所属单位：理学院
发表刊物：APPLIED NUMERICAL MATHEMATICS
关键字：Orthogonal spline collocation Schrodinger-Boussinesq equations Conservation law Convergence Stability
摘要：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号：0168-9274
是否译文：否
发表时间：2017-09-01
合写作者：Liao, Feng,王姗姗
通讯作者：张鲁明,王姗姗
发表时间：2017-09-01