کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8900882 1631723 2018 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Richardson extrapolation technique for singularly perturbed system of parabolic partial differential equations with exponential boundary layers
ترجمه فارسی عنوان
تکنیک استخراج ریچاردسون برای سیستم منحصرا تحرک معادلات دیفرانسیل جزئی با پارابولیک با لایه های مرزی نمایشی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی
In this article, we propose a higher-order uniformly convergent numerical scheme for singularly perturbed system of parabolic convection-diffusion problems exhibiting overlapping exponential boundary layers. It is well-known that the the numerical scheme consists of the backward-Euler method for the time derivative on uniform mesh and the classical upwind scheme for the spatial derivatives on a piecewise-uniform Shishkin mesh converges uniformly with almost first-order in both space ant time. Richardson extrapolation technique improves the accuracy of the above mentioned scheme from first-order to second-order uniformly convergent in both time and space. This has been proved mathematically in this article. In order to validate the theoretical results, we carried out some numerical experiments.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 333, 15 September 2018, Pages 254-275
نویسندگان
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