| 二维热传导方程的紧ADI法 |
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| 引用本文： | 王洁.二维热传导方程的紧ADI法[J].台州学院学报,2014(3):12-15. |
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| 作者姓名： | 王洁 |
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| 作者单位： | 台州学院数学与信息工程学院,浙江临海317000 |
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| 基金项目： | 基金项目：台州学院青年项目（2013QN09） |
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| 摘 要： | 对二维热传导方程进行紧交替方向有限差分，该方法在空间方向上具有四阶精度，在时间方向上具有二阶精度。证明了当rx，ry≥1／6时该有限差分解收敛于连续解。数值例子验证了该有限差分法具有高阶精度。
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| 关 键 词： | 二维热传导方程 紧ADI法 高阶精度 收敛性 |
Compact ADI Method for Solving Heat Equation with Two Dimensions |
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| WANG Jie.Compact ADI Method for Solving Heat Equation with Two Dimensions[J].Journal of Taizhou University,2014(3):12-15. |
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| Authors: | WANG Jie |
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| Institution: | WANG Jie (School of Mathematics and Information Engineering, Taizhou University, Linhai 317000, China) |
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| Abstract: | A high order algorithin is discussed in the paper. This algorithm has the accuracy of four-order in space and two-order in time. The finite difference scheme can be solved by ADI method. The convergence of finite difference solution to the continuous solution is proved when it is between 1/6 and 5/6. A numerical example is shown the high accuracy of the finite difference in the last section. |
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| Keywords: | heal equation with two dimensions compact ADI method high order accuracy convergence |
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