Efficient numerical method for the Fitzhugh-Nagumo equations with Neumann boundary conditions
DOI: 10.54647/physics140526 87 Downloads 3617 Views
Author(s)
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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