Citation

Ashraf, Pakeeza and Nur Alam, Md. and Habib, Asbat and Kalsoom, Amna and Ghaffar, Abdul and Sayeed, Md. Shohel (2026) MODELING OF FRACTAL CURVES BY AN INTERPOLATORY QUINARY REFINEMENT SCHEME. Fractals. ISSN 0218-348X

Text MODELING OF FRACTAL CURVES BY AN INTERPOLATORY QUINARY REFINEMENT SCHEME.pdf - Published Version Restricted to Repository staff only Download (6MB)

Abstract

This study introduces a 4-point interpolatory quinary refinement scheme with two shape parameters and investigates the scheme’s convergence and smoothness. The scheme’s fundamental properties, such as approximation order, polynomial reproduction, and polynomial generation, are also examined. To the best of our knowledge, this is the first quinary interpolatory scheme shown to generate fractal curves with endpoint interpolation, and its versatility is demonstrated by its ability to generate fractal curves within a specific range of the shape parameters. A modified 4-point quinary scheme for endpoint interpolation is also presented to enhance the scheme’s modeling capability. This research offers valuable insights into the behavior and potential applications of the scheme in engineering and industry.

Item Type:	Article
Uncontrolled Keywords:	Quinary system
Subjects:	Q Science > QA Mathematics > QA101-(145) Elementary mathematics. Arithmetic
Divisions:	Faculty of Information Science and Technology (FIST)
Depositing User:	Ms Rosnani Abd Wahab
Date Deposited:	28 Oct 2026 07:48
Last Modified:	28 Oct 2026 07:48
URII:	http://shdl.mmu.edu.my/id/eprint/16952

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