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Research Papers

Explicit Numerical Methods for Solving Stiff Dynamical Systems

[+] Author and Article Information
Suying Zhang1

Institute of Theoretical Physics, Shanxi University, Taiyuan 030006, Chinazhangsy@sxu.edu.cn

Jiangdan Li

Institute of Theoretical Physics, Shanxi University, Taiyuan 030006, China

1

Corresponding author.

J. Comput. Nonlinear Dynam 6(4), 041008 (Apr 12, 2011) (3 pages) doi:10.1115/1.4003706 History: Received October 21, 2010; Revised February 11, 2011; Published April 12, 2011; Online April 12, 2011

The precise integration method can give precise numerical result for linear invariant dynamical system, and can be used to solve stiff linear invariant dynamical system. In this paper, precise integration is compounded with Runge–Kutta method and a new effective integration method is presented for solving nonlinear stiff problems. The numerical examples are given to demonstrate the validity and effectiveness of the proposed method.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 3

The error of x versus time

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Figure 4

The error of y versus time

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Figure 2

The error of numerical method in this paper

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Figure 1

The error of Runge-Kutta method

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