| 奇异摄动问题近似解及其加权误差导数的算法 |
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| 引用本文： | 刘莺,胡剑炜. 奇异摄动问题近似解及其加权误差导数的算法[J]. 科技信息, 2012, 0(31): 30-30,32 |
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| 作者姓名： | 刘莺 胡剑炜 |
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| 作者单位： | [1]湖南农业大学理学院,湖南长沙410128 [2]中国移动通信集团湖南有限公司,湖南长沙410015 |
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| 基金项目： | 湖南农业大学青年科学基金项目（10QN22）;湖南省教育厅科学研究一般项目（11C0670）. |
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| 摘 要： | 针对奇异摄动问题一般的非守恒形式的方程,选用标准迎风差分格式,对控制函数取值为弧长函数的离散形式,采用迭代算法构建移动网格.数值实验证实可得不依赖于摄动参数的收敛结果.
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| 关 键 词： | 奇异摄动 移动网格 一致收敛 |
An Algorithm of the Approximated Solution and Derivative for Singularly Perturbed Problems |
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| LIU Ying,HU Jian-wei. An Algorithm of the Approximated Solution and Derivative for Singularly Perturbed Problems[J]. Science, 2012, 0(31): 30-30,32 |
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| Authors: | LIU Ying HU Jian-wei |
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| Affiliation: | 2 ( 1.College of Science,Hunan Agricultural University, Changsha Hunan,410128,China; 2.Hunan Co., Ltd.China Mobile,Changsha Hunan, 410015,China) |
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| Abstract: | We choose a standard upwind difference scheme for a singularly perturbed problem. The mesh is constructed adaptively by using an iterative algorithm based on equidistribution a monitor function.The function is based on the arc-length of the approximated solution. Numerical computations are used to testify that a convergent result which is independent of the perturbation parameter is obtained. |
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| Keywords: | Singular perturbation Moving mesh Uniform convergence |
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