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2018•Proceedings of the 2018 3rd International Workshop on Materials Engineering and Computer Sciences (IWMECS 2018)Open access

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

Lijuan Zhang, Tian-ye Guan

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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.

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What this paper is about

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.

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Available 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.

Key concepts: Ordinary differential equation, Computer science, Algorithm, Value (mathematics), Initial value problem, Applied mathematics, Mathematics, Differential equation

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