relation: https://khub.utp.edu.my/scholars/13822/
title: Positivity preserving interpolation by using rational quartic spline
creator: Harim, N.A.
creator: Karim, S.A.A.
creator: Othman, M.
creator: Saaban, A.
creator: Ghaffar, A.
creator: Nisar, K.S.
creator: Baleanu, D.
description: 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),.
publisher: American Institute of Mathematical Sciences
date: 2020
type: Article
type: PeerReviewed
identifier:   Harim, N.A. and Karim, S.A.A. and Othman, M. and Saaban, A. and Ghaffar, A. and Nisar, K.S. and Baleanu, D.  (2020) Positivity preserving interpolation by using rational quartic spline.  AIMS Mathematics, 5 (4).  pp. 3762-3782.  ISSN 24736988     
relation: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85087410774&doi=10.3934%2fmath.2020244&partnerID=40&md5=8189465d8110ee88d36af57d129758cc
relation: 10.3934/math.2020244
identifier: 10.3934/math.2020244