TY  - JOUR
JF  - AIMS Mathematics
PB  - American Institute of Mathematical Sciences
TI  - Positivity preserving interpolation by using rational quartic spline
SN  - 24736988
VL  - 5
EP  - 3782
SP  - 3762
N2  - 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),.
A1  - Harim, N.A.
A1  - Karim, S.A.A.
A1  - Othman, M.
A1  - Saaban, A.
A1  - Ghaffar, A.
A1  - Nisar, K.S.
A1  - Baleanu, D.
N1  - cited By 10
Y1  - 2020///
AV  - none
ID  - scholars13822
UR  - https://www.scopus.com/inward/record.uri?eid=2-s2.0-85087410774&doi=10.3934%2fmath.2020244&partnerID=40&md5=8189465d8110ee88d36af57d129758cc
IS  - 4
ER  -