Efficient numerical method for the Fitzhugh-Nagumo equations with Neumann boundary conditions

Volume 8, Issue 2, April 2023     |     PP. 41-53      |     PDF (395 K)    |     Pub. Date: February 26, 2023
DOI: 10.54647/physics140526    90 Downloads     4916 Views  

Author(s)

Hao Zhou, School of Digital Engineering, Zhejiang Dongfang Polytechnic,Wenzhou 323000, P. R. China
Xiang Liu, School of Digital Engineering, Zhejiang Dongfang Polytechnic,Wenzhou 323000, P. R. China
Weiguo Zhang, School of Digital Engineering, Zhejiang Dongfang Polytechnic,Wenzhou 323000, P. R. China
Yiwen Liao, School of Digital Engineering, Zhejiang Dongfang Polytechnic,Wenzhou 323000, P. R. China

Abstract
The objective of this work is to construct a new efficient numerical scheme to solve the Fitzhugh-Nagumo model. For the space discretization, Chebyshev spectral method proposed on Legendre orthogonal approximations on Gauss- Chebyshev- Lobatto points. A high-order Runge-Kutta algorithm was used in the time direction. The full-discrete scheme was expressed explicitly and was easy to be implemented with the Neumann boundary conditions. Numerical experiments are discussed to validate the accuracy and reliability of the proposed method.

Keywords
Chebyshev spectral method; FitzHugh-Nagumo equation; Neumann boundary condition

Cite this paper
Hao Zhou, Xiang Liu, Weiguo Zhang, Yiwen Liao, Efficient numerical method for the Fitzhugh-Nagumo equations with Neumann boundary conditions , SCIREA Journal of Physics. Volume 8, Issue 2, April 2023 | PP. 41-53. 10.54647/physics140526

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