Scopus İndeksli Yayınlar Koleksiyonu

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

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Author: search.filters.author.Ghaffar, Abdul

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  • Article
    Shape-Preserving Properties of a Relaxed Four-Point Interpolating Subdivision Scheme
    (MDPI AG, 2020) Baleanu, Dumitru; Nisar, Kottakkaran Sooppy; Ghaffar, Abdul; Khan, Faheem; Ashraf, Pakeeza; Sehar, Irem
  • Article
    Numerical Analysis of Fluid Forces for Flow Past a Square Rod with Detached Dual Control Rods at Various Gap Spacing
    (MDPI AG, 2020) Baleanu, Dumitru; Nisar, Kottakkaran Sooppy; Ghaffar, Abdul; Manzoor, Raheela
  • Article
    A Novel Numerical Algorithm to Estimate the Subdivision Depth of Binary Subdivision Schemes
    (MDPI AG, 2020) Mustafa, Ghulam; Baleanu, Dumitru; Shahzad, Aamir; Nisar, Kottakkaran Sooppy; Ghaffar, Abdul; Khan, Faheem
  • Article
    Citation - WoS: 2
    Citation - Scopus: 2
    Standard Routine Techniques of Modeling of Tick-Borne Encephalitis
    (de Gruyter Poland Sp Z O O, 2020) Arooj, Aroosa; Yasmin, Nusrat; Ghaffar, Abdul; Baleanu, Dumitru; Nisar, Kottakkaran Sooppy; Khan, Ilyas; Akram, Saima
    Tick-borne encephalitis (TBE) is a flaviviral vector-borne disease, which is spread by a tick named Ixodes persulcatus in domestic animals as well as in humans. In this article, susceptible, exposed, infected, recovered model; with no immunity after getting recovered is taken. The only possible immunity is before getting the disease (in our model). The vaccination details are also discussed in the article. Hence, SEIS (susceptible, exposed, infected and again susceptible with zero removal from the specie compartment) is used to construct a mathematical model of TBE. TBE is acute inflammation of the brain parenchyma. After becoming viral in European states and some Asian countries, especially in China, this is an emerging viral disease in Pakistan. After constructing a model, formula for the basic reproduction number R-0-like threshold has been derived by using the next-generation matrix method. The formula for R-0-like threshold is used to evaluate whether the disease is going to be outbroken in the respective area from which the specific data are taken into consideration. The main motivation behind selection of this topic is to address the unawareness of this disease specifically in Pakistan and in its neighboring countries when there persists probability for the outbreak of this disease. Some equilibrium points and their local stability is also discussed. Numerical computations and graphs are also presented to validate the results.
  • Article
    Citation - WoS: 23
    Citation - Scopus: 31
    Solutions of Bvps Arising in Hydrodynamic and Magnetohydro-Dynamic Stability Theory Using Polynomial and Non-Polynomial Splines
    (Elsevier, 2021) Ghaffar, Abdul; Naeem, M. Nawaz; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru; Khalid, Aasma
    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 of BVPs. We develop the class of numerical techniques for a particular selection of the factors that are associated with nonpolynomial and polynomial splines. Using the developed class of numerical techniques, the problem is reduced to a new system that consists of 2nd-order BVPs only. The end conditions associated with the BVPs are determined. For each problem, the results obtained by CNPS and CPS is compared with the exact solution. The absolute error(AE) for every iteration is calculated. To show that the suitable responses established by using CNPS and CPS have a higher level of preciseness, the absolute errors of the CNPS and CPS have been compared with different techniques such as DTM, ADM, Parametric septic splines, Variational-iteration method(VIM), Daftardar Jafari strategy, MDM, Cubic B-Spline, Homotopy method(HM), Quintic and Sextic B-spline and observed to be more accurate. Graphs that describe the graphical comparison of CNPS and CPS at n = 10 are also included in this paper. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.
  • Article
    Citation - WoS: 8
    Citation - Scopus: 11
    Periodic Solutions of Some Classes of One Dimensional Non-Autonomous Equation
    (Frontiers Media Sa, 2020) Nawaz, Allah; Yasmin, Nusrat; Ghaffar, Abdul; Baleanu, Dumitru; Nisar, Kottakkaran Sooppy; Akram, Saima
    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 from a fine focusz= 0. We aimed to find the maximum number of periodic solutions into which a given solution can bifurcate under perturbation of the coefficients. For classesC(3, 8),C-4,C- 3,C-7,C- 5,C-7,C- 6, eight periodic multiplicities have been found. To investigate the multiplicity >9, the formula for the focal value was not available in the literature. We also succeeded in constructing the formula for eta(10). By implementing our newly developed formula, we are able to get multiplicity ten for classesC(7, 3),C-9,C- 1, which is the highest known to date. A perturbation method has been properly established for making the maximal number of limit cycles for each class. Some examples are also presented to show the implementation of the newly developed method. By considering all of these facts, it can be concluded that the presented methods are new, authentic, and novel.
  • Article
    Citation - WoS: 5
    Citation - Scopus: 6
    Multidimensional Fixed Points in Generalized Distance Spaces
    (Springer, 2020) Bibi, Rabia; Kalsoom, Amna; Baleanu, Dumitru; Ghaffar, Abdul; Nisar, Kottakkaran Sooppy; Rashid, Maliha
    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 contractive conditions. This concept allows us to reduce the multidimensional case to a one-dimensional case.
  • Article
    Citation - WoS: 2
    Citation - Scopus: 4
    Construction and Analysis of Unified 4-Point Interpolating Nonstationary Subdivision Surfaces
    (Springer, 2021) Mustafa, Ghulam; Ghaffar, Abdul; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru; Bari, Mehwish
    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 were discovered to connect smooth curves/surfaces generated by SSs to applied geometry. To construct the link between nonstationary SSs and applied geometry, in this paper, we unify the interpolating nonstationary subdivision scheme (INSS) with a tension control parameter, which is considered as a generalization of 4-point binary nonstationary SSs. The proposed scheme produces a limit surface having C1 smoothness. It generates circular images, spirals, or parts of conics, which are important requirements for practical applications in computer graphics and geometric modeling. We also establish the rules for arbitrary topology for extraordinary vertices (valence >= 3). The well-known subdivision Kobbelt scheme (Kobbelt in Comput. Graph. Forum 15(3):409-420, 1996) is a particular case. We can visualize the performance of the unified scheme by taking different values of the tension parameter. It provides an exact reproduction of parametric surfaces and is used in the processing of free-form surfaces in engineering.
  • Article
    Citation - WoS: 4
    Citation - Scopus: 5
    A Shape-Preserving Variant of Lane-Riesenfeld Algorithm
    (Amer inst Mathematical Sciences-aims, 2021) Mustafa, Ghulam; Khan, Husna A.; Baleanu, Dumitru; Ghaffar, Abdul; Nisar, Kottakkaran Sooppy; Ashraf, Pakeeza
    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 convergence and smoothness, Holder continuity, and support size of the limit curves. Furthermore, these schemes produce monotonic and convex curves under the certain conditions imposed on the initial data.
  • Article
    Citation - WoS: 11
    Citation - Scopus: 13
    A Novel Numerical Algorithm To Estimate the Subdivision Depth of Binary Subdivision Schemes
    (Mdpi, 2020) Khan, Faheem; Ghaffar, Abdul; Mustafa, Ghulam; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru; Shahzad, Aamir
    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 the limit curves/surfaces and their control polygons after k-fold subdivisions. In this paper, the proposed numerical algorithm for subdivision depths of binary subdivision curves and surfaces are obtained after some modification of the results given by Mustafa et al in 2006. This algorithm is very useful for implementation of the parametrization.