Differential Equations: ODE45 vs ODE15s, stiff/non-stiff ode, Matlab simulation

The present video discusses numerical integration of ordinary differential equations (in first-order state-space representation, system of first-order ODEs), comparing performance of {ode45} versus {ode15s} in two different settings:
-- In cases where all time constants are similar (non-stiff ODE) and order is small; in such cases, {ode45} performs faster than {ode15s}
-- In stiff ODEs, where there are very different time constants; in these latter cases, {ode15s} is the solver which performs significantly faster for a given tolerance.
These ideas are useful in large-scale simulations in process control, physics, etc.
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PDF/code and comments at personales.upv....
#matlab #ode #simulation
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Antonio Sala
Universitat Politecnica de Valencia, Spain
Full collection of videos at: personales.upv....