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Algorithms 2017, 10(1), 32; doi:10.3390/a10010032

A New Quintic Spline Method for Integro Interpolation and Its Error Analysis

School of Mathematical Sciences, Ocean University of China, Qingdao 266100, China
Academic Editor: Alicia Cordero
Received: 24 December 2016 / Revised: 26 February 2017 / Accepted: 1 March 2017 / Published: 3 March 2017
View Full-Text   |   Download PDF [761 KB, uploaded 3 March 2017]

Abstract

In this paper, to overcome the innate drawbacks of some old methods, we present a new quintic spline method for integro interpolation. The method is free of any exact end conditions, and it can reconstruct a function and its first order to fifth order derivatives with high accuracy by only using the given integral values of the original function. The approximation properties of the obtained integro quintic spline are well studied and examined. The theoretical analysis and the numerical tests show that the new method is very effective for integro interpolation. View Full-Text
Keywords: quintic spline; integral value; integro interpolation; artificial end condition; error analysis quintic spline; integral value; integro interpolation; artificial end condition; error analysis
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Lang, F.-G. A New Quintic Spline Method for Integro Interpolation and Its Error Analysis. Algorithms 2017, 10, 32.

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