3 papers
math.NA2025
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…
math.NA2017
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…
math.NA2016
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…