Simulation of SPDE's for Excitable Media using Finite Elements
Probability
2014-11-07 v1
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.
Keywords
Cite
@article{arxiv.1411.1564,
title = {Simulation of SPDE's for Excitable Media using Finite Elements},
author = {Boulakia Muriel and Genadot Alexandre and Thieullen Michèle},
journal= {arXiv preprint arXiv:1411.1564},
year = {2014}
}
Comments
24 pages