Interpolation by integro quintic splines
Interpolation by integro quintic splines
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DOI：
10.1016/j.amc.2010.01.009
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发表时间：
2010-03
期刊：
影响因子：
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通讯作者：
H. Behforooz
中科院分区：
文献类型：
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作者：
H. Behforooz
最近Behforooz [1]提出了一种新的构造三次样条的方法，即用积分值而不是通常的函数值来构造三次样条。此外，他建立了不同的结束条件三次和五次样条使用的积分值，见Behforooz [2-4]。本文将利用文[1]中同样的技巧构造整五次样条。虽然通过使用积分值，我们预计将面临一个更复杂的过程，为我们的建设，原来的矩阵的线性方程组，产生的参数成为一个对角占优矩阵和过程变得非常简单。我们的积分五次样条所需的结束条件的选择将进行讨论。数值例子和计算结果表明并保证了这种近似的较高精度。
Recently, Behforooz [1], has introduced a new approach to construct cubic splines by using the integral values, rather than the usual function values at the knots. Also he has established different sets of end conditions for cubic and quintic splines by using the integral values, see Behforooz [2–4]. In this paper, we will use the same techniques of [1] to construct integro quintic splines. Although by using the integral values we expected to face a more complicated process for our construction, it turned out that the matrix of the system of linear equations that produces the parameters became a diagonally dominant matrix and the process became very simple. The selection of the required end conditions for our integro quintic splines will be discussed. The numerical examples and computational results illustrate and guarantee a higher accuracy for this approximation.