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Eighth Mississippi State - UAB Conference on Differential Equations & Computational Simulations
May 7-9, 2009
Department of Mathematics and Statistics, Mississippi State University
Mississippi State, MS, USA

Organizers
Mississippi State University & University of Alabama - Birmingham

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Comparison of time stepping schemes on the cable equation
by
Chuan Li
The University of Tennessee, Knoxville
Coauthors: Prof. Vasilios Alexiades Math Department The University of Tennessee, Knoxville

Electrical propagation in excitable tissue, such as nerve fibers and heart muscle, is described by a parabolic PDE for the transmembrane potential V(x, t), known as the cable equation. Its source term represents the total ionic current across the membrane, governed by the Hodgkin-Huxley or other more complicated ionic models. In this talk, we compare the performance of various high order time-stepping numerical schemes, including DuFort-Frankel and adaptive Runge-Kutta, on the cable equation.

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Date received: March 27, 2009

Copyright © 2009 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caxp-83.