Browsing by Author "Al-Qurashi, Maysaa M."

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Citation - WoS: 2
Citation - Scopus: 3
A New Approach to Increase the Flexibility of Curves and Regular Surfaces Produced by 4-Point Ternary Subdivision Scheme
(Hindawi Ltd, 2020) Hameed, Rabia; Baleanu, Dumitru; Mustafa, Ghulam; Liaqat, Amina; Baleanu, Dumitru; Khan, Faheem; Al-Qurashi, Maysaa M.; Chu, Yu-Ming; 56389; Matematik
In this article, we present a new subdivision scheme by using an interpolatory subdivision scheme and an approximating subdivision scheme. The construction of the subdivision scheme is based on translation of points of the 4-point interpolatory subdivision scheme to the new position according to three displacement vectors containing two shape parameters. We first study the characteristics of the new subdivision scheme analytically and then present numerical experiments to justify these analytical characteristics geometrically. We also extend the new derived scheme into its bivariate/tensor product version. This bivariate scheme is applicable on quadrilateral meshes to produce smooth limiting surfaces up toC3continuity.
Citation - WoS: 13
Citation - Scopus: 16
A new class of 2m-point binary non-stationary subdivision schemes
(Springer, 2019) Ghaffar, Abdul; Baleanu, Dumitru; Ullah, Zafar; Bari, Mehwish; Nisar, Kottakkaran Sooppy; Al-Qurashi, Maysaa M.; Baleanu, Dumitru; 56389; Matematik
A new class of 2m-point non-stationary subdivision schemes (SSs) is presented, including some of their important properties, such as continuity, curvature, torsion monotonicity, and convexity preservation. The multivariate analysis of subdivision schemes is extended to a class of non-stationary schemes which are asymptotically equivalent to converging stationary or non-stationary schemes. A comparison between the proposed schemes, their stationary counterparts and some existing non-stationary schemes has been depicted through examples. It is observed that the proposed SSs give better approximation and more effective results.
Citation - WoS: 0
Citation - Scopus: 0
A New Approach To Increase the Flexibility of Curves and Regular Surfaces Produced by 4-Point Ternary Subdivision Scheme (Vol 2020, 6096545, 2020)
(Hindawi Ltd, 2021) Baleanu, Dumitru; Mustafa, Ghulam; Liaqat, Amina; Baleanu, Dumitru; Khan, Faheem; Al-Qurashi, Maysaa M.; Chu, Yu-Ming; Matematik
Citation - WoS: 16
Citation - Scopus: 23
Numerical Solution of the Boundary Value Problems Arising in Magnetic Fields and Cylindrical Shells
(Mdpi, 2019) Khalid, Aasma; Baleanu, Dumitru; Naeem, Muhammad Nawaz; Ullah, Zafar; Ghaffar, Abdul; Baleanu, Dumitru; Nisar, Kottakkaran Sooppy; Al-Qurashi, Maysaa M.; 56389; Matematik
This paper is devoted to the study of the Cubic B-splines to find the numerical solution of linear and non-linear 8th order BVPs that arises in the study of astrophysics, magnetic fields, astronomy, beam theory, cylindrical shells, hydrodynamics and hydro-magnetic stability, engineering, applied physics, fluid dynamics, and applied mathematics. The recommended method transforms the boundary problem to a system of linear equations. The algorithm we are going to develop in this paper is not only simply the approximation solution of the 8th order BVPs using Cubic-B spline but it also describes the estimated derivatives of 1st order to 8th order of the analytic solution. The strategy is effectively applied to numerical examples and the outcomes are compared with the existing results. The method proposed in this paper provides better approximations to the exact solution.