| 二维Poisson方程的谱方法求解 |
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| 引用本文： | 王建瑜,宋菲.二维Poisson方程的谱方法求解[J].科学技术与工程,2009,9(12). |
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| 作者姓名： | 王建瑜 宋菲 |
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| 作者单位： | 西北农林科技大学理学院,杨凌,712100 |
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| 摘 要： | 应用Chebyshev Tau方法和Chebyshev Galerkin方法数值求解了二维Poisson方程边值问题,得到了该问题的高精度逼近解.同时分析了数值逼近误差,说明了谱方法的高精度性和快速收敛性,并验证了谱方法的逼近效果与未知函数的正则性有关.
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| 关 键 词： | Poisson方程 谱方法 Garlerkin方法 Tau方法 |
Numerical Simulation of Two-dimensional Poisson Equation by Spectral Method |
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| WANG Jian-yu,SONG Fei.Numerical Simulation of Two-dimensional Poisson Equation by Spectral Method[J].Science Technology and Engineering,2009,9(12). |
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| Authors: | WANG Jian-yu SONG Fei |
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| Institution: | College of Science;Northwestern A&F University;Yangling 712100;P.R.China |
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| Abstract: | Two-dimensional Poisson equation are solved by both Chebyshev Tau method and Chebyshev Galerkin method,the numerical uncoils are compared with the exact one.At last,the error of these methods is analyzed.The results show spectral accuracy of spectral method. |
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| Keywords: | Poisson equation spectral method Galerkin method Tau method |
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