کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5776682 1632154 2017 29 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Numerical analysis of cubic orthogonal spline collocation methods for the coupled Schrödinger-Boussinesq equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
Numerical analysis of cubic orthogonal spline collocation methods for the coupled Schrödinger-Boussinesq equations
چکیده انگلیسی
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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 119, September 2017, Pages 194-212
نویسندگان
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