Yazar "Hashemi, M. S." 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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    Invariant Investigation on the System of Hirota-Satsuma Coupled KdV Equation
    (Amer Inst Physics, 2018) Hashemi, M. S.; Balmeh, Z.; Akgul, A.; Akgul, E. K.; Baleanu, D.
    We show how invariant subspace method can be extended to the system time fractional differential equations and construct their exact solutions. Effectiveness of the method has been illustrated by the time fractional Hirota-Satsuma Coupled KdV(HSCKdV) equation.
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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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    On the MHD boundary layer flow with diffusion and chemical reaction over a porous flat plate with suction/blowing: two reliable methods
    (Springer, 2021) Hashemi, M. S.; Akgul, A.
    In this paper, a Lie-group integrator based on GL4(R) and the reproducing kernel functions has been constructed to investigate the flow characteristics in an electrically conducting second-grade fluid over a stretching sheet. Accurate initial values can be achieved when the target equation is matched precisely, and then, we can apply the group preserving scheme (GPS) to get a rather accurate results. On the other hand, the reproducing kernel method (RKM) is successfully applied to the underlying equation with convergence analysis. We show exact and approximate solutions by series in the reproducing kernel space. We use a bounded linear operator in the reproducing kernel space to get the solutions by the reproducing kernel method. Comparison of these two methods demonstrates the power and reliability. Finally, effects of magnetic parameter, viscoelastic parameter, stagnation-point flow, and stretching of the sheet parameters are illustrated.
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    Solitary wave solutions of time-space nonlinear fractional Schrodinger's equation: Two analytical approaches
    (Elsevier Science Bv, 2018) Hashemi, M. S.; Akgul, Ali
    This paper obtains analytical solution of nonlinear Schrodinger equation in both time and space fractional terms. Two analytical approaches, Nucci's reduction method and simplest equation method are utilized to extract analytical solutions specially of soliton kinds. The Kerr law, power law, parabolic law, dual-power law and log law nonlinearities are considered separately. (C) 2017 Elsevier B.V. All rights reserved.