LOCAL DISCONTINUOUS GALERKIN METHODS FOR THREE CLASSES OF NONLINEAR WAVE EQUATIONS

作者: Chi-wangShu , YanXu

DOI:

关键词: Korteweg–de Vries equationMathematical analysisPartial differential equationNumerical partial differential equationsSolitonCompactonSimultaneous equationsDiscontinuous Galerkin methodNonlinear systemMathematics

摘要: … solve three classes of nonlinear wave equations formulated by the general KdV-Burgers … equations, the general fifth-order KdV type equations and the fully nonlinear AT(n,n,n) equations…

参考文章(4)
John P. Boyd, Numerical Computations of a Nearly Singular Nonlinear Equation Journal of Computational Physics. ,vol. 124, pp. 55- 70 ,(1996) , 10.1006/JCPH.1996.0044
Jerry L. Bona, Vassilios A. Dougalis, Ohannes A. Karakashian, William R. McKinney, Computations of blow-up and decay for periodic solutions of the generalized Korteweg-de Vries-Burgers equation Applied Numerical Mathematics. ,vol. 10, pp. 335- 355 ,(1992) , 10.1016/0168-9274(92)90049-J