DSpace@İnönü

Yazar "Ucar, Y" için listeleme

Yazar "Ucar, Y" için listeleme

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  • Numerical solutions of the coupled Burgers' equation by the Galerkin 
    Kutluay, S; Ucar, Y (2013)
    In this paper, a coupled Burgers' equation has been numerically solved by a Galerkin quadratic B-spline FEM. The performance of the method has been examined on three test problems. Results obtained by the method have been ...
  • Numerical solution of a coupled modified Korteweg-de Vries equation by 
    Kutluay, S; Ucar, Y (2013)
    In this paper, numerical solutions of a coupled modified Korteweg-de Vries equation have been obtained by the quadratic B-spline Galerkin finite element method. The accuracy of the method has been demonstrated by five test ...
  • A Galerkin Finite Element Method to Solve Fractional Diffusion and 
    Esen, A; Ucar, Y; Yagmurlu, N; Tasbozan, O (2013)
    In the present study, numerical solutions of the fractional diffusion and fractional diffusion-wave equations where fractional derivatives are considered in the Caputo sense have been obtained by a Galerkin finite element ...
  • A Quadratic B-Spline Galerkin Approach for Solving a Coupled KdV 
    Kutluay, S; Ucar, Y (2013)
    In this paper, a quadratic B-spline Galerkin finite element approach is applied to one-dimensional coupled KdV equation in order to obtain its numerical solutions. The performance of the method is examined on three test ...
  • A Numerical Solution to Fractional Diffusion Equation for Force-Free 
    Tasbozan, O; Esen, A; Yagmurlu, NM; Ucar, Y (2013)
    A collocation finite element method for solving fractional diffusion equation for force-free case is considered. In this paper, we develop an approximation method based on collocation finite elements by cubic B-spline ...
  • Numerical approximation to a solution of the modified regularized long 
    Karakoc, SBG; Yagmurlu, NM; Ucar, Y (2013)
    In this work, a numerical solution of the modified regularized long wave (MRLW) equation is obtained by the method based on collocation of quintic B-splines over the finite elements. A linear stability analysis shows that ...
  • SOLVING FRACTIONAL DIFFUSION AND FRACTIONAL DIFFUSION-WAVE EQUATIONS BY 
    Esen, A; Ucar, Y; Yagmurlu, M; Tasbozan, O (2014)
    In the last few years, it has become highly evident that fractional calculus has been widely used in several areas of science. Because of this fact, their numerical solutions also have become urgently important. In this ...
  • Numerical solutions of the MRLW equation by cubic B-spline Galerkin 
    Karakoc, SBG; Ucar, Y; Yagmurlu, N (2015)
    In this paper, a numerical solution of the modified regularized long wave (MRLW) equation has been obtained by a numerical technique based on a lumped Galerkin method using cubic B-spline finite elements. Solitary wave ...
  • A new approach on numerical solutions of the Improved Boussinesq type 
    Ucar, Y; Karaagac, B; Esen, A (2015)
    In the present manuscript, some numerical solutions of an Improved Boussinesq type equation are obtained by means of quadratic B-spline Galerkin finite element method. Then, error norms L-2 and L-infinity have been calculated ...
  • A B-spline collocation method for solving fractional diffusion and 
    Esen, A; Tasbozan, O; Ucar, Y; Yagmurlu, NM (2015)
    In this paper,we have considered the fractional diffusion and fractional diffusion wave equations in which the time derivative is a fractional derivative in the Caputo form and have obtained their numerical solutions by ...
  • Numerical Solutions of the Modified Burgers Equation by a Cubic B-spline 
    Kutluay, S; Ucar, Y; Yagmurlu, NM (2016)
    In this paper, a numerical solution of the modified Burgers equation is obtained by a cubic B-spline collocation method. In the solution process, a linearization technique based on quasi-linearization has been applied to ...
  • A Collocation Finite Element Solution for Stefan Problems with Periodic 
    Karabenli, H; Ucar, Y; Aksan, EN (2016)
    In this study, we are going to obtain some numerical solutions of Stefan problems given together with time-dependent periodic boundary conditions. After using variable space grid method, we have presented a numerical finite ...
  • Numerical solution of the complex modified Korteweg-de Vries equation by 
    Bashan, A; Ucar, Y; Yagmurlu, NM; Esen, A (2016)
    In this paper, a method based on the differential quadrature method with quintic B-spline has been applied to simulate the solitary wave solution of the complex modified Kortewegde Vries equation (CMKdV). Three test problems, ...
  • Numerical Solutions of the Modified Burgers' Equation by Finite 
    Ucar, Y; Yagmurlu, NM; Tasbozan, O (2017)
    In this study, a numerical solution of the modified Burgers' equation is obtained by the finite difference methods. For the solution process, two linearization techniques have been applied to get over the non-linear term ...
  • An effective approach to numerical soliton solutions for the Schrodinger 
    Bashan, A; Yagmurlu, NM; Ucar, Y; Esen, A (2017)
    In this study, an effective differential quadrature method (DQM) which is based on modified cubic B-spline (MCB) has been implemented to obtain the numerical solutions for the nonlinear Schrodinger (NLS) equation. After ...
  • Numerical Solutions of the Modified Burgers' Equation by Finite 
    Ucar, Y; Yagmurlu, NM; Tasbozan, O (2017)
    In this study, a numerical solution of the modified Burgers' equation is obtained by the finite difference methods. For the solution process, two linearization techniques have been applied to get over the non-linear term ...
  • Numerical Solutions of the Modified Burgers' Equation by Finite 
    Ucar, Y; Yagmurlu, NM; Tasbozan, O (2017)
    In this study, a numerical solution of the modified Burgers' equation is obtained by the finite difference methods. For the solution process, two linearization techniques have been applied to get over the non-linear term ...
  • A Numerical Approach to the Rosenau-KdV equation using Galerkin Cubic 
    Ucar, Y; Karaagac, B; Kutluay, S (2017)
    In this paper, a Galerkin finite element method has been used to solve numerically the Rosenau-KdV equation using cubic B-spline functions. The system of ordinary differential equations obtained in terms of element parameters ...
  • NUMERICAL SOLUTIONS FOR THE FOURTH ORDER EXTENDED FISHER-KOLMOGOROV 
    Bashan, A; Ucar, Y; Yagmurlu, NM; Esen, A (2018)
    In this paper, modified cubic B-spline based differential quadrature method (MCB-DQM) has been used to obtain the numerical solutions for the fourth order extended Fisher-Kolmogorov equation (EFK). After using DQM for ...
  • A new perspective for the numerical solutions of the cmKdV equation via 
    Bashan, A; Yagmurlu, NM; Ucar, Y; Esen, A (2018)
    In the present paper, a novel perspective fundamentally focused on the differential quadrature method using modifi ed cubic B-spline basis functions are going to be applied for obtaining the numerical solutions of the ...