Toplam kayıt 9, listelenen: 1-9

    • Cisim genişlemeleri hakkında 

      Uçar, Mehmet Fatih (İstanbul Kültür Üniversitesi / Fen Bilimleri Enstitüsü / Matematik Bilgisayar Anabilim Dalı, 2007-06)
      Bu çalışmada amaç, Galois Teorisinin temellerini oluşturan, cisim genişlemeleri teorisini ayrıntılı bir şekilde vermek ve Galois Teorisine bir giriş yapmaktır. Bu amaç doğrultusunda I. Bölümde, cisim teorisinin tarihsel ...
    • Finite Element Method For The Solution Of A Time-Dependent Heat-Like Lane-Emden Equation 

      Uçar, Mehmet Fatih (2018)
      In this study, finite element method (FEM) with Galerkin Formula is applied to find the numerical solution of a time-dependent heat-like Lane-Emden equation. An example is solved to assess the accuracy of the method. The ...
    • Galerkin Method For Fractional Diffusion Equation 

      Uçar, Mehmet Fatih; Çağlar, Hikmet (2016-11)
      The one-dimensional fractional diffusion equation is studied systematically using the Galerkin method. The Caputo fractional derivative is used for formulation. An example is solved to assess the accuracy of the method. ...
    • Kesirli kısmi türevli diferensiyel denklemlerin sayısal çözümleri 

      Uçar, Mehmet Fatih (İstanbul Kültür Üniversitesi / Fen Bilimleri Enstitüsü / Matematik Bilgisayar Anabilim Dalı, 2012-02)
      Çalışmada kesirli türevli diferansiyel denklem sistemlerinin ve kesirli kısmi türevli diferansiyel denklemlerin nümerik çözümü ele alınmıştır. Bu diferansiyel denklemlerin nümerik olarak çözümünde non-polynomial spline ve ...
    • Non-Polynomial Spline Method For A Singularly Perturbed Convection-Dominated Diffusion Equation 

      Çağlar, Hikmet; Uçar, Mehmet Fatih; Yıldırım, Mesut (Int Scientific Conference Sgem, 14, Kilment Ohridsky Blvd, Sofia, 1797, Bulgaria, 2010)
      In this study, a singularly perturbed convection-dominated diffusion equation is solved by using a non-polynomial spline method. An example is solved to assess the accuracy of the method. The numerical results are obtained ...
    • Non-Polynomial Spline Method for a Time-Dependent Heat-Like Lane- Emden Equation 

      Uçar, Mehmet Fatih; Çağlar, Süleyman Hikmet (Polish Acad Sciences inst Physics, Al Lotnikow 32-46, Pl-02-668 Warsaw, Poland, 2012-01)
      In this study, a time-dependent heat-like Lane-Emden equation is solved by using a non-polynomial spline method. An example is solved to assess the accuracy of the method. The numerical results are obtained for different ...
    • Non-Polynomial Spline Method for Fractional Diffusion Equation 

      Çağlar, Süleyman Hikmet; Çağlar, Hatice Nazan; Uçar, Mehmet Fatih; Akkoyunlu, Canan (Eudoxus Press, Llc, 1424 Beaver Trail Drive, Cordova, Tn 38016 Usa, 2012-11)
      The one-dimensional fractional diffusion equation is studied systematically using the non-polynomial spline method. The Caputo fractional derivative is used for formulation. An example is solved to assess the accuracy of ...
    • Non-polynomial Spline Method for the Solution of Non-linear Burgers' Equation 

      Çağlar, Süleyman Hikmet; Uçar, Mehmet Fatih (Springer-Verlag Berlin, Heidelberger Platz 3, D-14197 Berlin, Germany, 2013)
      A non-polynomial cubic spline method is proposed in this paper to solve one-dimensional non-linear Burgers' equation [Burger, A Mathematical Model Illustrating the Theory of Turbulence (1948); Rashidinia and Mohammadi, ...
    • Non-polynomial Spline Method for the Solution of Non-linear Burgers’ Equation 

      Uçar, Mehmet Fatih; Çağlar, Süleyman Hikmet (2010)