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首页> 外文期刊>Applied Mathematics >Five Steps Block Predictor-Block Corrector Method for the Solution of y'' = f (x,y,y')
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Five Steps Block Predictor-Block Corrector Method for the Solution of y'' = f (x,y,y')

机译：y''= f（x，y，y'）的求解的五步块预测器-块校正器方法

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摘要

Theory has it that increasing the step length improves the accuracy of a method. In order to affirm this we increased the step length of the concept in [1] by one to get k = 5. The technique of collocation and interpolation of the power series approximate solution at some selected grid points is considered so as to generate continuous linear multistep methods with constant step sizes. Two, three and four interpolation points are considered to generate the continuous predictor-corrector methods which are implemented in block method respectively. The proposed methods when tested on some numerical examples performed more efficiently than those of [1]. Interestingly the concept of self starting [2] and that of constant order are reaffirmed in our new methods.
机译：理论上，增加步长可以提高方法的准确性。为了确认这一点，我们将[1]中概念的步长增加了1，以获得k =5。考虑了在某些选定的网格点上幂级数近似解的配置和内插技术，以便生成连续线性具有恒定步长的多步方法。考虑两个，三个和四个插值点以生成分别以块方法实现的连续预测器-校正器方法。当在一些数值示例上进行测试时，所提出的方法比[1]的方法更有效。有趣的是，我们的新方法重申了自启动的概念[2]和恒序的概念。

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