Comparative study of some numerical methods for FitzHugh-Nagumo equation

Appadu, Appanah Rao; Agbavon, Koffi Messan

doi:10.1063/1.5114020

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2020

2023

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Cited by 5 publications

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“…Tables and figures are presented in sections 14 and 15 respectively. A short version of this work has been published in [18].…”

Section: Organisation Of the Papermentioning

confidence: 99%

Construction and analysis of some nonstandard finite difference methods for the FitzHugh–Nagumo equation

Agbavon

Appadu

2020

Numerical Methods Partial

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In this work, we construct four versions of nonstandard finite difference schemes in order to solve the FitzHugh–Nagumo equation with specified initial and boundary conditions under three different regimes giving rise to three cases. The properties of the methods such as positivity and boundedness are studied. The numerical experiment chosen is quite challenging due to shock‐like profiles. The performance of the four methods is compared by computing L1, L∞ errors, rate of convergence with respect to time and central processing unit time at given time, T = 0.5. Error estimates have also been studied for the most efficient scheme.

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“…Tables and figures are presented in sections 14 and 15 respectively. A short version of this work has been published in [18].…”

Section: Organisation Of the Papermentioning

confidence: 99%