TY - JOUR
T1 - An implicit difference scheme focusing on the local conservation properties for burgers equation
AU - Hu, Weipeng
AU - Deng, Zichen
AU - Han, Songmei
PY - 2012/6
Y1 - 2012/6
N2 - Focusing on the local conservation properties, a nine-point implicit difference scheme derived from the multi-symplectic idea, which is named as a generalized multi-symplectic integrator, is presented for the Burgers equation firstly. And then, the associated proofs needed on the local conservation properties of the scheme are given in detail. Finally, to illustrate the high accuracy, the good local conservation properties as well as the excellent long-time numerical behavior of the scheme, the numerical experiments on the single-front solution of the Burgers equation by the implicit scheme are reported.
AB - Focusing on the local conservation properties, a nine-point implicit difference scheme derived from the multi-symplectic idea, which is named as a generalized multi-symplectic integrator, is presented for the Burgers equation firstly. And then, the associated proofs needed on the local conservation properties of the scheme are given in detail. Finally, to illustrate the high accuracy, the good local conservation properties as well as the excellent long-time numerical behavior of the scheme, the numerical experiments on the single-front solution of the Burgers equation by the implicit scheme are reported.
KW - Burgers equation
KW - generalized multi-symplectic integrator
KW - Implicit difference scheme
KW - modified conservation law
KW - single-front solution
UR - https://www.scopus.com/pages/publications/84863518416
U2 - 10.1142/S0219876212400282
DO - 10.1142/S0219876212400282
M3 - 文章
AN - SCOPUS:84863518416
SN - 0219-8762
VL - 9
JO - International Journal of Computational Methods
JF - International Journal of Computational Methods
IS - 2
M1 - 1240028
ER -