18 citations · 33 across the 11 of their papers we have counts for
12 papers · 1 filter
A time-space B-spline integrator for the Burgers' equation
Idris Dag, Serkan Uğurluoğlu, Nihat Adar
The purpose of this paper is to propose a new algorithm for obtaining approximate solutions to the Burgers' equation (BE). Integration in time by a quadratic B-spline collocation m…
Exponential B-spline Collocation Solutions to the Gardner Equation
Ozlem Ersoy Hepsona, Alper Korkmaz, Idiris Dag
The exponential B-spline basis function set is used to develop a collocation method for some initial boundary value problems (IBVPs) to the Gardner equation. The Gardner equation h…
Numerical Solutions of the Gardner Equation by Extended Form of the Cubic B-splines
Ozlem Ersoy Hepson, Alper Korkmaz, Idris Dag
The extended definition of the polynomial B-splines may give a chance to improve the results obtained by the classical cubic polynomial B-splines. Determination of the optimum valu…
Numerical Solution of Singularly Perturbed Problems via both Galerkin and Subdomain Galerkin methods
Ozlem Ersoy Hepson, Idris Dag
In this paper, numerical solutions of singularly perturbed boundary value problems are given by using variants of finite element method. Both Galerkin and subdomain Galerkin method…
Extended B-Spline Collocation Method For KdV-Burgers Equation
Ozlem Ersoy Hepson, Alper Korkmaz, Idris Dag
The extended form of the classical polynomial cubic B-spline function is used to set up a collocation method for some initial boundary value problems derived for the Korteweg-de Vr…
Numerical investigation of the solutions of Schrodinger equation with exponential cubic B-spline finite element method
Ozlem Ersoy, Idris Dag, Ali Sahin
In this paper, we investigate the numerical solutions of the cubic nonlinear Schrodinger equation via the exponential B-spline collocation method. Crank-Nicolson formulas are used…
The Numerical Approach to the Fisher's Equation via Trigonometric Cubic B-spline Collocation Method
Ozlem Ersoy, Idris Dag
In this study, we set up a numerical technique to get approximate solutions of Fisher's equation which is one of the most important model equation in population biology. We integra…
A Trigonometric Cubic B-spline Finite Element Method for Solving the Nonlinear Coupled Burger Equation
Ozlem Ersoy, Idris Dag
The coupled Burgers equation is solved by way of the trigonometric B-spline collocation method. The unknown of the coupled Burgers equation is integrated in time by aid of the Cran…
The Exponential Cubic B-spline Algorithm for Burgers's Equation
Ozlem Ersoy, Idris Dag, Nihat Adar
The exponential cubic B-spline functions are used to set up the collocation method for finding solutions of the Burgers's equation. The effect of the exponential cubic B-splines in…
Galerkin Method for the numerical solution of the advection-diffusion equation by using exponential B-splines
Melis Zorsahin Gorgulu, Idris Dag
In this paper, the exponential B-spline functions are used for the numerical solution of the advection-diffusion equation. Two numerical examples\ related to pure advection in a fi…
Galerkin method for the numerical solution of the Burgers' equation by using exponential B-splines
M. Zorsahin Gorgulu, I. Dag, D. Irk
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 propo…
Galerkin Method for the numerical solution of the RLW equation by using exponential B-splines
M. Z. Görgülü, İ. Dağ, D. Irk
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,…