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Numerical solution of a boundary value problem including both delay and boundary layer

Abstract

Difference method on a piecewise uniform mesh of Shishkin type, for a singularly perturbed boundary-value problem for a nonlinear second order delay differential equation is analyzed. Also, the method is proved that it gives essentially first order parameter-uniform convergence in the discrete maximum norm. Furthermore, numerical results are presented in support of the theory.

Keyword : singular perturbation, boundary-value problem, finite difference method, delay differential equation, Shishkin mesh

How to Cite
Cimen, E. (2018). Numerical solution of a boundary value problem including both delay and boundary layer. Mathematical Modelling and Analysis, 23(4), 568-581. https://doi.org/10.3846/mma.2018.034
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Oct 9, 2018
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