Title :
A LDG method for the fourth-order NLS equation
Author :
Li, Wenting ; Jiang, Kun ; Lin, Zhidong
Author_Institution :
Sch. of Math. Sci., Heilongjiang Univ., Haerbin, China
Abstract :
In this paper, a local discontinuous Galerkin (LDG) method is is designed for solving the BBM-Burgers equation with four-order spatial derivatives. Our schemes extend the previous work of Xu and Shu [8] solving the nonlinear Schrödinger equations on LDG method. The L2 stability of the LDG methods is proved for general solutions. Numerical results are shown to illustrate the accuracy and capability of the LDG method.
Keywords :
Galerkin method; Schrodinger equation; nonlinear equations; BBM-Burgers equation; L2 stability; LDG method; four-order spatial derivatives; fourth-order NLS equation; local discontinuous Galerkin method; nonlinear Schrödinger equations; 4-order BBM-Burgers equation; LDG method; stability;
Conference_Titel :
Computer Science and Information Processing (CSIP), 2012 International Conference on
Conference_Location :
Xi´an, Shaanxi
Print_ISBN :
978-1-4673-1410-7
DOI :
10.1109/CSIP.2012.6308939
