New Optimum solutions of The Time-Fractional Fitzhugh-Nagumo Equations

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DOI: https://doi.org/10.28924/2291-8639-23-2025-158
Published: Jun 26, 2025
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T. Alzkari, Adil Khan, Mehreen Fiza, Hakeem Ullah, Aasim Ullah Jan, Ali Akgül, A.S. Hendy, Ilyas Khan, A. B. Albidah, Wei Sin Koh, New Optimum solutions of The Time-Fractional Fitzhugh-Nagumo Equations, Int. J. Anal. Appl., 23 (2025), 158.

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T. Alzkari, Adil Khan, Mehreen Fiza, Hakeem Ullah, Aasim Ullah Jan, Ali Akgül, A.S. Hendy, Ilyas Khan, A. B. Albidah, Wei Sin Koh

Abstract

The purpose and objective of the present work are to show the reliability and effectiveness of the newly developed semi-numerical method, i-e, the Optimal Auxiliary Function method OAFM, by solving the fractional problems of Fitzhugh-Nagumo. We have developed OAFM mathematical formulations for nonlinear partial differential equations PDEs. The implementation of the OAFM achieves a fast serial convergence solution. The analysis shows that the proposed method has a simplified implementation and needless computational work, is extremely accurate, and converges rapidly. Tables were constructed to compare the numerical results with the problems' exact solutions to see the errors.

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