15 citations · 37 across the 8 of their papers we have counts for
8 papers
A collocation method based on extended cubic B-splines for numerical solutions of the Klein-Gordon equation
Alper Korkmaz, Ozlem Ersoy, Idiris Dag
A generalization of classical cubic B-spline functions with a parameter is used as basis in the collocation method. Some initial boundary value problems constructed on the nonlinea…
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…
Motion of Patterns Modeled by the Gray-Scott Autocatalysis System in One Dimension
Alper Korkmaz, Ozlem Ersoy, Idiris Dag
Occupation of an interval by self-replicating initial pulses is studied numerically. Two different approximates in different categories are proposed for the numerical solutions of…
Solitary wave simulations of the Boussinesq Systems
Ozlem Ersoy, Idiris Dag, Alper Korkmaz
In the study, the collocation method based on exponential cubic B-spline functions is proposed to solve one dimensional Boussinesq systems numerically. Two initial boundary value p…
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…
An Exponential Cubic B-spline Finite Element Method for Solving the Nonlinear Coupled Burger Equation
Ozlem Ersoy, Idiris Dag
The exponential cubic B-spline functions together with Crank Nicolson are used to solve numerically the nonlinear coupled Burgers' equation using collocation method. This method ha…
The Trigonometric Cubic B-spline Algorithm for Burgers' Equation
I. Dag, O. Ersoy, O. Kacmaz
The cubic Trigonometric B-spline(CTB) functions are used to set up the collocation method for finding solutions of the Burgers' equation. The effect of the CTB in the collocation m…