| 二维Crank-Nicholson差分格式及其稳定性 |
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| 引用本文： | 卢玉蓉,何永富,蔡靖疆,李建斌,郑筠,周洁. 二维Crank-Nicholson差分格式及其稳定性[J]. 成都理工大学学报(自然科学版), 1999, 0(1): 64-67 |
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| 作者姓名： | 卢玉蓉 何永富 蔡靖疆 李建斌 郑筠 周洁 |
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| 作者单位： | 1. 成都理工学院应用数学系,成都,610059
2. 四川科技职工大学 |
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| 摘 要： | 利用积分插值法,把二维Crank-Nicholson差分格式,由常系数推广到变系数情形.不仅导出了差分格式的截断误差,而且还应用能量估计法,详细论证了差分格式的绝对稳定性.该差分格式是一个精度高,稳定性好,便于应用的差分格式.
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| 关 键 词： | 积分插值法 截断误差 分部求和 能量估计法 |
TWO-DIMENSIONAL CRANK-NICHOLSON DIFFERENCE SCHEME AND ITS STABILITY |
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| Lu Yurong,He Yongfu,Cai Jingjiang,Li Jianbin,Zheng Jun,Zhou Jie. TWO-DIMENSIONAL CRANK-NICHOLSON DIFFERENCE SCHEME AND ITS STABILITY[J]. Journal of Chengdu University of Technology: Sci & Technol Ed, 1999, 0(1): 64-67 |
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| Authors: | Lu Yurong He Yongfu Cai Jingjiang Li Jianbin Zheng Jun Zhou Jie |
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| Abstract: | This paper generalizes the two-dimensionalCrank-Nicholson difference scheme from constant coefficient to the condition of variablecoefficient with interpolation by integral. It not only derives truncation error of thedifference scheme, but also proves absolute stability of the differecce scheme by theenergy estimate method. This difference scheme is high accurate, good stable andapplicable. |
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| Keywords: | interpolation by integral truncation error summation by parts energy estimate method |
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