| 抛物型方程在时间方向上的Chebyshev拟谱逼近 |
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| 引用本文： | 张法勇,吕万金.抛物型方程在时间方向上的Chebyshev拟谱逼近[J].黑龙江大学自然科学学报,2005,22(5):646-654. |
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| 作者姓名： | 张法勇 吕万金 |
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| 作者单位： | 黑龙江大学,数学科学学院,黑龙江,哈尔滨,150080;黑龙江大学,数学科学学院,黑龙江,哈尔滨,150080 |
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| 基金项目： | SupportedbytheNaturalScienceFoundationofChina(10371077) |
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| 摘 要： | 讨论抛物型方向在时间方向上的拟谱逼近问题,将其放到一个双线性泛函满足Necas—Babuska上确界、下确界条件的变分形式中,在理论上建立了拟谱逼近解的误差估计;最后,为了检验所给算法的有效性,给出了一个数值例子.
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| 关 键 词： | Chebyshev拟谱逼近 抛物型偏微分方程 误差估计 |
Chebyshev pseudospectral approximation in time for parabolic partial differential equations |
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| ZHANG Fa-yong,LU Wan-jin.Chebyshev pseudospectral approximation in time for parabolic partial differential equations[J].Journal of Natural Science of Heilongjiang University,2005,22(5):646-654. |
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| Authors: | ZHANG Fa-yong LU Wan-jin |
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| Abstract: | Chebyshev pseudospectral approximation in time for parabolic partial differential equations is discussed.This problem is set into a variational form which satisfies the inf-sup conditions of Necas-Babuska.Theoretical error estimate is establish for Chebyshev pseudospectral approximation in time.Finally,in order to verify the efficiency of the algorithm,a numerical example is given. |
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| Keywords: | Chebyshev pseudospectral approximation parabolic partial differential equations error estimate |
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