Shape Preserving Piecewise KNR Fractional Order Biquadratic C2 Spline

In a recent article, a piecewise cubic fractional spline function is developed which produces C1 continuity to given data points. In the present paper, an interpolant continuity class C2 is preserved which gives visually pleasing piecewise curves. The behavior of the resulting representations is ana...

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Bibliographic Details
Published in:Journal of mathematics (Hidawi) 2021, Vol.2021
Main Authors: Kirmani, Syed Khawar Nadeem, Riaz, Muhammad Bilal, Jarad, Fahd, Jasim, Hayder Natiq, Enver, Aytekin
Format: Article
Language:English
Subjects:
Calculus
Data points
Linear equations
Mathematics
Partial differential equations
Shape control
Spline functions
Online Access:Get full text
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Summary:In a recent article, a piecewise cubic fractional spline function is developed which produces C1 continuity to given data points. In the present paper, an interpolant continuity class C2 is preserved which gives visually pleasing piecewise curves. The behavior of the resulting representations is analyzed intrinsically with respect to variation of the shape control parameters t and s. The data points are restricted to be strictly monotonic along real line.
ISSN:2314-4629
2314-4785
DOI:10.1155/2021/9981153