnma.2025.178
UR - https://global-sci.org/intro/article_detail/jnma/23838.html
KW - Adomian decomposition method, nonlinear Jerk equation, high
order differential equation.
AB - <p style="text-align: justify;">In this manuscript, an approximate periodic solution of a nonlinear
Jerk equation concerning the third order time derivative (ODE) is demonstrated. This method succeeds highly in constructing a periodic solution
for Jerk nonlinear differential equations. The results investigated from this
method are compared with those determined from other analytical and numerical methods. Our results demonstrate a significant consistency with the
numerical solution in addition to the analytical methods.</p>