Open Access
ARTICLE
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
Abstract
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
Cite This Article
![cc](https://www.techscience.com/static/images/cc.jpg?t=20230215)