Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5776682 | Applied Numerical Mathematics | 2017 | 29 Pages |
Abstract
In this article, we formulate two orthogonal spline collocation schemes, which consist of a nonlinear and a linear scheme for solving the coupled Schrödinger-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.
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
Feng Liao, Luming Zhang, Shanshan Wang,