Numerical treatment of a system of algebraic-differential equations
Simulation of mechanisms - Solving equations using software
Article REF: AF5054 V1
Numerical treatment of a system of algebraic-differential equations
Simulation of mechanisms - Solving equations using software

Author : Wilfrid MARQUIS-FAVRE

Publication date: July 10, 2007 | Lire en français

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2. Numerical treatment of a system of algebraic-differential equations

2.1 Characterization of systems of algebraic-differential equations: the index concept

On the pendulum example with the (5) form of the equations, two successive derivations of the linking equation yield the canonical first-order system. This system is always algebraic-differential, since the derivative of λ is not present in these equations. If we now introduce the expressions for the derivatives x˙

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