Yazar "Khan, Yasir" seçeneğine göre listele

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    A Homotopy Perturbation Solution for Solving Highly Nonlinear Fluid Flow Problem Arising in Mechanical Engineering
    (Amer Inst Physics, 2018) Khan, Yasir; Akgul, Ali; Faraz, Naeem; Inc, Mustafa; Akgul, Esra Karatas; Baleanu, Dumitru
    In this paper, a highly nonlinear equations are treated analytically via homotopy perturbation method for fluid mechanics problem. The non-linear differential equations are transformed to a coupled non-linear ordinary, differential equations via similarity transformations. Graphical results are presented and discussed for various physical parameters.
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    A novel simulation methodology of fractional order nuclear science model
    (Wiley, 2017) Akguel, Ali; Khan, Yasir
    In this paper, a novel simulation methodology based on the reproducing kernels is proposed for solving the fractional order integro-differential transport model for a nuclear reactor. The analysis carried out in this paper thus forms a crucial step in the process of development of fractional calculus as well as nuclear science models. The fractional derivative is described in the Captuo Riemann-Liouville sense. Results are presented graphically and in tabulated forms to study the efficiency and accuracy of method. The present scheme is very simple, effective, and appropriate for obtaining numerical simulation of nuclear science models. Copyright (c) 2017 John Wiley & Sons, Ltd.
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    ANALYTIC APPROXIMATE SOLUTIONS FOR FLUID-FLOW IN THE PRESENCE OF HEAT AND MASS TRANSFER
    (Vinca Inst Nuclear Sci, 2018) Kilicman, Adem; Khan, Yasir; Akgul, Ali; Faraz, Naeem; Akgul, Esra Karatas; Inc, Mustafa
    This paper outlines a comprehensive study of the fluid-flow in the presence of heat and mass transfer. The governing non-linear ODE are solved by means of the homotopy perturbation method. A comparison of the present solution is also made with the existing solution and excellent agreement is observed. The implementation of homotopy perturbation method proved to be extremely effective and highly suitable. The solution procedure explicitly elucidates the remarkable accuracy of the proposed algorithm.
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    Comparison on Solving a Class of Nonlinear Systems of Partial Differential Equations and Multiple Solutions of Second Order Differential Equations
    (Springer International Publishing Ag, 2019) Akgul, Ali; Akgul, Esra Karatas; Khan, Yasir; Baleanu, Dumitru
    [Abstract Not Available]
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    On Solutions of Higher Order Boundary Value Problems
    (Amer Scientific Publishers, 2017) Akgul, Ali; Khan, Yasir
    In this paper we present the reproducing kernel Hilbert space method (RKHSM) to higher order differential equations. In order to illustrate the applicability and accuracy of the present method, the method is applied to some specific examples. Approximate solutions are demonstrated by Results of numerical examples show that the presented method is very effective.
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    Representation for the reproducing kernel Hilbert space method for a nonlinear system
    (Hacettepe Univ, Fac Sci, 2019) Akgul, Esra Karatas; Akgul, Ali; Khan, Yasir; Baleanu, Dumitru
    We apply the reproducing kernel Hilbert space method to a nonlinear system in this work. We utilize this technique to overcome the nonlinearity of the problem. We obtain accurate results. We demonstrate our results by tables and figures. We prove the efficiency of the method.
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    Solutions of nonlinear systems by reproducing kernel method
    (Int Scientific Research Publications, 2017) Akgul, Ali; Khan, Yasir; Akgul, Esra Karatas; Baleanu, Dumitru; Al Qurashi, Maysaa Mohamed
    A novel approximate solution is obtained for viscoelastic fluid model by reproducing kernel method (RKM). The resulting equation for viscoelastic fluid with magneto-hydrodynamic flow is transformed to the nonlinear system by introducing the dimensionless variables. Results are presented graphically to study the efficiency and accuracy of the reproducing kernel method. Results show that this method namely RKM is an efficient method for solving nonlinear system in any engineering field. (C) 2017 All rights reserved.
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    Solving the Nonlinear System of Third-Order Boundary Value Problems
    (Springer International Publishing Ag, 2019) Akgul, Ali; Akgul, Esra Karatas; Khan, Yasir; Baleanu, Dumitru
    [Abstract Not Available]
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    Two Dimensional Laplace Transform Coupled with the Marichev-Saigo-Maeda Integral Operator and the Generalized Incomplete Hypergeometric Function
    (Mdpi, 2021) Khan, Yasir; Khan, Adnan; Shaeel, Muhammad; Akguel, Ali
    This paper represents the processing of the two-dimensional Laplace transform with the two-dimensional Marichev-Saigo-Maeda integral operators and two-dimensional incomplete hypergeometric function. This article provides an entirely new perspective on the Marichev-Saigo-Maeda operators and incomplete functions. In addition, we have included some interesting results, such as left-sided Saigo-Maeda operators and right-sided Saigo-Maeda operators, making this a good direction for symmetry analysis.