| 关于U_t=aU_(xx)差分格式的进一步研究(英文) |
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| 作者单位： | 山东工业大学数理系 |
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| 摘 要： | 对于热传导方程构造了两个高阶精度的差分格式，一个是三层七点显格式，另一个是三层九点隐格式．证明了差分格式的收敛性和稳定性，最后给出数值计算结果．
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| 关 键 词： | 热传导方程 差分格式 截断误差 |
Further Research on Difference Schemes of U t=aU xx |
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| Authors: | Zhang Tiande Wang Wei |
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| Abstract: | Two higher accuracy difference schemes for solving heat flow equation are established. The order of the discretization error is o (Δx 6) . One is an explicit scheme with seven points in three level, its stability condition is 00 . |
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| Keywords: | heat flow equations difference schemes truncation error |
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