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

Nonlinear dynamics, 2018, Vol.91 (1), p.307-317 [Peer Reviewed Journal]

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Title:
A new numerical algorithm for fractional Fitzhugh–Nagumo equation arising in transmission of nerve impulses
Author: Kumar, Devendra ; Singh, Jagdev ; Baleanu, Dumitru
Subjects: Algorithms ; Automotive Engineering ; Classical Mechanics ; Control ; Differential equations ; Differential thermal analysis ; Dynamical Systems ; Engineering ; Error analysis ; Impulses ; Laplace transforms ; Mechanical Engineering ; Numerical analysis ; Original Paper ; Polynomials ; Thermal analysis ; Vibration
Is Part Of: Nonlinear dynamics, 2018, Vol.91 (1), p.307-317
Description: 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.
Publisher: Dordrecht: Springer Netherlands
Language: English
Identifier: ISSN: 0924-090X
EISSN: 1573-269X
DOI: 10.1007/s11071-017-3870-x
Source: ProQuest Central

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