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求解一类奇异摄动问题的两种移动网格算法的改进与比较

Improvement and Comparison of Two Moving Mesh Algorithms for a Singularly Perturbed Problem
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摘要 对于一类奇异摄动问题,构造了移动网格下的差分格式.通过改变移动网格的初始网格,并引入Richardson外推,对已有的两种算法进行了改进,通过数值实验进行了比较,并验证了算法改进后的优越性. Difference scheme on moving mesh for a class of singularly perturbed problem is constructed. Two algorithms are improved by changing initial mesh of moving mesh and introducing Richardson extrapolation. The algorithms are compared by numerical experiments, which shows the advantages of the improved algorithms.
作者 周琴
机构地区 湖南涉外经济学院理学部
出处 《湖南工程学院学报（自然科学版）》 2009年第2期54-57,共4页 Journal of Hunan Institute of Engineering(Natural Science Edition)
关键词 奇异摄动 移动网格方法 RICHARDSON外推 B-S网格 singular perturbation moving mesh method Richardson extrapolation B-S mesh
分类号 O241.8 [理学—计算数学]
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参考文献7

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二级参考文献9

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共引文献11

湖南工程学院学报（自然科学版）
2009年 第2期

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