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Discussion on Numerical Algorithm of Initial Value Problem for First Order Ordinary Differential Equation

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DOI: 10.23977/jsoce.2021.030822 | Downloads: 16 | Views: 916

Author(s)

Wang Bin 1, Cheng RongHua 1

Affiliation(s)

1 Yunnan University of Finance and Economics, Kunming, China

Corresponding Author

Wang Bin

ABSTRACT

In this paper, MATLAB software is used to carry out the calculation research of ordinary differential equation. The calculation ideas of Euler, optimized Euler and classical Kutta are explored respectively, and the calculation process of the three algorithms is analyzed. Through the calculation and analysis of the calculation error of the three algorithms, it is found that: the Euler algorithm has a large error problem; the optimized Euler algorithm forms a large amount of calculation; the calculation process of the three algorithms is analyzed The classical Kutta calculation has high accuracy and can stably complete the calculation program of each group of ordinary differential equations. 

KEYWORDS

Differential equation, Discrete, Node

CITE THIS PAPER

Wang Bin, Cheng RongHua, Discussion on Numerical Algorithm of Initial Value Problem for First Order Ordinary Differential Equation. Journal of Sociology and Ethnology (2021) 3: 121-126. DOI: http://dx.doi.org/10.23977/jsoce.2021.030822.

REFERENCES

[1] Zhiyue. Numerical solution of initial value problem for first order ordinary differential equation[J]. Journal of Communication University of China (NATURAL SCIENCE EDITION), 2019, 26(03):58-60+57. 
[2] Geng LifangNumerical algorithm and implementation of initial value problem for first order ordinary differential equations. [J]. Mathematics learning and research, 2018(16):3. 
[3] Zhang Lijuan, Zhang Xiang, Guan Tianye. A numerical algorithm for the initial value problem of first order ordinary differential equations [J]. Journal of Tonghua Normal University, 2017, 38(08):22-24.

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