Extended B-Spline Collocation Method For KdV-Burgers Equation
Numerical Analysis
2017-01-12 v1
Abstract
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 Vries-Burgers equation. Having nonexistence of third order derivatives of the cubic B-splines forces us to reduce the order of the term uxxx to give a coupled system of equations. The space discretization of this system is accomplished by the collocation method following the time discretization with Crank-Nicolson method. Two initial boundary value problems, one having analytical solution and the other is set up with a non analytical initial condition, have been simulated by the proposed method.
Cite
@article{arxiv.1701.02893,
title = {Extended B-Spline Collocation Method For KdV-Burgers Equation},
author = {Ozlem Ersoy Hepson and Alper Korkmaz and Idris Dag},
journal= {arXiv preprint arXiv:1701.02893},
year = {2017}
}