| 双调和方程边值问题的一种新的伪谱逼近 |
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| 引用本文： | 叶兴德,江金生.双调和方程边值问题的一种新的伪谱逼近[J].浙江大学学报(理学版),1995,22(1):13-21. |
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| 作者姓名： | 叶兴德 江金生 |
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| 作者单位： | 杭州大学数学与信息科学系，杭州，310028） |
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| 基金项目： | 浙江省自然科学基金资助课题 |
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| 摘 要： | 本文对二维双调和方程非齐次边值间题提出 了一种新的数值通近方法:荃于伪谱方法的最小二 乘通近,证明 了这种最小二乘遇近 解是 唯一 存 在的,并给 出了误差估计,结果 表明这 种方法亦具有谱精度.
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| 关 键 词： | 双调和方程 伪谱方法 最小二乘法 |
A New Pseudospectral Approximation for the Biharmonic Boundary Value Problem |
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| Ye Xingde Jiang Jinsheng.A New Pseudospectral Approximation for the Biharmonic Boundary Value Problem[J].Journal of Zhejiang University(Sciences Edition),1995,22(1):13-21. |
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| Authors: | Ye Xingde Jiang Jinsheng |
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| Institution: | Department of Mathematics and Informations |
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| Abstract: | In this paper, we propose a new numerical method which is a least squares approximation based on pseudospectral method for the biharmonic equation with nonhomogeneous boundary conditions in a two dimensional domain. The existence and the uniqueness of the solution of the least squares approximation are proved. Error estimates for this method are given, which shows that our method also has spectralaccuracy. |
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| Keywords: | biharmonic equation pseudospectral method the least squares method |
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