The Chebyshev-Galerkin method of Nonlinear Burgers equation

DOI

10.2991/mmebc-16.2016.327How to use a DOI?

Keywords

Burgers equation, Chebyshev-Galerkin method, Crank-Nicolson Leap- frog scheme

Abstract

The nonlinear Burgers equation is a hot issue in the field of computational fluid dynamics, which has nonlinear convection term and diffusion term. In this paper, we give a numerical solution of the nonlinear Burgers equation by a combination of finite difference and Chebyshev-Galerkin method. Use the Crank-Nicolson Leap-frog scheme in time, and the Chebyshev-Galerkin method in space to solve the nonlinear Burgers equation. Finally, numerical experiments are carried out to illustrate the efficiency of the proposed method.

Copyright

© 2016, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

TY  - CONF
AU  - Lizheng Cheng
AU  - Hongping Li
PY  - 2016/06
DA  - 2016/06
TI  - The Chebyshev-Galerkin method of Nonlinear Burgers equation
BT  - Proceedings of the 2016 6th International Conference on Machinery, Materials, Environment, Biotechnology and Computer
PB  - Atlantis Press
SP  - 1617
EP  - 1620
SN  - 2352-5401
UR  - https://doi.org/10.2991/mmebc-16.2016.327
DO  - 10.2991/mmebc-16.2016.327
ID  - Cheng2016/06
ER  -