Lima, Pedro M.Ford, Neville J.Lumb, Patricia M.2014-07-072014-07-072014-06-26Applied Numerical Mathematics, 2014, 85, pp. 38–53.0168-92741016/j.apnum.2014.06.0046.004http://hdl.handle.net/10034/322541NOTICE: this is the author’s version of a work that was accepted for publication in Applied Numerical Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Applied Numerical Mathematics, 85, November 2014, pp. 38-53. DOI: 1016/j.apnum.2014.06.0046.004This 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 monotone solution of the equation defined in the whole real axis, which tends to given values at ±∞. We introduce new numerical methods for the solution of the equation, analyse their performance, and present and discuss the results of the numerical simulations.enmathematical modellingcomputational mathematicsArticle1873-5460Applied Numerical Mathematics