Numerical Solution of a Delay-Advanced Differential Equation from Physiology

Applied Mathematics & Information Sciences, 11(5) (2017), 1287-1297


The aim of this paper is the numerical computation 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 [9, 10, 15] for linear case, a numerical method for the solution of problem, adapted to non linear case, is described. Numerical results are computed and analysed. This article is the extended version of [16].