C 2 Cubic Algebraic Hyperbolic Spline Interpolating Scheme by Means of Integral Values

Salah Eddargani, Mohammed Oraiche, Abdellah Lamnii and Mohamed Louzar
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Salah Eddargani: Department of Applied Mathematics, University of Granada, 18071 Granada, Spain
Mohammed Oraiche: MISI Laboratory, Faculty of Sciences and Techniques, Hassan First University of Settat, Settat 26000, Morocco
Abdellah Lamnii: LaSAD Laboratory, Ecole Normale Supérieure, Abdelmalek Essaadi University, Tetouan 93030, Morocco
Mohamed Louzar: MISI Laboratory, Faculty of Sciences and Techniques, Hassan First University of Settat, Settat 26000, Morocco

Mathematics, 2022, vol. 10, issue 9, 1-13

Abstract: In this paper, a cubic Hermite spline interpolating scheme reproducing both linear polynomials and hyperbolic functions is considered. The interpolating scheme is mainly defined by means of integral values over the subintervals of a partition of the function to be approximated, rather than the function and its first derivative values. The scheme provided is C 2 everywhere and yields optimal order. We provide some numerical tests to illustrate the good performance of the novel approximation scheme.

Keywords: algebraic hyperbolic splines; integro cubic interpolation; Hermite representation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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