Numerical Calculation Methods and Computer Implementation of Ordinary Differential Equation Initial Value Problem
Authors
Li-juan Zhang, Xiang Zhang, Tian-ye Guan
Corresponding Author
Li-juan Zhang
Available Online April 2017.
- DOI
- 10.2991/fmsmt-17.2017.93How to use a DOI?
- Keywords
- ordinary differential equation, initial value problem, numerical calculation method
- Abstract
The paper solved the ordinary differential equation initial value problem on computer by MATLAB, using methods of Euler's method, improved Euler method and classical Runge-Kutta. It can draw a conclusion that simple error of Euler method principle is bigger, the calculation amount of improved Euler method is larger and the classical Runge-Kutta method has high precision stability by comparing numerical results analysis,
- Copyright
- © 2017, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Li-juan Zhang AU - Xiang Zhang AU - Tian-ye Guan PY - 2017/04 DA - 2017/04 TI - Numerical Calculation Methods and Computer Implementation of Ordinary Differential Equation Initial Value Problem BT - Proceedings of the 2017 5th International Conference on Frontiers of Manufacturing Science and Measuring Technology (FMSMT 2017) PB - Atlantis Press SP - 440 EP - 443 SN - 2352-5401 UR - https://doi.org/10.2991/fmsmt-17.2017.93 DO - 10.2991/fmsmt-17.2017.93 ID - Zhang2017/04 ER -