Numerical scheme and stability analysis of stochastic Fitzhugh-Nagumo model
[ X ]
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This article deals with the Fitzhugh-Nagumo equation in the presence of stochastic function. A numerical scheme has been developed for the solution of such equations which preserves the certain structure of the unknown functions, also we have given the stability analysis, consistency of the problem, and explicitly optimal a priori estimates for the existence of solutions of such equations. A unique solution has been guaranteed. The corresponding explicit estimates in the function spaces are formulated in the form of theorems. Lastly, one important feature of the article is the simulation of the proposed numerical scheme in the form of the 2D and 3D plots which shows the efficacy of the stochastic analysis of such nonlinear partial differential equations.
Açıklama
Anahtar Kelimeler
Stochastic Fitzhugh-Nagumo equation, Existence, Numerical scheme, Stability, And consistency
Kaynak
Results in Physics
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
32
