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Analysis of stochastic fitzhugh–nagumo equation for wave propagation in a neuron arising in certain neurobiology models

Publication Type : Journal Article

Source : International Journal of Biomathematics, 15(05), 2250027, 2022

Url : https://www.worldscientific.com/doi/10.1142/S1793524522500279

Campus : Amritapuri

School : School of Computing

Year : 2022

Abstract : In this paper, the numerical solution of stochastic FitzHugh–Nagumo equation (SFNE) has been obtained by Chebyshev spectral collocation. Semi-implicit Euler–Maruyama scheme has been used for temporal variable to discretize the stochastic FitzHugh–Nagumo equation. A detailed stability analysis for stochastic FitzHugh–Nagumo equation has also been discussed. Graphical representations of obtained results of the stochastic FitzHugh–Nagumo equation have been discussed to provide a clear idea about the behavior of the solutions.

Cite this Research Publication : S. Singh, S. Saha Ray "Analysis of stochastic fitzhugh–nagumo equation for wave propagation in a neuron arising in certain neurobiology models", International Journal of Biomathematics, 15(05), 2250027, 2022

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