Solving a system of second order differential equations
3 vues (au cours des 30 derniers jours)
Afficher commentaires plus anciens
Aleem Andrew
le 30 Mar 2020
Commenté : Aleem Andrew
le 31 Mar 2020
I get the following error message when I run the code below (although this error does not always occur; sometimes the plot is generated). I do not see why because matlabFunction (for example, in the line "M = matlabFunction(V,'vars', {'t','Y'})" (source: https://www.mathworks.com/help/symbolic/solve-differential-equation-numerically-1.html)) is a standard name.
Error message
Error using sym/matlabFunction>checkVars (line 223)
Variable names must be valid MATLAB variable names.
Error in sym/matlabFunction (line 158)
vars = checkVars(funvars,opts);
Code
syms y(t) z(t )
Dy = diff(y,t );
Dz = diff(z,t );
eqns = [diff(y,t,2) == (29.4*cos(z)+4*Dz*Dz)*sin(z)/(1+3*sin(z)*sin(z )),...
diff(z,t,2) == -3*(19.62+2*Dz*Dz*cos(z))*sin(z)/(2*(1+3*sin(z)*sin(z )))];
fun = matlabFunction(odeToVectorField(eqns),'Vars',{'t','Y '});
tspan = [0 10]; % Time interval for integration
y0 = [0 1 0 1]; % initial conditions
[t,y] = ode45(fun,tspan,y0 );
plot(t,y)
0 commentaires
Réponse acceptée
Steven Lord
le 31 Mar 2020
"Y" (without the quotes) is a valid variable name.
"Y " (again without the quotes but with the space) is not a valid variable name.
>> syms x
>> f = x.^2;
>> M1 = matlabFunction(f, 'Vars', {'x','Y'}); % Works
>> M2 = matlabFunction(f, 'Vars', {'x','Y '}); % Does not work
Error using sym/matlabFunction>checkVars (line 223)
Variable names must be valid MATLAB variable names.
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!