Please explain Matlab's naming convention for odepq
2 vues (au cours des 30 derniers jours)
Afficher commentaires plus anciens
There are ODE solvers built into Matlab, all named in the form of odepq.
I understand p is the order. For Euler's method it is order 1, Heun's and Midpoint are order 2, while Runge-kutta is order 4. What is the q here?
0 commentaires
Réponse acceptée
Walter Roberson
le 22 Jan 2021
Modifié(e) : Walter Roberson
le 22 Jan 2021
p is the order of the calculation used to predict the solution, and q is the order of the calculation used for the error estimate.
Exception:
"ode113 is a variable-step, variable-order (VSVO) Adams-Bashforth-Moulton PECE solver of orders 1 to 13. The highest order used appears to be 12, however, a formula of order 13 is used to form the error estimate and the function does local extrapolation to advance the integration at order 13."
4 commentaires
Steven Lord
le 22 Jan 2021
FYI Cleve Moler offers a bit more of the details behind the solvers in section 7.12 (the chapter titled "Ordinary Differential Equations") of his textbook "Numerical Computing with MATLAB" that is available here.
Plus de réponses (0)
Voir également
Catégories
En savoir plus sur Ordinary Differential Equations dans Help Center et File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!