Numerical Solution of a Forward-Backward Equation From Physiology

Authors

M. Filomena Teodoro, CEMAT, Instituto Superior T´ecnico, Lisbon University, Av. Rovisco Pais, 1, 1048-001 Lisboa, Portugal\\ CINAV, Portuguese Naval Academy, Base Naval de Lisboa, Alfeite, 1910-001 Almada, PortugalFollow

Author Country (or Countries)

Portugal

Abstract

The aim of this paper is to determine the numerical solution of an equation which models the nerve conduction in a myelinated axon. An appropriate stimulus begins a propagate action potential which travels down the axon. It can be understood as a traveling wave of voltage. It is proposed a computational approximation for the solution of a forward-backward differential equation that models nerve conduction. We look for a solution of an equation defined in R, which tends to known values at ±¥. Extending the approach introduced in [13, 29, 14] for linear case, a numerical method for the solution of problem, adapted to non linear case, is described. Numerical results using a test problem and a continuation method are computed and analyzed.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110506

Recommended Citation

Filomena Teodoro, M. (2017) "Numerical Solution of a Forward-Backward Equation From Physiology," Applied Mathematics & Information Sciences: Vol. 11: Iss. 5, Article 6.
DOI: http://dx.doi.org/10.18576/amis/110506
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss5/6