[资料]

# Solving Delay Differential Equations with dde23

2008-6-19 13:02:16  6519
 .pcb { margin-right: 0 } Solving Delay Differential Equations withdde23 dde23 aims to make it as easy as possible to solve effectively delay-differential equations (DDEs) with constant delays in matlab. In thispaper we discuss some of its features, including discontinuity tracking,iteration for short delays, and event location. We also develop some the-oretical results that underlie the solver, including convergence, error esti-mation, and the effects of short delays on the evaluation of formulas andstability. Some examples illustrate the use of dde23 and show it to be acapable DDE solver that is exceptionally easy to use for a wide range ofcomplex problems.1 IntroductionOur goal is to make it as easy as possible to solve effectively a large class of delay-differential equations (DDEs). We restrict ourselves to systems of equations ofthe formy0(x) = f(x; y(x); y(x ? ?1); y(x ? ?2); : : : ; y(x ? ?k)) (1)for constant delays ?j such that ? = min(?1; : : : ; ?k) > 0. The equations are tohold on a ? x ? b, which requires the history y(x) = S(x) to be given for x ? a.Although DDEs with delays (lags) of more general form are important, this isa large and useful class of DDEs. Indeed, Baker, Paul, and Will′e [1] write that“The lag functions that arise most frequently in the modelling literature areconstants.” Restricting ourselves to this class of DDEs makes possible a simpleruser interface and more robust numerical solution. i3PojVoY.rar (807.82 KB, 下载次数: 1 ) 0 淘帖 显示全部楼层 最近下载过的用户(1)

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