WSEAS Transactions on Mathematics


Print ISSN: 1109-2769
E-ISSN: 2224-2880

Volume 16, 2017

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.


Volume 16, 2017



A Comparison of Approximations with Left, Right and Middle Integro-Differential Polynomial Splines of the Fifth Order

AUTHORS: I. G. Burova, A. G. Doronina, I. D. Miroshnichenko

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ABSTRACT: This paper deals with the construction of integro-differential polynomial splines of the fifth order on a uniform grid of nodes. It is supposed that values of function in nodes and the values of integrals over intervals are known. The properties of the left, the right and the middle integro-differential polynomial splines are investigated. The approximation with these splines is constructed on every grid interval separately. The results of numerical approximation by the left, the right, and the middle integro-differential splines show that the middle splines are preferable. Errors of approximation of the left, the right and the middle integro-differential polynomial splines of one variable of the fifth order are given. The approximation of functions of two variables is constructed using the tensor product. Numerical examples are presented.

KEYWORDS: integro-differential polynomial splines, approximation, tensor product

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WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 16, 2017, Art. #38, pp. 339-349


Copyright © 2017 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution License 4.0

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