کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4634216 | 1340688 | 2008 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Comparative study of singularly perturbed two-point BVPs via: Fitted-mesh finite difference method, B-spline collocation method and finite element method
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The objective of this paper is to present a comparative study of fitted-mesh finite difference method, B-spline collocation method and finite element method for general singularly perturbed two-point boundary value problems. Due to the small parameter ϵϵ, the boundary layer arises. We have taken a piecewise-uniform fitted-mesh to resolve the boundary layer and we have shown that fitted-mesh finite difference method has ϵϵ-uniform first order convergence, B-spline collocation method has almost second order ϵϵ-uniform convergence and Ritz–Galerkin method also has almost second order ϵϵ-uniform convergence. Two test examples have been solved to compare the maximum absolute error and rate of convergence of the methods.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 204, Issue 2, 15 October 2008, Pages 713–725
Journal: Applied Mathematics and Computation - Volume 204, Issue 2, 15 October 2008, Pages 713–725
نویسندگان
M.K. Kadalbajoo, Arjun Singh Yadaw, Devendra Kumar,