| 微分求积区域分裂法求解二维奇异摄动问题 |
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| 引用本文： | 刘书亭,吴雄华.微分求积区域分裂法求解二维奇异摄动问题[J].数值计算与计算机应用,2007,28(3):188-197. |
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| 作者姓名： | 刘书亭 吴雄华 |
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| 作者单位： | 同济大学应用数学系,上海,200092 |
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| 摘 要： | 本文应用微分求积法结合区域分裂法求解二维奇异摄动问题,数值实验表明,该方法简单易行,计算量少,精确度高.并且微分求积法结合区域分裂法把大型计算化成若干小型计算,避免了微分求积法导出的矩阵不是稀疏矩阵对大型计算不利的缺点.
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| 关 键 词： | 微分求积法 区域分裂法 奇异摄动 对流扩散方程 |
| 修稿时间： | 2005年9月27日 |
DIFFERENTIAL QUADRATURE DOMAIN DECOMPOSITION METHOD FOR 2-D SINGULAR PERTURBATION PROBLEMS |
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| Liu Shuting,Wu Xionghua.DIFFERENTIAL QUADRATURE DOMAIN DECOMPOSITION METHOD FOR 2-D SINGULAR PERTURBATION PROBLEMS[J].Journal on Numerical Methods and Computer Applications,2007,28(3):188-197. |
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| Authors: | Liu Shuting Wu Xionghua |
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| Abstract: | In this paper,the differential quadrature domain decomposition method is applied for 2-D convection-diffusion problems.The numerical tests show that this method leads to high-order accuracy at a cost of relatively small computation effort.Furthermore differential quadrature domain decomposition method solves the partial differential equation on several subdomain instead of on the whole domain which reduces the computation cost greatly. |
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| Keywords: | differential quadrature method domain decomposition singular perturbation convection-diffusion problems |
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