A Uniformly Convergent Collocation Method for Singularly Perturbed Delay Parabolic Reaction-Diffusion Problem

In this article, a numerical solution is proposed for singularly perturbed delay parabolic reaction-diffusion problem with mixed-type boundary conditions. The discretized by the implicit Euler method on uniform mesh in time and extended cubic B-spline collocation Shishkin space. parameter-uniform convergence of given, it shown to be ε -uniformly convergent id="M2"> O Δ t + N − 2 ln , where id="M3"> id="M4"> denote step size number intervals space, respectively. gives accurate results choosing suitable value free parameter id="M5"> λ . Some are carried out support theory.