Differential and Difference Equations with Applications, Springer Proceedings in Mathematics & Statistics, Springer, New York, 47 (2013), 475-483 http://dx.doi.org/10.1007/978-1-4614-7333-6_42

This paper is concerned with the approximate solution of a nonlinear mixed-type functional differential equation (MTFDE) arising from nerve conduction theory. The equation considered describes conduction in a myelinated nerve axon. We search for a solution defined on the whole real axis, which tends to given values at ±?.The numerical algorithms, developed previously by the authors for linear problems, were upgraded to deal with the case of nonlinear problems on unbounded domains. Numerical results are presented and discussed.

CEMAT - Center for Computational and Stochastic Mathematics