کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4640047 1341258 2010 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A second-order hybrid finite difference scheme for a system of singularly perturbed initial value problems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A second-order hybrid finite difference scheme for a system of singularly perturbed initial value problems
چکیده انگلیسی

A system of coupled singularly perturbed initial value problems with two small parameters is considered. The leading term of each equation is multiplied by a small positive parameter, but these parameters may have different magnitudes. The solution of the system has boundary layers that overlap and interact. The structure of these layers is analyzed, and this leads to the construction of a piecewise-uniform mesh that is a variant of the usual Shishkin mesh. On this mesh a hybrid finite difference scheme is proved to be almost second-order accurate, uniformly in both small parameters. Numerical results supporting the theory are presented.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 234, Issue 12, 15 October 2010, Pages 3445–3457
نویسندگان
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