| 三维热传导方程的一族两层显式格式 |
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| 引用本文： | 曾文平. 三维热传导方程的一族两层显式格式[J]. 应用数学和力学, 2000, 21(9): 966-972 |
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| 作者姓名： | 曾文平 |
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| 作者单位： | 华侨大学管理信息科学系, 福建泉州362011 |
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| 基金项目： | 福建省自然科学基金资助项目 |
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| 摘 要： | 提出了一族三维热传导方程的两层显式差分格式,当截断误差阶为O(Δt+(Δx)2)时,稳定性条件为网格比r=Δt/(Δx)2=Δt/(Δy)2=Δt/(Δz)2≤1/2,优于其他显式差分格式。而当截断误差阶为O((Δt)2+(Δx)4)时,稳定性条件为r≤1/6,包含了已有的结果。
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| 关 键 词： | 三维热传导方程 显式差分格式 截断误差 稳定性 |
| 收稿时间： | 1999-03-08 |
A Class of Two-Level Explicit Difference Schemes for Solving Three Dimensional Heat Conduction Equation |
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| ZENG Wen-ping. A Class of Two-Level Explicit Difference Schemes for Solving Three Dimensional Heat Conduction Equation[J]. Applied Mathematics and Mechanics, 2000, 21(9): 966-972 |
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| Authors: | ZENG Wen-ping |
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| Affiliation: | Depertment of Management Information Science, Huaqiao University, Quanzhou, Fujian 362011, P R China |
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| Abstract: | A class of two-level explicit difference schemes are presented for solving three-dimensional heat conduction equation.When the order of truncation error is O(Δt+(Δx)2),the stability condition is mesh ratio r=Δt/(Δx)2=Δt/(Δy)2=Δt/(Δz)2≤1/2, which is better than that of a all the other explicit difference schemes.And when the order of truncation error is O((Δt)2+(Δx)4),the stability condition is r≤1/6,which contains the known results. |
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| Keywords: | three_dimensional heat conduction equation explicit difference scheme truncation error stability condition |
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