• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Engineering analysis with boundary elements >The meshless kernel-based method of lines for the numerical solution of the nonlinear Schrodinger equation
【24h】

The meshless kernel-based method of lines for the numerical solution of the nonlinear Schrodinger equation

机译：非线性薛定inger方程数值解的基于无核核的线法

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

In this paper, the nonlinear Schrodinger equation is solved numerically by using the meshless kernel-based method of lines. Multiquadric, Gaussian and Wendland's compactly supported radial basis functions are used as the kernel basis functions. In the numerical examples, the single soliton solution, interaction of two colliding solitons, birth of standing soliton, birth of mobile soliton and bound state of solitons are simulated. The accuracy and efficiency of the used method are tested by computing the lowest two invariants and the relative change of invariants for all test problems. Error norms L_2 and L_∞ are computed for single soliton motion whose exact solution is known. Numerical results and figures off wave motions for all test problems are presented. The numerical solutions of the nonlinear Scrodinger equation are compared with both the analytical solutions and numerical solutions of some earlier papers in the literature.
机译：本文采用基于无核核的直线法对非线性薛定inger方程进行数值求解。多二次，高斯和温德兰的紧密支持的径向基函数被用作内核基函数。在数值示例中，模拟了单个孤子解，两个碰撞孤子的相互作用，站立孤子的诞生，移动孤子的诞生以及孤子的束缚状态。通过计算所有测试问题的最低两个不变性和不变性的相对变化，来测试所用方法的准确性和效率。针对单孤子运动计算误差范数L_2和L_∞，其精确解是已知的。给出了所有测试问题的数值结果和波浪运动图。将非线性Scrodinger方程的数值解与文献中一些较早论文的解析解和数值解进行了比较。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号