Yazar "Aksan, EN" seçeneğine göre listele

Listeleniyor 1 - 6 / 6
  • Küçük Resim Yok
    Öğe
    A finite element approach for solution of Burgers' equation
    (Elsevier Science Inc, 2003) Özis, T; Aksan, EN; Özdes, A
    In this study, for the Burgers' equation which is used a model problem in turbulence and shock wave theory was given a finite element solution. Considering the numerical results obtained for different values of viscosity compared with Cole's analytical solution, it was seen that they were in good agreement. (C) 2002 Published by Elsevier Science Inc.
  • Küçük Resim Yok
    Öğe
    A numerical solution of Burgers' equation
    (Elsevier Science Inc, 2004) Aksan, EN; Özdes, A
    In this paper, the Burgers' equation which is one-dimensional quasi-linear parabolic partial differential equation was solved by a variational method constructed on the method of discretization in time. The numerical results obtained by these ways for various values of viscosity have been compared with the exact solution. It was seen that they were in good agreement with each other. (C) 2003 Elsevier Inc. All rights reserved.
  • Küçük Resim Yok
    Öğe
    A numerical solution of Burgers' equation by finite element method constructed on the method of discretization in time
    (Elsevier Science Inc, 2005) Aksan, EN
    In this paper, the Galerkin finite element method constructed on the method of discretization in time was applied to solve the one-dimensional nonlinear Burgers' equation. The system of nonlinear equations obtained for each time step was solved by using the Newton method. In order to show the efficiency of the presented method, the numerical solutions obtained for various values of viscosity were compared with the exact solutions. It was seen that they were in excellent agreement. (c) 2005 Elsevier Inc. All rights reserved.
  • Küçük Resim Yok
    Öğe
    Numerical solution of Korteweg-de Vries equation by Galerkin B-spline finite element method
    (Elsevier Science Inc, 2006) Aksan, EN; Özdes, A
    A finite element solution of the KdV equation is presented. To demonstrate the efficiency of the method two test problems are considered. The numerical solutions of the KdV equation are compared with both the exact solutions and other numerical solutions in the literature. The numerical solutions are found to be in good agreement with the exact solutions. (c) 2005 Elsevier Inc. All rights reserved.
  • Küçük Resim Yok
    Öğe
    Quadratic B-spline finite element method for numerical solution of the Burgers' equation
    (Elsevier Science Inc, 2006) Aksan, EN
    In this paper, the one-dimensional nonlinear Burgers' equation was converted to a set of nonlinear ordinary differential equations by the method of discretization in time and then each of them was solved by applying the quadratic B-spline finite element method. In order to show the efficiency of the presented method two problems were considered. The numerical solutions obtained for various values of viscosity were compared with the exact solutions. It is seen that the results obtained by this way are quite satisfactory. (c) 2005 Elsevier Inc. All rights reserved.
  • Küçük Resim Yok
    Öğe
    A variational approximation to the problem of the deflection of a bar
    (Elsevier Science Inc, 2004) Aksan, EN; Özdes, A; Esen, A
    In this paper, a mathematical modelling of the deflection of a bar lying on an elastic medium. It was shown that results obtained were reasonably in good agreement with Ritz solution. (C) 2003 Elsevier Inc. All rights reserved.