应用科学学报 ›› 1983, Vol. 1 ›› Issue (1): 25-32.

• 论文 • 上一篇    下一篇

非线性Klein-Gordon方程的数值解

郭本瑜1, Luis Vázquez2   

  1. 1. 上海科学技术大学;
    2. 西班牙Madrid综合大学
  • 收稿日期:1981-09-29 出版日期:1983-03-31 发布日期:1983-03-31

A NUMERICAL SCHEME FOR NONLINEAR KLEIN-GORDON EQUATIONS

GUO BENYU1, LUIS VAZQUEZ2   

  1. 1. Shanghai University of Science and Technology;
    2. Madrid University
  • Received:1981-09-29 Online:1983-03-31 Published:1983-03-31

摘要: 在理论物理中需要用差分方法计算非线性波动方程,其关键是如何逼近非线性项.
本文考虑下列非线性Klein-Gordon方程.

Abstract: The finite difference method is useful in mathematical physics for solving the nonlinear wave equations. The key problem involved is how to deal with the nonlinear term.
In this paper, numerical scheme for nonlinear Klein-Gordon equation is developed and an error estimation is established with the technique of[2-5].