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A Comperative Numerical Study Based on Cubic Polynomial and Trigonometric B-splines for the Gardner Equation
Ozlem Ersoy Hepson, Alper Korkmaz, Idiris Dag
Two cubic B-spline functions from different families are placed to the collocation method for the numerical solutions to the Gardner equation.Four models describing propagation of…
Numerical Solutions of Reaction-Diffusion Equation Systems with Trigonometric Quintic B-spline Collocation Algorithm
Aysun Tok Onarcan, Nihat Adar, İdiris Dag
In this study, the numerical solutions of reaction-diffusion systems are investigated via the trigonometric quintic B-spline nite element collocation method. These equations appear…
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…
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…