@Article{cmc.2009.010.097,
AUTHOR = {Chein-Shan Liu},
TITLE = {A Fictitious Time Integration Method for Solving Delay Ordinary Differential Equations},
JOURNAL = {Computers, Materials \& Continua},
VOLUME = {10},
YEAR = {2009},
NUMBER = {1},
PAGES = {97--116},
URL = {http://www.techscience.com/cmc/v10n1/22459},
ISSN = {1546-2226},
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.},
DOI = {10.3970/cmc.2009.010.097}
}