@Article{JNMA-7-1925, author = {Othman , Sumayah Ghaleb and Hasan , Yahya Qaid}, title = {An Analytical Technique on Numerical Solutions for EFKs of Fourth Order and Higher}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2025}, volume = {7}, number = {5}, pages = {1925--1939}, abstract = {
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.
}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2025.1925}, url = {http://global-sci.org/intro/article_detail/jnma/24398.html} }