Approximate solution methods for the Cauchy problem with the use of solution operators and the taylor formula期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

首页 | 本学科首页

官方微博 | 高级检索

Approximate solution methods for the Cauchy problem with the use of solution operators and the taylor formula

Authors:

P. M. Zin'ko

Abstract:

To find an approximate solution of the Cauchy problem

$$dot x(t) = f(x(t),t),;;;;;x(t_0 ) = x^0 in R^n ,;t geqslant t_0 ,$$

we propose numerical methods of the fourth and fifth order of accuracy that are based on solution operators and the expansion of the solution of the Cauchy problem into a Taylor series. Results of numerical experiments are given. Bibliography: 3 titles. Translated fromObchyslyuval'na ta Prykladna Matematyka, No. 81, 1997, pp. 54–59.

Keywords:

本文献已被 SpringerLink 等数据库收录！

设为首页 | 免责声明 | 关于勤云 | 加入收藏