| Superconvergence of Continuous Finite Elements with Interpolated Coeffcients for Initial Value Problems of Nonlinear Ordinary Differential Equation |
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| 作者姓名： | Zhiguang Xiong and Chuanmiao Chen School of Mathematics and Computational Science Hunan University of Science and Technology Xiangtan China. Institute of Computation Hunan Normal University Changsha China. |
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| 作者单位： | Zhiguang Xiong1，2，and Chuanmiao Chen2 1 School of Mathematics and Computational Science，Hunan University of Science and Technology，Xiangtan 411201，China. 2 Institute of Computation，Hunan Normal University，Changsha 410081，China. |
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| 基金项目： | The work was supported in part by the Special Funds of State Major Basic Research Projects (Grant No.1999032804)，by scientific Research Fund of Hunan Provincial Education Department (03C508). |
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| 摘 要： | In this paper, n-degree continuous finite element method with interpolated coefficients for nonlinear initial value problem of ordinary differential equation is introduced and analyzed. An optimal superconvergence u-uh = O(hn+2), n ≥ 2, at (n + 1)-order Lobatto points in each element respectively is proved. Finally the theoretical results are tested by a numerical example.
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Superconvergence of Continuous Finite Elements with Interpolated Coeffcients for Initial Value Problems of Nonlinear Ordinary Differential Equation |
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| Zhiguang Xiong,,and Chuanmiao Chen School of Mathematics and Computational Science,Hunan University of Science and Technology,Xiangtan ,China. Institute of Computation,Hunan Normal University,Changsha ,China..Superconvergence of Continuous Finite Elements with Interpolated Coeffcients for Initial Value Problems of Nonlinear Ordinary Differential Equation[J].Numerical Mathematics A Journal of Chinese Universities English Series,2007(1). |
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| Authors: | Zhiguang Xiong and Chuanmiao Chen School of Mathematics and Computational Science Hunan University of Science and Technology Xiangtan China |
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| Institution: | Zhiguang Xiong1,2,and Chuanmiao Chen2 1 School of Mathematics and Computational Science,Hunan University of Science and Technology,Xiangtan 411201,China. 2 Institute of Computation,Hunan Normal University,Changsha 410081,China. |
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| Abstract: | |
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| Keywords: | Nonlinear ordinary differential equation continuous finite element with interpolated coefficients Lobatto points superconvergence |
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