Affiliation of Author(s):理学院
Journal:APPLIED NUMERICAL MATHEMATICS
Key Words:Orthogonal spline collocation Schrodinger-Boussinesq equations Conservation law Convergence Stability
Abstract:In this article, we formulate two orthogonal spline collocation schemes, which consist of a nonlinear and a linear scheme for solving the coupled Schrodinger-Boussinesq equations numerically. Firstly, the conservation laws of our schemes are derived. Secondly, the existence solutions of our schemes are investigated. Thirdly, the convergence and stability of the nonlinear scheme are analyzed by means of discrete energy methods, while the convergence of the linear scheme is proved by cut-off function technique. Finally, numerical results are reported to verify our theoretical analysis for the numerical methods. (C) 2017 IMACS. Published by Elsevier B.V. All rights reserved.
ISSN No.:0168-9274
Translation or Not:no
Date of Publication:2017-09-01
Co-author:Liao, Feng,Wang Shanshan
Correspondence Author:Zhang Luming,Wang Shanshan