| 解双调和方程的二次混合广义差分法 |
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| 引用本文： | 李永海.解双调和方程的二次混合广义差分法[J].吉林大学学报(理学版),1997(4). |
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| 作者姓名： | 李永海 |
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| 作者单位： | 吉林大学数学系!长春，130023 |
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| 摘 要： | 给出一种解双调和方程的二次混合广义差分法．数值实验表明，该方法比十三点格式和线性混合广义差分法精确，且计算量少于相应的混合有限元法．
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| 关 键 词： | 双调和方程 十三点格式 混合广义差分法 |
The Quadratic Mixed Generalized Difference Method for Biharmonic Equations |
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| Li Yonghai.The Quadratic Mixed Generalized Difference Method for Biharmonic Equations[J].Journal of Jilin University: Sci Ed,1997(4). |
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| Authors: | Li Yonghai |
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| Abstract: | Considering the boundary value problem of the biharmonic equation and letting, then the equation (A) can be transformed to the form:In this paper, we construct the mixed generalized difference method by taking piecewise quadratic trial space and piecewise constant test space. A numerical example is given by using the quadratic mixed generalized difference method, the linear mixed generalized method and the well-known thirteen points schemes. |
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| Keywords: | biharmonic equations thirteen points schemes mixed generalized difference method |
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