Title: Three Simple Spline Methods for Approximation and Interpolation of Data
Abstract: In this research, the method of interpolation of piecewise splines is used. One spline method of third order and two spline methods of forth order, with the usage of middle point and the approximation of the first derivative in given points are used. For second degree spline, there are continuity of function and its derivative at the points. In the cubic spline with the middle point there are continuity of function and the first derivative in each piece boundaries. Also the continuity of function and first derivative are satisfied in the third method. These three methods are usable for elements or pieces with different sizes i i i x x h − = +1 . The three mentioned methods are examined for three different functions. The results show in the situation where continuity 1 C is required, also with respect to the accuracy and the amount of calculations, these models are preferred to the classic cubic spline method for many problems.
Publication Year: 2009
Publication Date: 2009-01-01
Language: en
Type: article
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Cited By Count: 3
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