کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4636017 1340717 2007 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Numerical methods on Shishkin mesh for singularly perturbed delay differential equations with a grid adaptation strategy
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Numerical methods on Shishkin mesh for singularly perturbed delay differential equations with a grid adaptation strategy
چکیده انگلیسی

A numerical study is made for a class of boundary value problems of second-order differential equations in which the highest order derivative is multiplied by a small parameter ϵ and both the differentiated(convection) and undifferentiated(reaction) terms are with negative shift δ  . We analyze three difference operators Lkh, k = 1, 2, 3 a simple upwind scheme, midpoint upwind scheme and a hybrid scheme, respectively, on a Shishkin mesh to approximate the solution of the problem. Theoretical error bounds are established. The accuracy by one of the grid adaptation strategies, namely grid redistribution is examined by solving the considered problem using hybrid method for some values of ϵ and N. As a result the accuracy gets improved by this grid adaptation strategy with almost the same computational cost. A few numerical results exhibiting the performance of these three schemes are presented.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 188, Issue 2, 15 May 2007, Pages 1816–1831
نویسندگان
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