| 带弱奇异核非线性积分微分方程的收敛性分析 |
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| 引用本文： | 吴志勤,石东伟. 带弱奇异核非线性积分微分方程的收敛性分析[J]. 山东大学学报(理学版), 2012, 47(8): 60-63 |
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| 作者姓名： | 吴志勤 石东伟 |
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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. 河南科技学院数学系, 河南 新乡 453003 |
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| 基金项目： | 国家自然科学基金资助项目(10671184;10971203);高等学校博士学科点专项基金(20094101110006);国家自然科学基金数学天元基金(11026154) |
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| 摘 要： | 利用双线性元对一类带弱奇异核非线性积分微分方程进行了研究。 利用单元已有的高精度分析结果、借助投影算子和平均值技巧, 在各向异性网格下得到了比以往文献高一阶的L2-模最优误差估计。
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| 关 键 词： | 积分微分方程 弱奇异核 各向异性 双线性元 最优误差估计, |
| 收稿时间： | 2012-01-31 |
Convergence analysis for nonlinear integro-differential equations with a weakly singular kernel |
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| WU Zhi-qin,SHI Dong-wei. Convergence analysis for nonlinear integro-differential equations with a weakly singular kernel[J]. Journal of Shandong University, 2012, 47(8): 60-63 |
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| Authors: | WU Zhi-qin SHI Dong-wei |
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| Affiliation: | 1. School of Mathematics and Statistics, Xuchang University, Xuchang 461000, Henan, China;
2. Department of Mathematics, Henan Insititute of Science and Technology, Xinxiang 453003, Henan, China |
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| Abstract: | The bilinear finite element approximate for a class of nonlinear integro-differential equations with weakly singular kernel is studied.The optimal error estimate which is one order higher approximate than the results of the previous literature in L2-norm is derived for anisotropy meshes based on the known high accuracy analysis results of this element,the projection operator and the average skills mean-value. |
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| Keywords: | integro-differential equations weakly singular kernel anisotropy blinear element optimal error estimate |
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