Article ID Journal Published Year Pages File Type
4631250 Applied Mathematics and Computation 2010 5 Pages PDF
Abstract
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.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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