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Browsing Fen - Edebiyat Fakültesi by Author "Ghaffar, Abdul"

Browsing Fen - Edebiyat Fakültesi by Author "Ghaffar, Abdul"

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  • A new class of 2m-point binary non-stationary subdivision schemes 
    Ghaffar, Abdul; Ullah, Zafar; Bari, Mehwish; Nisar, Kottakkaran Sooppy; Al-Qurashi, Maysaa M.; Baleanu, Dumitru (Springer Open, 2019-08-07)
    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 ...
  • A New Class of 2Q-Point Nonstationary Subdivision Schemes and Their Applications 
    Ghaffar, Abdul; Bari, Mehwish; Ullah, Zafar; Iqbal, Mudassar; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru (MDPI AG, 2019-07-01)
    The main objective of this study is to introduce a new class of 2q-point approximating nonstationary subdivision schemes (ANSSs) by applying Lagrange-like interpolant. The theory of asymptotic equivalence is applied to ...
  • A novel analytical technique to obtain the solitary solutions for nonlinear evolution equation of fractional order 
    Ghaffar, Abdul; Ali, Ayyaz; Ahmed, Sarfaraz; Akram, Saima; Junjua, Moin-ud-Din; Baleanu, Dumitru; Nisar, Kottakkaran Sooppy (2020-06-22)
    We investigate some solitary wave results of time fractional evolution equations. By employing the extended rationalexp((-psi '/psi)(eta))-expansion method, a few different results including kink, singular-kink, multiple ...
  • 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. ...
  • Analysis of Geometric Properties of Ternary Four-Point Rational Interpolating Subdivision Scheme 
    Pakeeza, Ashraf; Bushra, Nawaz,; Baleanu, Dumitru; Nisar, Kottakkaran Sooppy; Ghaffar, Abdul; Ahmed Khan, Muhammad Aqeel; Akram, Saima (MDPI AG, 2020-03-01)
    Shape preservation has been the heart of subdivision schemes (SSs) almost from its origin, and several analyses of SSs have been established. Shape preservation properties are commonly used in SSs and various ways have ...
  • 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 ...
  • Construction and Application of Nine-Tic B-Spline Tensor Product SS 
    Ghaffar, Abdul; Iqbal, Mudassar; Bari, Mehwish; Hussain, Sardar Muhammad; Manzoor, Raheela; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru (MDPI, 2019-08)
    In this paper, we propose and analyze a tensor product of nine-tic B-spline subdivision scheme (SS) to reduce the execution time needed to compute the subdivision process of quad meshes. We discuss some essential features ...
  • Construction of Cubic Timmer Triangular Patches and Its Application in Scattered Data Interpolation 
    Ali, Fatin Amani Mohd; Karim, Samsul Ariffin Abdul; Saaban, Azizan; Hasan, Mohammad Khatim; Ghaffar, Abdul; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru (MDPI AG, 2020-02-01)
    This paper discusses scattered data interpolation by using cubic Timmer triangular patches. In order to achieve C1 continuity everywhere, we impose a rational corrected scheme that results from convex combination between ...
  • Construction of New Cubic Bézier-Like Triangular Patches With Application in Scattered Data İnterpolation 
    Karim, Samsul Ariffin Abdul; Saaban, Azizan; Skala, Vaclav; Ghaffar, Abdul; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru (Springer, 2020-12-01)
    This paper discusses the functional scattered data interpolation to interpolate the general scattered data. Compared with the previous works, we construct a new cubic Bézier-like triangular basis function controlled by ...
  • Family of odd point non-stationary subdivision schemes and their applications 
    Ghaffar, Abdul; Ullah, Zafar; Bari, Mehwish; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru (Springer Open, 2019-05-06)
    The (2s-1)-point non-stationary binary subdivision schemes (SSs) for curve design are introduced for any integer s2. The Lagrange polynomials are used to construct a new family of schemes that can reproduce polynomials of ...
  • Generalized 5-Point Approximating Subdivision Scheme of Varying Arity 
    Hussain, Sardar Muhammad; Rehman, Aziz Ur; Baleanu, Dumitru; Nisar, Kottakkaran Sooppy; Ghaffar, Abdul; Abdul Karim, Samsul Ariffin (2020-04)
    The Subdivision Schemes (SSs) have been the heart of Computer Aided Geometric Design (CAGD) almost from its origin, and various analyses of SSs have been conducted. SSs are commonly used in CAGD and several methods have ...
  • Multidimensional fixed points in generalized distance spaces 
    Rashid, Maliha; Bibi, Rabia; Kalsoom, Amna; Baleanu, Dumitru; Ghaffar, Abdul; Nisar, Kottakkaran Sooppy (2020-10-12)
    The main aim of this paper is to study distance spaces, to provide some useful remarks with examples regarding distance spaces, and to establish multiple fixed point results for aC-distance space in the presence of different ...
  • Numerical Analysis of Fluid Forces for Flow Past a Square Rod with Detached Dual Control Rods at Various Gap Spacing 
    Manzoor, Raheela; Ghaffar, Abdul; Baleanu, Dumitru; Nisar, Kottakkaran Sooppy (2020-01)
    A two-dimensional numerical study was conducted for flow past a square rod in the presence of two control rods. One is placed vertically in the upstream direction and the second one is placed horizontally in the downstream ...
  • Numerical Solution of the Boundary Value Problems Arising in Magnetic Fields and Cylindrical Shells 
    Khalid, Aasma; Naeem, Muhammad Nawaz; Ullah, Zafar; Ghaffar, Abdul; Baleanu, Dumitru; Nisar, Kottakkaran Sooppy; (Al-Qurashi, Maysaa M. (MDPI, 2019-06)
    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 ...
  • Periodic Solutions of Some Classes of One Dimensional Non-autonomous Equation 
    Akram, Saima; Nawaz, Allah; Yasmin, Nusrat; Ghaffar, Abdul; Baleanu, Dumitru; Nisar, Kottakkaran Sooppy (2020-09-15)
    In this paper, the periodic solutions of a certain one-dimensional differential equation are investigated for the first order cubic non-autonomous equation. The method used here is the bifurcation of periodic solutions ...
  • Positivity preserving interpolation by using rational quartic spline 
    Harim, Noor Adilla; Karim, Samsul Ariffin Abdul; Othman, Mahmod; Saaban, Azizan; Ghaffar, Abdul; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru (2020)
    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 ...
  • Shape-Preserving Properties of a Relaxed Four-Point Interpolating Subdivision Scheme 
    Ashraf, Pakeeza; Ghaffar, Abdul; Baleanu, Dumitru; Sehar, Irem; Nisar, Kottakkaran Sooppy; Khan, Faheem (2020-05)
    In this paper, we analyze shape-preserving behavior of a relaxed four-point binary interpolating subdivision scheme. These shape-preserving properties include positivity-preserving, monotonicity-preserving and convexity- ...
  • Solutions of BVPs arising in hydrodynamic and magnetohydro-dynamic stability theory using polynomial and non-polynomial splines 
    Khalid, Aasma; Ghaffar, Abdul; Naeem, M. Nawaz; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru (2021-02)
    This paper describes the exceptionally precise results of 6th-order and 8th-order nonlinear boundary-value problems(BVPs). Cubic-Nonpolynomial spline(CNPS) and Cubic-polynomial spline(CNPS) are utilized to solve such types ...