A simple method for constructing integro spline quasi-interpolants

A. Boujraf, D. Sbibih, M. Tahrichi and A. Tijini

Mathematics and Computers in Simulation (MATCOM), 2015, vol. 111, issue C, 36-47

Abstract: In this paper, we study a new method for function approximation from the given integral values over successive subintervals by using cubic B-splines. The method does not need any additional end conditions and it is easy to be implemented without solving any system of linear equations. The method is able to approximate the original function and its first and second-order derivatives over the global interval successfully. The approximation errors are well studied. Numerical results illustrate that our method is very effective.

Keywords: B-spline; Quasi-interpolant; Integral value; End conditions (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:111:y:2015:i:c:p:36-47

DOI: 10.1016/j.matcom.2014.11.019

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