Modified Burgers equation by local discontinuous Galerkin method

doi:10.1088/1674-1056/22/3/030210

Abstract In this paper, we present the local discontinuous Galerkin method for solving Burgers’ equation and the modified Burgers’ equation. We describe the algorithm formulation and practical implementation of the local discontinuous Galerkin method in detail. The method is applied to the solution of the one-dimensional viscous Burgers’ equation and two forms of the modified Burgers’ equation. The numerical results indicate that the method is very accurate and efficient.

Keywords: local discontinuous Galerkin method Burgers equation modified Burgers&rsquo equation

Received: 30 August 2012
Revised: 18 September 2012
Accepted manuscript online:

PACS:	02.70.Dh	(Finite-element and Galerkin methods)
	52.35.-g	(Waves, oscillations, and instabilities in plasmas and intense beams)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11261035, 11171038, and 10771019), the Science Research Foundation of Institute of Higher Education of Inner Mongolia Autonomous Region, China (Grant No. NJZZ12198), and the Natural Science Foundation of Inner Mongolia Autonomous Region, China (Grant No. 2012MS0102).

Corresponding Authors: Zhang Rong-Pei
E-mail: rongpeizhang@163.com

Cite this article:

Zhang Rong-Pei (张荣培), Yu Xi-Jun (蔚喜军), Zhao Guo-Zhong (赵国忠) Modified Burgers equation by local discontinuous Galerkin method 2013 Chin. Phys. B 22 030210

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