数学物理学报(英文版) ›› 2020, Vol. 40 ›› Issue (3): 723-733.doi: 10.1007/s10473-020-0310-7

• 论文 • 上一篇    下一篇

A NOVEL METHOD FOR NONLINEAR IMPULSIVE DIFFERENTIAL EQUATIONS IN BROKEN REPRODUCING KERNEL SPACE

梅良才   

  1. Zhuhai Campus, Beijing Institute of Technology, Zhuhai 519088, China
  • 收稿日期:2018-12-11 修回日期:2019-04-11 出版日期:2020-06-25 发布日期:2020-07-17
  • 作者简介:Liangcai MEI,E-mail:mathlcmei@163.com
  • 基金资助:
    This work is supported by a Young Innovative Talents Program in Universities and Colleges of Guangdong Province (2018KQNCX338), and two Scientific Research-Innovation Team Projects at Zhuhai Campus, Beijing Institute of Technology (XK-2018-15, XK-2019-10).

A NOVEL METHOD FOR NONLINEAR IMPULSIVE DIFFERENTIAL EQUATIONS IN BROKEN REPRODUCING KERNEL SPACE

Liangcai MEI   

  1. Zhuhai Campus, Beijing Institute of Technology, Zhuhai 519088, China
  • Received:2018-12-11 Revised:2019-04-11 Online:2020-06-25 Published:2020-07-17
  • Supported by:
    This work is supported by a Young Innovative Talents Program in Universities and Colleges of Guangdong Province (2018KQNCX338), and two Scientific Research-Innovation Team Projects at Zhuhai Campus, Beijing Institute of Technology (XK-2018-15, XK-2019-10).

摘要: In this article, a new algorithm is presented to solve the nonlinear impulsive differential equations. In the first time, this article combines the reproducing kernel method with the least squares method to solve the second-order nonlinear impulsive differential equations. Then, the uniform convergence of the numerical solution is proved, and the time consuming Schmidt orthogonalization process is avoided. The algorithm is employed successfully on some numerical examples.

关键词: Nonlinear impulsive differential equations, Broken reproducing kernel space, numerical algorithm

Abstract: In this article, a new algorithm is presented to solve the nonlinear impulsive differential equations. In the first time, this article combines the reproducing kernel method with the least squares method to solve the second-order nonlinear impulsive differential equations. Then, the uniform convergence of the numerical solution is proved, and the time consuming Schmidt orthogonalization process is avoided. The algorithm is employed successfully on some numerical examples.

Key words: Nonlinear impulsive differential equations, Broken reproducing kernel space, numerical algorithm

中图分类号: 

  • 97N40