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Computational methods for a mathematical model of propagation of nerve impulses in myelinated axons
Lima, Pedro M. Ford, Neville J. Lumb, Patricia M.
Lima, Pedro M.
Ford, Neville J.
Lumb, Patricia M.
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Publication Date
2014-06-26
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Abstract
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 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.
Citation
Applied Numerical Mathematics, 2014, 85, pp. 38–53.
Publisher
Elsevier
Journal
Applied Numerical Mathematics
Research Unit
DOI
1016/j.apnum.2014.06.0046.004
PubMed ID
PubMed Central ID
Type
Article
Language
en
Description
NOTICE: 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.2014.06.0046.004
Series/Report no.
ISSN
0168-9274
EISSN
1873-5460