Yazar "Amiraliyeva, I. G." seçeneğine göre listele

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    A uniform numerical method for dealing with a singularly perturbed delay initial value problem
    (Pergamon-Elsevier Science Ltd, 2010) Amiraliyeva, I. G.; Erdogan, F.; Amiraliyev, G. M.
    This work deals with a singularly perturbed initial value problem fora quasi-linear second-order delay differential equation. An exponentially fitted difference scheme is constructed, in an equidistant mesh, which gives first-order uniform convergence in the discrete maximum norm. Numerical results are also presented. (C) 2010 Elsevier Ltd. All rights reserved.
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    Öğe
    NUMERICAL METHOD FOR A SINGULARLY PERTURBED DIFFERENTIAL SYSTEM
    (Editura Acad Romane, 2013) Amiraliyeva, I. G.
    A second-order accurate difference scheme is developed to solve Boussinesq system. For the time integration, a Crank-Nicolson type scheme is used. The error estimates for the numerical solution are obtained. Numerical results are also presented.
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    Öğe
    Uniform difference method for parameterized singularly perturbed delay differential equations
    (Springer, 2009) Amiraliyeva, I. G.; Amiraliyev, G. M.
    This paper deals with the singularly perturbed initial value problem for quasilinear first-order delay differential equation depending on a parameter. A numerical method is constructed for this problem which involves an appropriate piecewise-uniform meshes on each time subinterval. The difference scheme is shown to converge to the continuous solution uniformly with respect to the perturbation parameter. Some numerical experiments illustrate in practice the result of convergence proved theoretically.