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)
Filomena Teodoro, M.
"Numerical Solution of a Forward-Backward Equation From Physiology,"
Applied Mathematics & Information Sciences: Vol. 11
, Article 6.
Available at: https://dc.naturalspublishing.com/amis/vol11/iss5/6