Yazar "Amiraliyev, Gabil M." seçeneğine göre listele

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    A Numerical Method for a Singularly Perturbed Three-Point Boundary Value Problem
    (Hindawi Ltd, 2010) Cakir, Musa; Amiraliyev, Gabil M.
    The purpose of this paper is to present a uniform finite difference method for numerical solution of nonlinear singularly perturbed convection-diffusion problem with nonlocal and third type boundary conditions. The numerical method is constructed on piecewise uniform Shishkin type mesh. The method is shown to be convergent, uniformly in the diffusion parameter epsilon, of first order in the discrete maximum norm. Some numerical experiments illustrate in practice the result of convergence proved theoretically.
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    Asymptotic Bounds for the Time-Periodic Solutions to the Singularly Perturbed Ordinary Differential Equations
    (The Scientific World Journal, 2013) Amiraliyev, Gabil M.; Uçar, Ayşenur
    The periodical in time problem for singularly perturbed second order linear ordinary differential equation is considered. The boundary layer behavior of the solution and its first and second derivatives have been established. An example supporting the theoretical analysis is presented.
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    Error Estimates for Differential Difference Schemes to Pseudo-Parabolic Initial-Boundary Value Problem With Delay
    (Mathematical and Computational Applications, 2013) Amiraliyev, Gabil M.; Okçu, Pınar
    We consider the one dimensional initial-boundary Sobolev problem with delay. For solving this problem numerically, we construct fourth order differential-difference scheme and obtain the error estimate for its solution. Further we use the appropriate Runge- Kutta method for the realization of our differential-difference problem.
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    Fitted finite difference method for singularly perturbed delay differential equations
    (Springer, 2012) Erdogan, Fevzi; Amiraliyev, Gabil M.
    This paper deals with singularly perturbed initial value problem for 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. The difference scheme is shown to be uniformly convergent to the continuous solution with respect to the perturbation parameter. A numerical example is solved using the presented method and compared the computed result with exact solution of the problem.
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    Numerical method for a singularly perturbed convection-diffusion problem with delay
    (Elsevier Science Inc, 2010) Amiraliyev, Gabil M.; Cimen, Erkan
    This paper deals with the singularly perturbed boundary value problem for a linear second-order delay differential equation. For the numerical solution of this problem, we use an exponentially fitted difference scheme on a uniform mesh which is accomplished by the method of integral identities with the use of exponential basis functions and interpolating quadrature rules with weight and remainder term in integral form. It is shown that one gets first order convergence in the discrete maximum norm, independently of the perturbation parameter. Numerical results are presented which illustrate the theoretical results. (C) 2010 Elsevier Inc. All rights reserved.