Yazar "Brahim, Nouiri" seçeneğine göre listele

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    Analytical solution for the conformable fractional telegraph equation by fourier method
    (Maltepe Üniversitesi, 2019) Saad, Abdelkebir; Brahim, Nouiri
    In this paper, the Fourier method is effectively implemented for solving a conformable fractional telegraph equation. We discuss and derive the analytical solution of the conformable fractional telegraph equation with three kinds of nonhomogeneous boundary conditions, namely, Dirichlet, Neumann and Robin boundary conditions.
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    An inverse diffusion-wave problem defined in heterogeneous medium with additional boundary measurement
    (Maltepe Üniversitesi, 2019) Brahim, Nouiri; Khayra, Djerioui
    This talk deals an inverse problem to determine a space-dependent coefficient in a one-dimensional time fractional diffusion-wave equation defined in heterogeneous medium with additional boundary measurement. We construct the finite difference scheme for the direct problem based on the equivalent partial integrodifferential equation. Under the weak smoothness conditions, we prove that our scheme is stable and convergent using the matrix analysis. Based on the least squares method with Tikhonov regularization is introduced to determine the space-dependent coefficient, and an inversion algorithm is performed by two numerical examples. This inversion algorithm is effective at least for this inverse problem.
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    Numerical approach of the nonlinear reaction-advection-diffusion equation with time-space conformable fractional derivatives
    (Maltepe Üniversitesi, 2021) Brahim, Nouiri
    In this paper, a numerical approach is proposed for solving one dimensional nonlinear time-space-fractional reactionadvection-diffusion equation with Dirichlet boundary conditions. The fractional derivatives are described in the conformable sense. The numerical scheme is based on shifted Chebyshev polynomials of the fourth kind. The unknown function is written as Chebyshev series with m terms. The nonlinear space fractional reaction-advection-diffusion equation is reduced to a system of nonlinear ordinary differential equations by using the properties of Chebyshev polynomials and conformable fractional calculus.The finite difference method is applied to solve this system. Finally, numerical example is presented to confirm the reliability and effectiveness of the proposed approach.
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    A Quasistatic contact problem with slip dependent friction for linear elastic materials
    (Maltepe Üniversitesi, 2009) Brahim, Nouiri; Benyattou, Benabderrahmane
    We consider a mathematical model describing the contact with friction between a deformable body and a foundation. We use a linear elastic constitutive law. The contact takes into account the effects of friction, which are modelled with the slip dependent friction law. We derive a variational formulation of the problem and establish the existence of a weak solution under a smallness assumption of the friction coefficient. The proof is based on arguments of compactness, lower semicontinuity and time discretization.