Construction and analysis of some nonstandard finite difference methods for the FitzHugh–Nagumo equation
Construction and analysis of some nonstandard finite difference methods for the FitzHugh–Nagumo equation
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DOI：
10.1002/num.22468
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发表时间：
2020-04
影响因子：
3.9
通讯作者：
K. M. Agbavon;A. Appadu
中科院分区：
文献类型：
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作者：
K. M. Agbavon;A. Appadu
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.
