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A Fictitious Time Integration Method for Solving Delay Ordinary Differential Equations
Department of Civil Engineering, National Taiwan University, Taipei, Taiwan. E-mail: liuchei.nshan@msa.hinet.net
Computers, Materials & Continua 2009, 10(1), 97-116. https://doi.org/10.3970/cmc.2009.010.097
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A new numerical method is proposed for solving the delay ordinary differential equations (DODEs) under multiple time-varying delays or state-dependent delays. The finite difference scheme is used to approximate the ODEs, which together with the initial conditions constitute a system of nonlinear algebraic equations (NAEs). Then, a Fictitious Time Integration Method (FTIM) is used to solve these NAEs. Numerical examples confirm that the present approach is highly accurate and efficient with a fast convergence.Keywords
Delay ordinary differential equations, Multiple time-varying delays, State-dependent delays, Fictitious Time Integration Method (FTIM)
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APA Style
Liu, C. (2009). A Fictitious Time Integration Method for Solving Delay Ordinary Differential Equations. Computers, Materials & Continua, 10(1), 97–116. https://doi.org/10.3970/cmc.2009.010.097
Vancouver Style
Liu C. A Fictitious Time Integration Method for Solving Delay Ordinary Differential Equations. Comput Mater Contin. 2009;10(1):97–116. https://doi.org/10.3970/cmc.2009.010.097
IEEE Style
C. Liu, “A Fictitious Time Integration Method for Solving Delay Ordinary Differential Equations,” Comput. Mater. Contin., vol. 10, no. 1, pp. 97–116, 2009. https://doi.org/10.3970/cmc.2009.010.097
Copyright © 2009 The Author(s). Published by Tech Science Press.This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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