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Optimal perturbation iteration method for solving fractional FitzHugh-Nagumo equation

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  • Deniz, Sinan

Abstract

In this study, a modified fractional form of FitzHugh-Nagumo equation is investigated via a newly developed semi-analytical method. The classical equation has been modified with a new fractional operator and the optimal perturbation iteration algorithms have been adapted accordingly for solving the fractional model. An illustration has been deeply analyzed for different values of physical parameters. Figures and tables are given to show the errors of different order approximations. Obtained results prove the accuracy and effectiveness of the proposed technique.

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  • Deniz, Sinan, 2021. "Optimal perturbation iteration method for solving fractional FitzHugh-Nagumo equation," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    • Handle: RePEc:eee:chsofr:v:142:y:2021:i:c:s0960077920308109
    DOI: 10.1016/j.chaos.2020.110417
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    Cited by:

    1. Liu, Tao, 2022. "Porosity reconstruction based on Biot elastic model of porous media by homotopy perturbation method," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).

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