Solve ODE with BC
2 vues (au cours des 30 derniers jours)
Afficher commentaires plus anciens
Sergio Manzetti
le 3 Juin 2020
Modifié(e) : Sergio Manzetti
le 8 Juin 2020
Hi, I would like to solve this ODE with initial conditions y=0 and y'=0, and boundary cond L=[0,1] using the given command:
syms x y(x)
% Define first and second derivatives for y
Dy = diff(y,x);
% Define differential equation
Diff = (1i*diff(y,x)-x)^2+x^2 == 0.326307*y;
% Set initial conditions
y = y(0) == 0;
Dy = diff(y,0) == 0;
% Solve differential equation and display
Uc_sym = dsolve(Diff, y, Dy);
display(['y = ',char(10),char(Uc_sym),char(10)])
Alternatively, check out this example in the documentation.
But I am not aware on how to include the BCs and how to make this script work at all.. Can someone help?
Thanks
0 commentaires
Réponse acceptée
Stephan
le 3 Juin 2020
Modifié(e) : Stephan
le 3 Juin 2020
I doubt that your ode has an analytical solution - however here is a minimal working example of how to include BC's in a symbolic way:
syms y(x)
% Define first derivative for y
Dy = diff(y,x);
% Define differential equation
ode = y == Dy * x;
% Set conditions
conds = [y(0)==0, y(1)==2, Dy(0)==2, Dy(1)==2];
% Solve differential equation and display
sol = dsolve(ode, conds)
1 commentaire
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!