Numerical studies on a novel split-step quadratic B-spline finite element method for the coupled Schrodinger-KdV equations

被引：18

作者：

Bai, Dongmei ^{[1
,2
]}

Zhang, Luming ^{[1
]}

机构：

[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Peoples R China

[2] China Univ Min & Technol, Dept Math, Xuzhou 221008, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2011年 / 16卷 / 03期

关键词：

Split-step B-spline finite element method; The coupled Schrodinger-KdV equations; Initial-boundary value problem; Full-discrete scheme; DYNAMICS;

D O I：

10.1016/j.cnsns.2010.06.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose a novel split-step quadratic B-spline finite element method for solving the initial-boundary value problem of the coupled Schrodinger-KdV equations. A full-discrete finite element scheme is constructed. The conserved properties of the full-discrete scheme are proved. Detailed numerical results show the efficiency of our scheme. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：1263 / 1273

页数：11

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