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Gabil M. Amiraliyev

Researcher at Erzincan University

Publications -  54
Citations -  822

Gabil M. Amiraliyev is an academic researcher from Erzincan University. The author has contributed to research in topics: Singular perturbation & Numerical analysis. The author has an hindex of 16, co-authored 49 publications receiving 586 citations. Previous affiliations of Gabil M. Amiraliyev include Sinop University & Yüzüncü Yıl University.

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Numerical method for a singularly perturbed convection–diffusion problem with delay

TL;DR: It is shown that one gets first order convergence in the discrete maximum norm, independently of the perturbation parameter, in the singularly perturbed boundary value problem for a linear second-order delay differential equation.
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Uniform numerical method for singularly perturbed delay differential equations

TL;DR: A numerical method is constructed for this problem which involves an appropriate piecewise-uniform mesh on each time subinterval and the difference scheme is shown to converge to the continuous solution uniformly with respect to the perturbation parameter.
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A uniform numerical method for dealing with a singularly perturbed delay initial value problem

TL;DR: An exponentially fitted difference scheme is constructed, in an equidistant mesh, which gives first-order uniform convergence in the discrete maximum norm.
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A finite-difference method for a singularly perturbed delay integro-differential equation

TL;DR: The purpose is to construct and analyse a numerical method with uniform convergence in the perturbation parameter for a linear first order Volterra integro-differential equation with delay using implicit difference rules for differential part and composite numerical quadrature rules for integral part.
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A note on a parameterized singular perturbation problem

TL;DR: In this paper, a uniform finite difference method on Shishkin mesh for a quasilinear first-order singularly perturbed boundary value problem (BVP) depending on a parameter is considered.