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自适应迎风格式求解奇异摄动两点边值问题的高精度算法(一) 被引量:3

High accuracy algorithm for solving a singularly perturbed two-point boundary value problem with adaptive upwind scheme.
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摘要 基于误差校正方法给出了用等分布原理求解一类奇异摄动两点边值问题的自适应数值新算法,用理论方法和数值试验证明了该算法的可行性和高效性. An adaptive solution of numerical algorithm using equidistribution principle is given to a singularly perturbed two-point boundary value problem based on defect correction method. Theoretical analysis and some numerical experiences are presented, proving that the algorithm is feasible and efficient.
出处 《浙江大学学报(理学版)》 CAS CSCD 北大核心 2005年第5期513-518,共6页 Journal of Zhejiang University(Science Edition)
基金 国家自然科学基金资助项目(No.10371104)
关键词 奇异摄动 迎风差分格式 自适应 singular perturbation upwind difference scheme adaptive
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参考文献6

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同被引文献23

  • 1杨继明,陈艳萍.一类奇异摄动对流扩散边值问题的移动网格方法[J].湘潭大学自然科学学报,2004,26(3):24-29. 被引量:12
  • 2Chen Y P. Uniform pointwise convergence for a singularly perturbed problem using arc-length equidistribution. Journal of Computational and Applied Mathematics, 2003, 159(1): 25-34. 被引量:1
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