期刊
APPLIED NUMERICAL MATHEMATICS
卷 119, 期 -, 页码 194-212出版社
ELSEVIER
DOI: 10.1016/j.apnum.2017.04.007
关键词
Orthogonal spline collocation; Schrodinger-Boussinesq equations; Conservation law; Convergence; Stability
资金
- Jiangsu Innovation Program for Graduate Education [KYZZ160161]
- National Natural Science Foundation of China [11571181]
- Fundamental Research Funds for the Central Universities [NS2015075]
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.
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