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| An Analytical Technique on Numerical Solutions for EFKs of Fourth Order and Higher |
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| KeyWord:Extended Fisher-Kolmogorov (EFK) equation, Adomian mechanism, initial conditions, higher order |
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| 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. |
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