Différences entre versions de « Commande NRésolEquaDiff »
De GeoGebra Manual
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{{Note|1= Voir aussi les commandes [[Commande ChampVecteurs |ChampVecteurs]] et [[Commande RésolEquaDiff |RésolEquaDiff ]].}} | {{Note|1= Voir aussi les commandes [[Commande ChampVecteurs |ChampVecteurs]] et [[Commande RésolEquaDiff |RésolEquaDiff ]].}} | ||
Version du 26 novembre 2013 à 19:40
- NRésolEquaDiff[ <Liste des Dérivées>, <Abscisse initiale>, <Liste des ordonnées initiales>, <Abscisse finale> ]
- Résout (numériquement) le système d'équations différentielles
Exemple :
f'(t, f, g, h) = gg'(t, f, g, h) = hh'(t, f, g, h) = -t h + 3t g + 2f + tNRésolEquaDiff[{f', g', h'}, 0, {1,2,-2}, 10]NRésolEquaDiff[{f', g', h'}, 0, {1,2,-2}, -5](Résout le système en reculant).
Exemple :
x1'(t, x1, x2, x3, x4) = x2x2'(t, x1, x2, x3, x4) = x3x3'(t, x1, x2, x3, x4) = x4x4'(t, x1, x2, x3, x4) = -8x1 + sin(t) x2 - 3x3 + t^2x10 = -0.4x20 = -0.3x30 = 1.8x40 = -1.5NRésolEquaDiff[{x1', x2', x3', x4'}, 0, {x10, x20, x30, x40}, 20]
Exemple :
Pendule :
g = 9.8l = 2a = 5(position de départ)b = 3(force initiale)y1'(t, y1, y2) = y2y2'(t, y1, y2) = (-g) / l sin(y1)NRésolEquaDiff[{y1', y2'}, 0, {a, b}, 20]long = Longueur[IntégraleNumérique1]c = Curseur[0, 1, 1 / long, 1, 100, false, true, true, false]x1 = l sin(y(Point[IntégraleNumérique1, c]))y1 = -l cos(y(Point[IntégraleNumérique1, c]))A = (x1, y1)Segment[(0, 0), A]DémarrerAnimation[]
Note : Voir aussi les commandes ChampVecteurs et RésolEquaDiff .
