| 一类奇异半线性抛物方程的非对称有限元方法 |
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| 引用本文： | 韩玉桃.一类奇异半线性抛物方程的非对称有限元方法[J].天津商学院学报,2008,28(3):45-47. |
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| 作者姓名： | 韩玉桃 |
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| 作者单位： | 天津商业大学理学院 天津300134 |
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| 基金项目： | 天津市教委高校科技发展基金资助项目 |
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| 摘 要： | 具有奇异系数的抛物方程是一类很重要的方程，但是求其精确解是很困难的。本文考虑一类奇异半线性抛物方程初、边值问题的非对称有限元方法，给出了全离散解的加权L2模的误差估计。
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| 关 键 词： | 奇异半线性 抛物方程 加权L2模 全离散 |
Non-symmetric FEM for Whole-discrete Solution of a Class of Semilinear Parabolic Equations with Singularities |
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| HAN Yu-tao.Non-symmetric FEM for Whole-discrete Solution of a Class of Semilinear Parabolic Equations with Singularities[J].Journal of Tianjin University of Commerce,2008,28(3):45-47. |
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| Authors: | HAN Yu-tao |
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| Institution: | HAN Yu-tao (School of Science, Tianjin University of Commerce, Tianjin 300134, China) |
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| Abstract: | The parabolic equations with singularities are very important in the field of mathematics,however,the exact solution of these equations are very difficult to attain.A class of semilinear parabolic equations with singularities is considered in the paper,and results of the weighted L2 norm error estimate with respect to the whole-discrete FEM solution are obtained. |
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| Keywords: | singular semilinear parabolic equation weighted L2 norm whole-discrete |
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