A fictitious time integration method for solving delay ordinary differential equations

被引：0
|
作者：
Liu, Chein-Shan [1 ]
机构：
[1] Department of Civil Engineering, National Taiwan University, Taipei, Taiwan
来源：
Computers, Materials and Continua | 2009年 / 10卷 / 01期
关键词：
Time varying control systems - Ordinary differential equations - Nonlinear equations - Finite difference method - Integration - Integral equations - Time delay;
D O I：
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中图分类号：
学科分类号：
摘要：
A new numerical method is proposed for solving the delay ordinary differential equations (DODEs) under multiple time-varying delays or statedependent 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. Copyright © 2009 Tech Science Press.
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页码：97 / 116
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