TY  - EJOU
AU  - Liu, Chein-Shan 

TI  - A Fictitious Time Integration Method for Solving Delay Ordinary Differential Equations
T2  - Computers, Materials \& Continua

PY  - 2009
VL  - 10
IS  - 1
SN  - 1546-2226

AB  - 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.
KW  - Delay ordinary differential equations
KW  -  Multiple time-varying delays
KW  -  State-dependent delays
KW  -  Fictitious Time Integration Method (FTIM)

DO  - 10.3970/cmc.2009.010.097