| 广义神经传播方程一个新的超收敛估计及外推 |
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| 引用本文： | 吴志勤,王芬玲,石东洋.广义神经传播方程一个新的超收敛估计及外推[J].数学的实践与认识,2011,41(15). |
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| 作者姓名： | 吴志勤 王芬玲 石东洋 |
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| 作者单位： | 1. 许昌学院数学与统计学院,河南许昌,461000
2. 郑州大学数学系,河南郑州,450052 |
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| 基金项目： | 国家自然科学基金(10671184,10971203); 河南省教育厅(2010A110018) |
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| 摘 要： | 主要目的是研究双线性元对一类非线性广义神经传播方程的逼近.并利用积分恒等式及插值后处理技巧,导出H~1模及L~2模意义下的超逼近性和超收敛结果.同时,通过构造一个新的外推格式,得到了与线性问题精度完全相同的外推结果,进一步拓宽了双线性元的应用范围.
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| 关 键 词： | 广义神经传播方程 超收敛 双线性元 外推 |
A New Superconvergence Analysis and Extrapolation for Generalized Neure Conductive Equations |
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| WU Zhi-qin,Wang Fen-ling,Shi Dong-yang.A New Superconvergence Analysis and Extrapolation for Generalized Neure Conductive Equations[J].Mathematics in Practice and Theory,2011,41(15). |
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| Authors: | WU Zhi-qin Wang Fen-ling Shi Dong-yang |
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| Institution: | WU Zhi-qin~1,Wang Fen-ling~1,Shi Dong-yang~2 (1.School of Mathematics and Statistics,Xuchang University,Xuchang 461000,China) (2.Deparment of Mathematics,Zhengzhou University,Zhengzhou 450052,China) |
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| Abstract: | The main purpose of this paper is to study the bilinear element approximation for a class of nonlinear generalized neure conductive equations approximation.The superclose property and the superconvergence of H~1 and the L~2 norms are given by means of integral identities and the interpolation post-processing techniques.At the same time,extrapolating results with the same accuracy as the linear problem are obtained through a newly structured extrapolation form,and the applications of bilinear element are ext... |
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| Keywords: | superconvergence generalized neure conductive equations bilinear element extrapolation |
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