Yazarlar

  • BildiriAçık Erişim2021
    Solution of Inverse Problem for an Elliptic Equation by Differential Transform Method

    Dedeturk, Mutlu; Cakalli, H.; Kocinac, L.D.R.; Ashyralyev, A.; Harte, R.; Dik, M.; Canak, I.; Kandemir, H.S.; Tez, M.; Gurtug, O.

    In this work, inverse problem for an elliptic equation is studied. We gave a numerical solution of inverse elliptic problem by differential transform method in test example.

  • MakaleYalnız künye2013Scopus SJRQ2
    A multistage variational iteration method for solution of delay differential equations

    Gökdoǧan, Ahmet; Merdan, Mehmet; Ertürk, Vedat Suat

    In this paper, the approximate solution of delay differential equations is obtained by a reliable algorithm based on an adaptation of the classical variational iteration method (VIM), which is called the multi-stage variational iteration method (MSVIM). Examples are carried out and numerical results with comparison to exact solutions, VIM and MATLAB dde23 solver are given. The comparison reveals that the MSVIM is a promising tool to solve delay differential equations.

    AtıfScopus3WoS2OpenAlex4
    İncele
  • MakaleYalnız künye2012Scopus SJRQ1
    A multistage differential transformation method for approximate solution of Hantavirus infection model

    Gökdoĝan, Ahmet; Merdan, Mehmet; Yildirim, Ahmet

    The goal of this study is presented a reliable algorithm based on the standard differential transformation method (DTM), which is called the multi-stage differential transformation method (MsDTM) for solving Hantavirus infection model. The results obtanied by using MsDTM are compared to those obtained by using the Runge-Kutta method (R-K-method). The proposed technique is a hopeful tool to solving for a long time intervals in this kind of systems.

    AtıfScopus52WoS41OpenAlex54
    İncele
  • MakaleYalnız künye2012
    A multistage variational iteration method for approximateanalytic solution of avian-human influenza epidemic model

    Gökdoǧan, Ahmet; Merdan, Mehmet; Ertürk, Vedat Suat

    In this paper, the approximate solution of avian-human influenza epidemic model is obtained by a reliable algorithm based on an adaptation of the standard variational iteration method (VIM), which is called the multi-stage variational iteration method (MVIM). A comparison between MVIM and the Runge-Kutta method (RK-method) reveals that the proposed technique is a promising tool to solve the considered problem.

    AtıfScopus1WoS1
    İncele
  • MakaleYalnız künye2011Scopus SJRQ2
    An approximate solution of a model for HIV infection of CD4+ T cells

    Merdan, M.; Gokdogan, A.; Erturk, V.S.

    In this paper, the approximate solution of the differential system modeling HIV infection of CD4+ T cells is obtained by a reliable algorithm based on an adaptation of the standard variational iteration method (VIM), which is called the multi-stage variational iteration method(MSVIM). A comparison between MSVIM and the fourthorder Runge-Kutta method (RK4-method) reveal that the proposed technique is a promising tool to solve the considered problem.

    AtıfScopus14WoS13
    İncele
  • MakaleYalnız künye2010Scopus SJRQ2
    Numerical analysis of entropy generation in concentric curved annular ducts

    Kucuk, Haydar

    The entropy generation has been numerically investigated in concentric curved annular square ducts under constant wall temperature boundary condition. The problem has been assumed to be steady, hydrodynamically and thermally fully developed and incompressible laminar flow with constant physical properties. The solutions of discretized equations for continuity, momentum and energy have been obtained by using an elliptic Fortran Program based on the SIMPLE algorithm. Solutions have been achieved for i) Dean numbers ranging from 3.6 to 207.1, ii) Annulus dimension ratios of 5.5, 3.8, 2.9 and 2.36, and iii) Prandtl number of 0.7. In this regard, local entropy generation as well as overall entropy generation in the whole flow field has been analyzed in detail. Moreover, the effects of Dean number and annulus dimension ratio on entropy generation arising from the friction and heat transfer have been investigated. Accordingly, it is concluded that the effect of volumetric entropy generation that is a result of fluid frictional irreversibility can be neglected as compared with volumetric entropy generation due to heat transfer irreversibility. As Dean number increases, the distribution of volumetric entropy generation coming out from the heat transfer irreversibility is formed by the temperature field, which is depending on the curvature.

    AtıfScopus19WoS17OpenAlex21
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