| 四阶奇异摄动边值问题在自适应网格上的一致收敛分析 |
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| 引用本文： | 岑仲迪,高怀毅.四阶奇异摄动边值问题在自适应网格上的一致收敛分析[J].高等学校计算数学学报,2003,25(4):344-350. |
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| 作者姓名： | 岑仲迪 高怀毅 |
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| 作者单位： | 1. 浙江大学数学系,杭州,310028；浙江万里学院数学研究所,宁波,315100
2. 宁夏大学数学系,银川,750021 |
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| 摘 要： | we study a difference scheme for the fourth-order singular pertur-bation differential equation on the Bakhvalov-Shishkin grid by Green‘‘s function.The method is shown to be uniformly convergent with respect to the perturbation parameter,of order N^-2 in the maxmum norm on Bakhvalov-Shishkin meshes.Numerical results support our theoretical results.
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| 关 键 词： | 四阶奇异摄动边值问题 自适应网格 一致收敛性 差分格式 离散格林函数 有限元方法 |
| 修稿时间： | 2002年6月24日 |
UNIFORM CONVERGENCE ANALYSIS OF A FOURTH-ORDER SINGULAR PERTURBATION BOUNDARY VALUE PROBLEM ON ADAPTED GRIDS |
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| Cen Zhongdi.UNIFORM CONVERGENCE ANALYSIS OF A FOURTH-ORDER SINGULAR PERTURBATION BOUNDARY VALUE PROBLEM ON ADAPTED GRIDS[J].Numerical Mathematics A Journal of Chinese Universities,2003,25(4):344-350. |
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| Authors: | Cen Zhongdi |
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| Abstract: | we study a difference scheme for the fourth-order singular perturbation differential equation on the Bakhvalov-Shishkin grid by Green's function.The method is shown to be uniformly convergent with respect to the perturbation parameter,of order N-2 in the maxmum norm on Bakhvalov-Shishkin meshes.Numerical results support our theoretical results. |
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| Keywords: | singular perturbation Bakhvalov-Shishkin grid Green's function truncation error uniformly convergence |
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