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    Asymptotic and Numerical Methods in Estimating Eigenvalues
    (HINDAWI PUBLISHING CORPORATION, 2013) Yildiz, Guldem; Yilmaz, Bulent; Veliev, O. A.
    Asymptotic formulas and numerical estimations for eigenvalues of SturmLiouville problems having singular potential functions, with Dirichlet boundary conditions, are obtained. This study gives a comparison between the eigenvalues obtained by the asymptotic and the numerical methods.
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    New exact solutions of a nonlinear integrable equation
    (Wiley, 2020) Yildiz, Guldem; Daghan, Durmus
    Analytic solutions of the partial differential equations are needed to explain many phenomena seen in thermodynamics, aerodynamics, plasma physics, and other fields. In this paper, variational principle is analyzed of the integrable nonlinear Korteweg-de Vries (KdV) typed equation. In addition, exact solutions of this equation are obtained by using various methods such as direct integration, homogeneous balance method, Exp-function method, and Kudryashov method.
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    Single phase flow of nanofluid including graphite and water in a microchannel (vol 56, 1, 2020)
    (Springer, 2020) Yildiz, Oguzhan; Acikgoz, Ozgen; Yildiz, Guldem; Bayrak, Mustafa; Dalkilic, Ahmet Selim; Wongwises, Somchai
    [Abstract Not Available]