@Article{IJNAM-8-3,
author = {M., Hanslien and R., Artebrant and Tveito, A. and T., Lines, G. and X., Cai},
title = {Stability of Two-Integrators for the Aliev-Panfilov System},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2011},
volume = {8},
number = {3},
pages = {427--442},
abstract = {<p style="text-align: justify;">We propose a second-order accurate method for computing the
solutions to the Aliev-Panfilov model of cardiac excitation. This two-variable
reaction-diffusion system is due to its simplicity a popular choice for modeling
important problems in electrocardiology; e.g. cardiac arrhythmias. The
solutions might be very complicated in structure, and hence highly resolved
numerical simulations are called for to capture the fine details. Usually the forward
Euler time-integrator is applied in these computations; it is very simple
to implement and can be effective for coarse grids. For fine-scale simulations,
however, the forward Euler method suffers from a severe time-step restriction,
rendering it less efficient for simulations where high resolution and accuracy
are important.<br/>We analyze the stability of the proposed second-order method and the forward
Euler scheme when applied to the Aliev-Panfilov model. Compared to the Euler
method the suggested scheme has a much weaker time-step restriction, and
promises to be more efficient for computations on finer meshes.</p>},
issn = {2617-8710},
doi = {https://doi.org/2011-IJNAM-694},
url = {https://global-sci.com/article/83563/stability-of-two-integrators-for-the-aliev-panfilov-system}
}