Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

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Publisher: search.filters.publisher.Amer inst Mathematical Sciences-aimsSubject: search.filters.subject.Continuity

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  • Article
    Citation - WoS: 1
    Citation - Scopus: 1
    The Inequalities for the Analysis of a Class of Ternary Refinement Schemes
    (Amer inst Mathematical Sciences-aims, 2020) Ejaz, Syeda Tehmina; Baleanu, Dumitru; Chu, Yu-Ming; Mustafa, Ghulam
    The ternary refinement schemes are the generalized version of the binary refinement schemes. This class of the schemes produce the smooth curves with the less number of refinement steps as compared to the binary class of schemes. In this paper, we present the inequalities for the analysis of a class of ternary refinement schemes. There are three simple algebraic expressions in each inequality. Further these algebraic expressions contain only the coefficients used in the refinement rules of the ternary schemes.
  • Article
    Citation - WoS: 9
    Citation - Scopus: 13
    Positivity Preserving Interpolation by Using Rational Quartic Spline
    (Amer inst Mathematical Sciences-aims, 2020) Karim, Samsul Ariffin Abdul; Othman, Mahmod; Saaban, Azizan; Ghaffar, Abdul; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru; Harim, Noor Adilla
    In this study, a new scheme for positivity preserving interpolation is proposed by using C-1 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.