Comparison of Several Numerical Algorithms for Solving Ordinary Differential Equation Initial Value Problem

DOI

10.2991/iwmecs-18.2018.95How to use a DOI?

Keywords

ordinary differential equation, initial value problem, numerical calculation method

Abstract

In this paper, the authors using the MATLAB software to the ordinary differential equation initial value problem, Euler's method, improved Euler method, classical Runge-Kutta method is used for computer programming and implementation, through the comparison of numerical results analysis, Euler method principle simple error is bigger, improved Euler method to calculate the amount is larger, the classical Runge-Kutta method for high precision stability is also very good.

Copyright

© 2018, 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/).

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TY  - CONF
AU  - Li-juan Zhang
AU  - Tian-ye Guan
PY  - 2018/04
DA  - 2018/04
TI  - Comparison of Several Numerical Algorithms for Solving Ordinary Differential Equation Initial Value Problem
BT  - Proceedings of the 2018 3rd International Workshop on Materials Engineering and Computer Sciences (IWMECS 2018)
PB  - Atlantis Press
SP  - 454
EP  - 458
SN  - 2352-538X
UR  - https://doi.org/10.2991/iwmecs-18.2018.95
DO  - 10.2991/iwmecs-18.2018.95
ID  - Zhang2018/04
ER  -