کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4631250 1340619 2010 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Superconvergence of a discontinuous finite element method for a nonlinear ordinary differential equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Superconvergence of a discontinuous finite element method for a nonlinear ordinary differential equation
چکیده انگلیسی
In this paper, n-degree discontinuous finite element method with interpolated coefficients for an initial value problem of nonlinear ordinary differential equation is introduced and analyzed. By using the finite element projection for an auxiliary linear problem as comparison function, an optimal superconvergence u-U=O(hn+2),n⩾2, at (n + 1)-order characteristic points in each element respectively is proved. Finally the theoretic results are tested by a numerical example.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 217, Issue 7, 1 December 2010, Pages 3511-3515
نویسندگان
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