To read this content please select one of the options below:

Sextic B‐spline collocation method for the modified Burgers' equation

Dursun Irk (Mathematics and Computer Sciences Department, Eskişehir Osmangazi University, Eskişehir, Turkey)

Kybernetes

ISSN: 0368-492X

Article publication date: 16 October 2009

519

Abstract

Purpose

The purpose of this paper is to investigate the numerical solutions of the Burgers' and modified Burgers' equation using sextic B‐spline collocation method.

Design/methodology/approach

Crank‐Nicolson central differencing scheme has been used for the time integration and sextic B‐spline functions have been used for the space integration to the modified and time splitted modified Burgers' equation.

Findings

It has been found that the proposed method is unconditionally stable and obtained results are consistent with some earlier published studies.

Originality/value

Sextic B‐spline collocation method for the Burgers' and modified Burgers' equation is given.

Keywords

Citation

Irk, D. (2009), "Sextic B‐spline collocation method for the modified Burgers' equation", Kybernetes, Vol. 38 No. 9, pp. 1599-1620. https://doi.org/10.1108/03684920910991568

Publisher

:

Emerald Group Publishing Limited

Copyright © 2009, Emerald Group Publishing Limited

Related articles