Simulation of SPDE's for Excitable Media using Finite Elements

Boulakia Muriel; Genadot Alexandre; Thieullen Michèle

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arXiv · 1411.1564

Simulation of SPDE's for Excitable Media using Finite Elements

Boulakia Muriel·Genadot Alexandre·Thieullen Michèle

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Abstract

In this paper, we address the question of the discretization of Stochastic Partial Differential Equations (SPDE's) for excitable media. Working with SPDE's driven by colored noise, we consider a numerical scheme based on finite differences in time (Euler-Maruyama) and finite elements in space. Motivated by biological considerations, we study numerically the emergence of reentrant patterns in excitable systems such as the Barkley or Mitchell-Schaeffer models.

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Boulakia Muriel, Genadot Alexandre, Thieullen Michèle. 2014-11-06. Simulation of SPDE's for Excitable Media using Finite Elements. https://arxiv.org/abs/1411.1564

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