Robust numerical solutions of two singularly perturbed problems in mathematical biology

Authors

  • Shivaranjani Nagarajan Department of Mathematics Bishop Heber College,Tiruchirappalli
  • John J. H. Miller Institute for Numerical Computation and Analysis, Dublin, Ireland.
  • Valarmathi Sigamani Bishop Heber College, Tiruchirappalli-620017 Tamil Nadu, India

DOI:

https://doi.org/10.11145/j.bmc.2015.03.071

Abstract

In this paper, a numerical method is suggested for solving a mathematical modelВ for the process of cell proliferation and maturation and a model for determiningВ the expected time for the generation of action potentials in nerve cells by random synaptic inputs in the dendrites. Both these models give rise to singularlyВ perturbed delay dierential equations. The former is an initial value problemВ for a rst order singularly perturbed delay partial dierential equation, whileВ the latter is a boundary value problem for a second order singularly perturbedВ delay dierential equation. Numerical illustrations are provided.

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Published

2015-03-06

Issue

Vol. 1 No. 2 (2014)

Section

Articles

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