Title :
Local discontinuous Galerkin methods for the Rosenau-Burgers equation
Author :
Li, Wenting ; Jiang, Kun ; Yao, Mingchen
Author_Institution :
Sch. of Math. Sci., Heilongjiang Univ., Harbin, China
Abstract :
In this paper, a local discontinuous Galerkin(LDG) method is designed for solving the Rosenau-Burgers equation with four-order spatial derivatives. Our schemes extend the previous work of Xu and Shu on solving the Camassa-Holm equations on LDG method. The L2 stability of the LDG methods is proved for general solutions. Numerical results are shown to illustrate the capability of the LDG method.
Keywords :
Galerkin method; stability; L2 stability; LDG methods; Rosenau-Burgers equation; four-order spatial derivatives; local discontinuous galerkin methods; Boundary conditions; Entropy; Equations; Moment methods; Numerical stability; Propagation; Stability criteria;
Conference_Titel :
Computer Science and Automation Engineering (CSAE), 2011 IEEE International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-8727-1
DOI :
10.1109/CSAE.2011.5952744
