Delay Differential Equations: New in Mathematica 7

Delay Differential Equations

Mathematica 7 expands Mathematica's broad numerical differential equation capabilities by adding delay differential equations (DDE). Using powerful new automated algorithms, Mathematica 7 for the first time makes it possible to solve DDEs directly from their natural mathematical specification, without the need for manual preprocessing.

Solve systems of DDEs of any order. »
Automatic selection of efficient and reliable DDE integration methods.
Direct input of DDEs in standard mathematical notation.
Fully automated lag function computation.
Solutions given as InterpolatingFunction objects allowing flexible use and visualization. »
Full access to applicable ODE solution methods in NDSolve. »
Arbitrary numerical-precision DDE solutions.


Solve a Chaotic Delay Differential Equation	Include Delay Differential Equations Directly in Dynamic Simulations	Solve Systems of Delay Differential Equations

Solve a traffic flow model	Study Control of an Inverted Pendulum

Related Functions

NDSolve

InterpolatingFunction

More About

Differential Equations

Delay Differential Equations

Introduction to Numerical Differential Equations

Numerical differential equation solving in Mathematica