Solving a nonlinear equation numerically
2 Ansichten (letzte 30 Tage)
Ältere Kommentare anzeigen
I want to solve the nonlinear equation d^2(x)/dt^2 +(k)sinx = 0, numerically.
alternatively, this can be written as
0 Kommentare
Antworten (1)
John D'Errico
am 29 Okt. 2020
It looks as if you don't need to solve it numerically.
syms x(t)
xpp = diff(x,t,2)
syms k
dsolve(xpp + k*sin(x) == 0)
dsolve(xpp + k*sin(x) == 0)
ans =
0
2*jacobiAM((2^(1/2)*(C1 - k)^(1/2)*(C2 - t)*1i)/2, -(2*k)/(C1 - k))
-2*jacobiAM((2^(1/2)*(C1 - k)^(1/2)*(C2 - t)*1i)/2, -(2*k)/(C1 - k))
Of course, it would help if you had some initial or boundary conditions. Then you might get a better answer.
But if you really, really need to solve it numerically, then you need to start with a tool like ODE45, and you need to pose a set of initial conditions, etc. As well, you need to define the value of k. No numerical solution can be found unless you specify k as a NUMBER.
2 Kommentare
Siehe auch
Kategorien
Mehr zu Symbolic Math Toolbox finden Sie in Help Center und File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!