MATLAB Mathematics - SERC - Index of

Initial Value Problems for ODEs and DAEs
end
0.8
Restricted three body problem
0.6
0.4
0.2
y(t)
0
−0.2
−0.4
−0.6
−0.8
−1.5 −1 −0.5 0 0.5 1 1.5
x(t)
Example: Differential-Algebraic Problem
hb1dae reformulates the hb1ode example as a differential-algebraic equation
(DAE) problem. The Robertson problem coded in hb1ode is a classic test
problem for codes that solve stiff ODEs.
y′ 1 = – 0.04y 1 + 10 4 y 2 y 3
y′ 2 0.04y 1 – 10 4 y 2 y 3 3 10 7 2
=
– ⋅ y 2
y′ 3 3 10 7 2
= ⋅ y 2
5-35