A Quantization-based Integration Method for Stiff Ordinary Differential Equations

Authors

Zhihua Li, School of Mechanical Engineering, Hangzhou Dianzi University, Hangzhou 310018, China;
Jiang De, School of Mechanical Engineering, Hangzhou Dianzi University, Hangzhou 310018, China;
Chenjia Wu, School of Mechanical Engineering, Hangzhou Dianzi University, Hangzhou 310018, China;
Zhihua Fan, School of Mechanical Engineering, Hangzhou Dianzi University, Hangzhou 310018, China;

Abstract

Abstract: QSS(Quantized State System) has advantages over the traditional time-discrete integration methods in solving general ordinary differential equation (ODE) systems, but it is not suitable for solving the stiff ODE systems. To effectively solve the stiff ODE systems, a step-correction optimization algorithm based on QSS (SCOA based-on QSS) is proposed, which combines the ideas of the QSS method and the implicit trapezoidal integral method. The simulation results of three typical stiff ODE cases show that the SCOA based-on QSS algorithm has advantages over other algorithms, and the simulation accuracy can be significantly improved by appropriately reducing the quantum size.

Recommended Citation

Li, Zhihua; De, Jiang; Wu, Chenjia; and Fan, Zhihua (2021) "A Quantization-based Integration Method for Stiff Ordinary Differential Equations," Journal of System Simulation: Vol. 33: Iss. 1, Article 5.
DOI: 10.16182/j.issn1004731x.joss.19-0172
Available at: https://dc-china-simulation.researchcommons.org/journal/vol33/iss1/5

First Page

46

Revised Date

2019-08-09

DOI Link

https://doi.org/10.16182/j.issn1004731x.joss.19-0172

Last Page

53

CLC

TP391

Recommended Citation

Li Zhihua, Jiang De, Wu Chenjia, Fan Zhihua. A Quantization-based Integration Method for Stiff Ordinary Differential Equations[J]. Journal of System Simulation, 2021, 33(1): 46-53.

DOI

10.16182/j.issn1004731x.joss.19-0172