full
search.png

Search

close.png

Cancel

Volume 7, Issue 5
An Analytical Technique on Numerical Solutions for EFKs of Fourth Order and Higher

Sumayah Ghaleb Othman & Yahya Qaid Hasan

DOI: 10.12150/jnma.2025.1925

J. Nonl. Mod. Anal., 7 (2025), pp. 1925-1939.

Published online: 2025-09

[An open-access article; the PDF is free to any online user.]

Preview Full PDF 75 815

Cited by

google scholar semantic scholar
Export citation
  • 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.

  • Keywords

Extended Fisher-Kolmogorov (EFK) equation, Adomian mechanism, initial conditions, higher order.

  • AMS Subject Headings

34Nxx, 34N05

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@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} }
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 -

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.

Othman , Sumayah Ghaleb and Hasan , Yahya Qaid. (2025). An Analytical Technique on Numerical Solutions for EFKs of Fourth Order and Higher. Journal of Nonlinear Modeling and Analysis. 7 (5). 1925-1939. doi:10.12150/jnma.2025.1925
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard