Mathematical Modelling and Analysis (Oct 2018)
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.
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