Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8901092 | Applied Mathematics and Computation | 2018 | 18 Pages |
Abstract
In this paper, we propose two Galerkin methods to investigate the evolution of the Davey-Stewartson equations. The extrapolated Crank-Nicolson scheme and decoupled semi-implicit multistep scheme are employed to increase the order of the time discrete accuracy, which only requires the solutions of a linear system at each time step. Four numerical experiments are presented to illustrate the features of the proposed numerical methods, such as the optimal convergence order, the conservation variable and the application in rogue waves.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yali Gao, Liquan Mei, Rui Li,