| 一类热传导方程区域分解简易算法 |
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| 引用本文： | 尹永学,朴光日.一类热传导方程区域分解简易算法[J].延边大学理工学报,2012(2):100-103. |
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| 作者姓名： | 尹永学 朴光日 |
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| 作者单位： | 延边大学理学院数学系,吉林延吉133002 |
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| 摘 要： | 讨论了一类求解一维热传导方程区域分解的简易算法.首先采用4阶精度显格式计算子区域间的内界点值,然后采用θ-scheme在各子区域并行地求出内点值.利用最大值原理得到了误差估计式,并通过具体算例给出了非区域分解情形和区域分解情形下的误差.结果表明,所得数值算法简单方便,适用于精度要求不高的并行计算.
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| 关 键 词： | 一维热传导方程 区域分解 有限差分 并行计算 |
A simple domain decomposition method for the one-dimensional heat equation |
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| YIN Yong-xue,PIAO Guang-ri.A simple domain decomposition method for the one-dimensional heat equation[J].Journal of Yanbian University (Natural Science),2012(2):100-103. |
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| Authors: | YIN Yong-xue PIAO Guang-ri |
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| Affiliation: | ( Department of Mathematics, College of Science, Yanbian University, Yanji 133002, China ) |
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| Abstract: | A simple finite difference domain decomposition method is proposed. An explicit method is used for solving interface values between subdomains, and then the inner values of subdomains can be solved in parallel using θ-scheme. Error estimates is derived by maximum principle and errors of domain decomposition case and non domain decomposition case are shown, respectively. The result shows that the obtained numerical method is appropriate for the case of parallel computing, rapid development and of low accuracy requirements. |
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| Keywords: | one-dimensional heat equation domain decomposition finite difference parallel computing |
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