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一种基于预估校正法的解常微分方程的方法(英文)

A Process Based on Prediction Correction Method for Solving Ordinary Differential Equation
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摘要 由预估校正法 ,构造了一个收敛加速的解常微分方程的方法 ,即所谓的二阶 C变换法。此法的稳定域与校正法的相同。 In this paper, we construct, from the prediction correction method, a process for sloving ordinary differential equation with a convergence acceleration method, so called c transormation of order 2. The numerical stable region of this process is the same as that of the correction. The numerical tests show that this new process is very useful.
作者 柴华金
出处 《湛江海洋大学学报》 2000年第2期58-62,共5页 Journal of Zhanjiang Ocean University
关键词 稳定域 预估校正法 常微分方程 二阵C变换法 Prediction correction Convergence Acceleration Stable region
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参考文献4

  • 11,GearC.NumericalInitialvalueprobleminordinarydifferentialequations.Prentice-Hall.Inc.1971:60~90
  • 22,PeterHenricci.Discretevariablemethodsinordinarydifferentialequation.Johnwilley&sons,1962:35~45
  • 33,ByrneGD,HallCA.NumericalsolutionofNonlinearAlgebraicEquation.NewYork,AcademicPress,London,1973:30~60
  • 44,WangSH.Anewconceptofsequenceconvergenceacceleration-F-acceleration.MathematicsJournal,1994(4):28~33

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