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| 高阶紧致格式结合外推技巧求解对流扩散方程 | |
| 引用本文： | 钱凌志,顾海波.高阶紧致格式结合外推技巧求解对流扩散方程[J].山东大学学报(理学版),2011,46(12):39-43. |
| 作者姓名： | 钱凌志 顾海波 |
| 作者单位： | 1. 石河子大学理学院数学系, 新疆 石河子 832003; 2. 新疆师范大学数学科学学院, 新疆 乌鲁木齐 830053 |
| 基金项目： | 新疆维吾尔自治区自然科学基金资助项目(2010211B12) |
| 摘 要： | 将Padé 逼近方法、Richardson外推技巧、两重网格算法与紧致差分方法相结合,对线性对流扩散问题构造了一种新的高阶紧致差分格式,给出了格式的实现过程和误差估计,分析了稳定性。最后给出数值算例说明算法的有效性。 |
| 关 键 词： | 紧致差分格式 Richardson外推技巧 两重网格算法 Padé逼近 |
| 收稿时间： | 2010-11-23 |
High order compact scheme combined with extrapolation technique for solving convection-diffusion equations |
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| QIAN Ling-zhi,GU Hai-bo.High order compact scheme combined with extrapolation technique for solving convection-diffusion equations[J].Journal of Shandong University,2011,46(12):39-43. | |
| Authors: | QIAN Ling-zhi GU Hai-bo |
| Institution: | 1. Department of Mathematics, School of Science, Shihezi University, Shihezi 832003, Xinjiang, China; 2. School of Mathematical Sciences, Xinjiang Normal University, Urumqi 830053, Xinjiang, China |
| Abstract: | Compact difference scheme are constructed by means of Padé approximation method, Richardson extrapolation technique and two-grid algorithm combined with compact finite difference scheme for linear convection-diffusion problems. Realization of the scheme,analysis of stability and error estimated are presented. Finally, numerical examples are presented to clarify the method. |
| Keywords: | compact difference scheme Richardson extrapolation technique two-grid algorighm Padé approximation |
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