Yazar "Inc, M." seçeneğine göre listele

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    A Numerical Investigation on Burgers Equation by MOL-GPS Method
    (Amer Scientific Publishers, 2017) Hashemi, M. S.; Inc, M.; Karatas, E.; Akgul, A.
    Group preserving scheme for calculating the numerical solutions of the Burgers equation with appropriate boundary and initial conditions is given in this work. Approximate solutions are demonstrated by tables and figures. Numerical results present the efficiency and power of this technique.
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    Constructing two powerful methods to solve the Thomas-Fermi equation
    (Springer, 2017) Akgul, A.; Hashemi, M. S.; Inc, M.; Raheem, S. A.
    We implement the reproducing kernel method and SL(2, R)-shooting method to solve the Thomas-Fermi equation. Powerful techniques are demonstrated by reproducing kernel functions. The reliable numerical approximations to the solution of this equation are calculated by two novel approaches whose results are in good agreement. Numerical results are shown in order to prove the certainty of the techniques.
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    New Optical Solitons for Time Fractional Coupled Zakharov Equations
    (Springer, 2022) Inc, M.; Ouahid, L.; Owyed, S.; Abdou, M.A.; Abdel-Baset, A.M.; Akgül, A.
    Here, new methods called the expa function and Kudryashov methods are implemented to obtain the analytical solutions of the fractional Zakharov system. The techniques have been taken to execute this aim in a straightforward method. A vast variety of the apparent exact solutions are obtained. Simulations have been demonstrated to prove the efficiency of the proposed techniques. © 2022, The Author(s), under exclusive licence to Springer Nature India Private Limited.
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    Nonlinear Self-Adjointness and Nonclassical Solutions of a Population Model with Variable Coefficients
    (Amer Scientific Publishers, 2018) Hashemi, M. S.; Inc, M.; Akgul, A.; Baleanu, D.
    In this work, the size-structured population model with variable coefficients is considered to construct the exact solutions with nonclassical symmetries in the light of the heir equations. Nonlinear self-adjointness is shown and conservation laws are calculated too. Some scientific theorems have been given in this paper.
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    Numerical appraisal of the unsteady Casson fluid flow through Finite Element Method (FEM)
    (Sharif Univ Technology, 2023) Khader, M. M.; Inc, M.; Akgul, A.
    The current study proposes an efficient numerical method to evaluate the effects of the variable heat flux, viscous dissipation, and slip velocity on the viscous Casson Heat Transfer (CHT), considering the unsteady stretching sheet that took into account the effect of heat generation or absorption. In this respect, Finite Element Method (FEM) was employed to solve the resulting ODEs that described the problem. The effects of the factors governing the HT such as unsteadiness parameter, slip velocity parameter, Casson parameter, local Eckert number, heat generation parameter, and Prandtl number were studied. In addition, the local skin friction coefficient and local Nusselt number on the stretching sheet were also computed. Finally, the obtained solutions confirmed that the proposed procedure could be an easy and efficient tool for finding a solution to such fluid models. (c) 2023 Sharif University of Technology. All rights reserved.