Proceedings of the 2017 5th International Conference on Frontiers of Manufacturing Science and Measuring Technology (FMSMT 2017)

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
https://doi.org/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,
Open Access
This is an open access article distributed under the CC BY-NC license.

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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  - https://doi.org/10.2991/fmsmt-17.2017.93
ID  - Zhang2017/04
ER  -