| 基于 Crank-Nicolson 格式的移动网格算法求解对流扩散问题 |
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| 引用本文： | 魏伟平,颜克清.基于 Crank-Nicolson 格式的移动网格算法求解对流扩散问题[J].纺织高校基础科学学报,2016(1):59-65. |
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| 作者姓名： | 魏伟平 颜克清 |
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| 作者单位： | 长安大学 理学院,陕西 西安,710064 |
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| 摘 要： | 构造了一类移动网格下的 Crank-Nicolson 差分格式，用于求解含源项非定常的对流扩散问题。首先，介绍了其网格迭代的方法和算法，通过数值实验实现该算法。然后，将由此算法求解的结果误差与均匀网格下求解的误差相比较，证明了移动网格下的 Crank-Nicolson 差分格式是求解含源项非定常奇异摄动的对流扩散问题的有效方法之一。
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| 关 键 词： | 对流扩散 奇异摄动 Crank-Nicolson 差分格式 移动网格 |
Moving mesh method for solving convection-diffusion problems by Crank-Nicolson scheme |
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| Abstract: | A Crank-Nicolson difference scheme on moving mesh for a class of unsteady singularly perturbed convection-diffusion problem with source term was constructed,and its iterative method and algorithm were introduced.The error on moving mesh and that on uniform mesh was compared by numerical experiments,and it proved that one of the effective methods for solving singular perturbation when using Crank-Nicolson difference scheme on moving mesh. |
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| Keywords: | convection-diffusion singular perturbation Crank-Nicolson difference scheme moving mesh |
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