TY - JOUR
T1 - An Analytical Technique on Numerical Solutions for EFKs of Fourth Order and Higher
AU - Othman , Sumayah Ghaleb
AU - Hasan , Yahya Qaid
JO - Journal of Nonlinear Modeling and Analysis
VL - 5
SP - 1925
EP - 1939
PY - 2025
DA - 2025/09
SN - 7
DO - http://doi.org/10.12150/jnma.2025.1925
UR - https://global-sci.org/intro/article_detail/jnma/24398.html
KW - Extended Fisher-Kolmogorov (EFK) equation, Adomian mechanism, initial conditions, higher order.
AB - <p style="text-align: justify;">This study introduces an advanced analytical technique for solving the fourth-order Extended Fisher-Kolmogorov (EFK) equation, focusing
on the application of Adomian decomposition methods (ADM) and modified
Adomian decomposition methods (MADM) . The research outlines a systematic approach to deriving numerical solutions, facilitating the characterization
and understanding of complex dynamics associated with the EFK equation.
Additionally, the technique is generalized to higher-order extensions, enhancing its applicability in modeling various physical phenomena. The results illustrate the effectiveness of the proposed methods in achieving accurate solutions
while addressing challenges inherent in higher-order differential equations.</p>