Numerical methods for nonlinear reaction-diffusion equations with traveling wave solutions

In this report, we first introduce operator splitting as a way to solve nonlinear reaction-diffusion PDEs. We then present a flux-limiting technique for anisotropic diffusion problems that allows to recover the discrete maximum principle. Finally, we implement a simple action potential model, which allows us to represent the evolution of the transmembrane potential of a stimulated cell, and investigate the effect of anisotropic diffusion on the positivity of this potential.


Advisor(s):
Lassila, Toni Mikael
Quarteroni, Alfio
Year:
2014
Keywords:
Note:
Semester project; Mathematics project III
Laboratories:


Note: The status of this file is: EPFL only


 Record created 2014-02-26, last modified 2018-09-13

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