Dursun Irk
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View article: HIGHER ORDER QUASI CUBIC B-SPLINE SOLUTION OF ADVECTION EQUATION
HIGHER ORDER QUASI CUBIC B-SPLINE SOLUTION OF ADVECTION EQUATION Open
In this study, the advection equation (AE) will be solved numerically by using the high order method based on cubic B-spline quasi-interpolation for space discretization and second and fourth order single step method for time discretizatio…
View article: Galerkin methods for the numerical solution of the Schrödinger equation by using trigonometric B-splines
Galerkin methods for the numerical solution of the Schrödinger equation by using trigonometric B-splines Open
This paper includes four finite element methods which are based on quadratic, cubic, quartic and quintic trigonometric B-spline functions for space discretization and Crank-Nicolson method for time discretization, to be achieved the numeri…
View article: A fourth order one step method for numerical solution of good Boussinesq equation
A fourth order one step method for numerical solution of good Boussinesq equation Open
In this paper, we investigate the numerical solution of "good" Boussinesq equation by using the quartic B-spline Galerkin method for space discretization and the fourth order one-step method for time discretization.The proposed numerical s…
View article: Numerical solution of modified regularized long wave equation by using cubic trigonometric B-spline functions
Numerical solution of modified regularized long wave equation by using cubic trigonometric B-spline functions Open
In this study, the Modified Regularized Long Wave (MRLW) equation is solved numerically. The method used for the numerical solution of MRLW equation includes the space discretization with the Galerkin finite element method based on cubic t…
View article: Cubic B-Spline Quasi-Interpolation Method For Regularized Long Wave Equation
Cubic B-Spline Quasi-Interpolation Method For Regularized Long Wave Equation Open
In this study, we present a numerical method to solve the Regularized Long Wave (RLW) equation, based on cubic B-spline quasi-interpolation for the space integration and Crank-Nicolson method for the time integration. The method is tested …
View article: A NUMERICAL SOLUTION OF THE ADVECTION-DIFFUSION EQUATION BY USING EXTENDED CUBIC B-SPLINE FUNCTIONS
A NUMERICAL SOLUTION OF THE ADVECTION-DIFFUSION EQUATION BY USING EXTENDED CUBIC B-SPLINE FUNCTIONS Open
In this paper, numerical solution of theadvection-diffusion equation is obtained by using extended cubic B-splinefunctions. For space discretization, the extended cubic B-spline Galerkinmethod is used to integrate the advection-diffusion e…
View article: QUADRATIC TRIGONOMETRIC B-SPLINE GALERKIN METHODS FOR THE REGULARIZED LONG WAVE EQUATION
QUADRATIC TRIGONOMETRIC B-SPLINE GALERKIN METHODS FOR THE REGULARIZED LONG WAVE EQUATION Open
In this study, a numerical solution of the Regularized Long Wave (RLW) equation is obtained using Galerkin finite element method, based on two and three steps Adams Moulton method for the time integration and quadratic trigonometric B-spli…
View article: Cubic Trigonometric B-spline Galerkin Methods for the Regularized Long Wave Equation
Cubic Trigonometric B-spline Galerkin Methods for the Regularized Long Wave Equation Open
A numerical solution of the Regularized Long Wave (RLW) equation is obtained using Galerkin finite element method, based on Crank Nicolson method for the time integration and cubic trigonometric B-spline functions for the space integration…
View article: Wave Propagation by Way of Exponential B-Spline Galerkin Method
Wave Propagation by Way of Exponential B-Spline Galerkin Method Open
In this paper, the exponential B-spline Galerkin \ method is set up for getting the numerical solution of the Burgers' equation. Two numerical examples\ related to shock wave propogation and travelling wave are studied to illustrate the ac…
View article: Galerkin method for the numerical solution of the Burgers' equation by using exponential B-splines
Galerkin method for the numerical solution of the Burgers' equation by using exponential B-splines Open
In this paper, the exponential B-spline Galerkin \ method is set up for getting the numerical solution of the Burgers' equation. Two numerical examples\ related to shock wave propogation and travelling wave are studied to illustrate the ac…
View article: Galerkin Method for the numerical solution of the RLW equation by using exponential B-splines
Galerkin Method for the numerical solution of the RLW equation by using exponential B-splines Open
In this paper, the exponential B-spline functions are used for the numerical solution of the RLW equation. Three numerical examples related to propagation of single solitary wave, interaction of two solitary waves and wave generation are e…