Now showing items 1-3 of 3

    • B-Spline Solution and the Chaotic Dynamics of Troesch's Problem 

      Çağlar, Süleyman Hikmet; Çağlar, Hatice Nazan; Özer, Mehmet (Polish Acad Sciences Inst Physics, Al Lotnikow 32-46, Pl-02-668 Warsaw, Poland, 2014-02)
      A B-spline method is presented for solving the Troesch problem. The numerical approximations to the solution are calculated and then their behavior is studied and commenced. The chaotic dynamics exhibited by the solutions ...
    • B-Spline Solution for a Convection-Diffusion Equation 

      Çağlar, Süleyman Hikmet; Çağlar, Hatice Nazan; Özer, Mehmet (Polish Acad Sciences Inst Physics, Al Lotnikow 32-46, Pl-02-668 Warsaw, Poland, 2014-02)
      This paper is concerned with the numerical solution of the convection diffusion problems. A family of B-spline methods has been considered for the numerical solution of the problems. The results showed that the present ...
    • The Numerical Solution of Fractional Diffusion Equation by Using Local Polynomial Regression 

      Çağlar, Süleyman Hikmet; Çağlar, Hatice Nazan; Özer, Mehmet (Polish Acad Sciences Inst Physics, Al Lotnikow 32-46, Pl-02-668 Warsaw, Poland, 2014-02)
      In this paper, we apply the local polynomial regression for the solution of the one-dimensional fractional diffusion equation. The Caputo fractional derivative is used for the formulation. A numerical example is given to ...