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primary topic: Positivity preserving interpolation by using rational quartic spline

Positivity preserving interpolation by using rational quartic spline
type: AcademicArticle
type: Article
abstract: In this study, a new scheme for positivity preserving interpolation is proposed by using rational quartic spline of (quartic/quadratic) with three parameters. The sufficient condition for the positivity rational quartic interpolant is derived on one parameter meanwhile the other two are free parameters for shape modification. These conditions will guarantee to provide positive interpolating curve everywhere. We tested the proposed positive preserving scheme with four positive data and compared the results with other established schemes. Based on the graphical and numerical results, we found that the proposed scheme is better than existing schemes, since it has extra free parameter to control the positive interpolating curve. © 2020 the Author(s),.
date: 2020
volume: 5
issue: 4
is part of: AIMS Mathematics
status: peerReviewed
status: published
author list: authors
type: EPrint
type: ArticleEPrint
is part of: repository

American Institute of Mathematical Sciences
type: Organization

AIMS Mathematics
type: Collection
issn: 24736988

N.A. Harim
type: Person
given name: N.A.
family name: Harim

K.S. Nisar
type: Person
given name: K.S.
family name: Nisar

D. Baleanu
type: Person
given name: D.
family name: Baleanu

A. Ghaffar
type: Person
given name: A.
family name: Ghaffar

M. Othman
type: Person
given name: M.
family name: Othman

A. Saaban
type: Person
given name: A.
family name: Saaban

S.A.A. Karim
type: Person
given name: S.A.A.
family name: Karim

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primary topic: Positivity preserving interpolation by using rational quartic spline