A new numerical algorithm for fractional Fitzhugh-Nagumo equation arising in transmission of nerve impulses

作者：Kumar Devendra^*; Singh Jagdev; Baleanu Dumitru

来源：Nonlinear Dynamics, 2018, 91(1): 307-317.

DOI：10.1007/s11071-017-3870-x

• Fractional Fitzhugh-Nagumo equation
• Transmission of nerve impulses
• q-Homotopy analysis transform method
• Homotopy polynomials
• Fractional reduced differential transform scheme

The principal objective of this study is to present a new numerical scheme based on a combination of q-homotopy analysis approach and Laplace transform approach to examine the Fitzhugh-Nagumo (F-N) equation of fractional order. The F-N equation describes the transmission of nerve impulses. In order to handle the nonlinear terms, the homotopy polynomials are employed. To validate the results derived by employing the used scheme, we study the F-N equation of arbitrary order by using the fractional reduced differential transform scheme. The error analysis of the proposed approach is also discussed. The outcomes are shown through the graphs and tables that elucidate that the used schemes are very fantastic and accurate.

• 出版日期2018-1