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Yazar "Mustafa, Ghulam" için listeleme

Toplam kayıt 13, listelenen: 1-13

A 6-point subdivision scheme and its applications for the solution of 2nd order nonlinear singularly perturbed boundary value problems

Mustafa, Ghulam; Baleanu, Dumitru; Ejaz, Syeda Tehmina; Anju, Kaweeta; Ahmadian, Ali; Salahshour, Soheil; Ferrara, Massimiliano (2020)

In this paper, we first present a 6-point binary interpolating subdivision scheme (BISS) which produces a C 2 continuous curve and 4th order of approximation. Then as an application of the scheme, we develop an iterative ...
A Class of Refinement Schemes With Two Shape Control Parameters

Mustafa, Ghulam; Hameed, Rabia; Baleanu, Dumitru; Mahmood, Ayesha (2020)

A subdivision scheme defines a smooth curve or surface as the limit of a sequence of successive refinements of given polygon or mesh. These schemes take polygons or meshes as inputs and produce smooth curves or surfaces ...
A Computational Method for Subdivision Depth of Ternary Schemes

Khan, Faheem; Mustafa, Ghulam; Shahzad, Aamir; Baleanu, Dumitru; M. Al-Qurashi, Maysaa (2020-05)

Subdivision schemes are extensively used in scientific and practical applications to produce continuous shapes in an iterative way. This paper introduces a framework to compute subdivision depths of ternary schemes. We ...
A divided differences based medium to analyze smoothness of the binary bivariate refinement schemes

Hameed, Rabia; Mustafa, Ghulam; Baleanu, Dumitru; Chu, Yu-Ming (2021-03-22)

In this article, we present the continuity analysis of the 3D models produced by the tensor product scheme of (m + 1)-point binary refinement scheme. We use differences and divided differences of the bivariate refinement ...
A New Approach to Increase the Flexibility of Curves and Regular Surfaces Produced by 4-Point Ternary Subdivision Scheme

Hameed, Rabia; Mustafa, Ghulam; Liaqat, Amina; Baleanu, Dumitru; Khan, Faheem; Al-Qurashi, Maysaa M.; Chu, Yu-Ming (2020-10-07)

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 ...
A New Computational Approach to Estimate the Subdivision Depth of n-Ary Subdivision Scheme

Mustafa, Ghulam; Shahzad, Aamir; Khan, Faheem; Baleanu, Dumitru; Chu, Yuming (2020)

The n-ary subdivision scheme has traditionally been designed to generate smooth curve and surface from control polygon. In this paper, we propose a new subdivision depth computation technique for n-ary subdivision scheme. ...
A Novel Numerical Algorithm to Estimate the Subdivision Depth of Binary Subdivision Schemes

Shahzad, Aamir; Khan, Faheem; Ghaffar, Abdul; Mustafa, Ghulam; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru (2020-01)

Subdivision schemes are extensively used in scientific and practical applications to produce continuous geometrical shapes in an iterative manner. We construct a numerical algorithm to estimate subdivision depth between ...
A shape-preserving variant of Lane-Riesenfeld algorithm

Ashraf, Pakeeza; Mustafa, Ghulam; Khan, Husna A.; Baleanu, Dumitru; Ghaffar, Abdul; Nisar, Kottakkaran Sooppy (2021)

This paper introduces a family of shape-preserving binary approximating subdivision schemes by applying a shape-preserving variant on the Lane-Riesenfeld algorithm. Using the symbols of subdivision schemes, we determine ...
A subdivision-based approach for singularly perturbed boundary value problem

Mustafa, Ghulam; Ejaz, Syeda Tehmina; Baleanu, Dumitru; Ghaffar, Abdul; Nisar, Kottakkaran Sooppy (2020-06-11)

A numerical approach for solving second order singularly perturbed boundary value problems (SPBVPs) is introduced in this paper. This approach is based on the basis function of a 6-point interpolatory subdivision scheme. ...
Construction and analysis of unified 4-point interpolating nonstationary subdivision surfaces

Bari, Mehwish; Mustafa, Ghulam; Ghaffar, Abdul; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru (2021-01-23)

Subdivision schemes (SSs) have been the heart of computer-aided geometric design almost from its origin, and several unifications of SSs have been established. SSs are commonly used in computer graphics, and several ways ...
The inequalities for the analysis of a class of ternary refinement schemes

Mustafa, Ghulam; Ejaz, Syeda Tehmina; Baleanu, Dumitru; Chu, Yu-Ming (2020)

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 ...
The numerical solution of fourth order nonlinear singularly perturbed boundary value problems via 10-point subdivision scheme based numerical algorithm

Ejaz, Syeda Tehmina; Baleanu, Dumitru; Mustafa, Ghulam; Malik, Safia; Chu, Yu-Ming (2020-09-01)

The subdivision scheme is used to illustrate smooth curves and surfaces. It is an algorithmic technique which takes a coarse polygon as an input and produces a refined polygon as an output. In this paper, a 10-point ...
The refinement-schemes-based unified algorithms for certain nth order linear and nonlinear differential equations with a set of constraints

Ejaz, Syeda Tehmina; Mustafa, Ghulam; Baleanu, Dumitru; Chu, Yu-Ming (2021-12)

We first present a generalized class of binary interpolating refinement schemes and their properties. Then the refinement-schemes-based unified algorithms for the solution of certain nth order linear and nonlinear differential ...

Yazar "Mustafa, Ghulam" için listeleme

Yazar "Mustafa, Ghulam" için listeleme

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