Delay Differential Equations
Delay differential equations contain terms whose value depends on the solution at prior
times. The time delays can be constant, time-dependent, or state-dependent, and the choice of
the solver function (dde23, ddesd, or
ddensd) depends on the type of delays in the equation. Typically the
time delay relates the current value of the derivative to the value of the solution at some
prior time, but in the case of a neutral equation it can depend on the
value of the derivative at prior times. Since the equations depend on the solution at prior
times, it is necessary to provide a history function that conveys the value of the solution
before the initial time t0. For more information, see Solving Delay Differential Equations.
Functions
Topics
Solving Delay Differential Equations
Background information, solver capabilities and algorithms, and example summary.
This example shows how to use dde23 to solve a system of DDEs (delay differential equations) with constant delays.
DDE with State-Dependent Delays
This example shows how to use ddesd to solve a system of DDEs (delay differential equations) with state-dependent delays.
Cardiovascular Model DDE with Discontinuities
This example shows how to use dde23 to solve a cardiovascular model that has a discontinuous derivative.
This example shows how to use ddensd to solve a neutral DDE (delay differential equation), where delays appear in derivative terms.
Initial Value DDE of Neutral Type
This example shows how to use ddensd to solve a system of initial value DDEs (delay differential equations) with time-dependent delays.