A Uniformly Convergent Collocation Method for Singularly Perturbed Delay Parabolic Reaction-Diffusion Problem
نویسندگان
چکیده
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.
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ژورنال
عنوان ژورنال: Abstract and Applied Analysis
سال: 2021
ISSN: ['1687-0409', '1085-3375']
DOI: https://doi.org/10.1155/2021/8835595