Solving coupled ODEs via ode45
4 Ansichten (letzte 30 Tage)
Ältere Kommentare anzeigen
Hello,
I have 2 secound order and coupled ordinary differential equations. For the first equation, I could find an explicit solution, i.e. d^2y/dt^2=.....
However, for the second equation, I could not find an explicit solution. Therefore, I couldn't use ode45 etc. How can I solve these equations numerically?
Thank you in advance
4 Kommentare
Torsten
am 2 Mär. 2024
ode45 can solve first-order initial value problems. Thus your equations must be of the form dy/dt = f(t,y).
If you have a second-order differential equation
d^2y/dt^2 = g(t,y,dy/dt)
, it can be written as two first-order differential equations by putting
z(1) = y, z(2) = dy/dt
The system then reads
dz(1)/dt = z(2)
dz(2)/dt = g(t,z(1),z(2))
Steven Lord
am 2 Mär. 2024
Can you show us the form of the differential equations that you do know? If you show us the mathematical equations we may be able to help you translate them into MATLAB code.
Antworten (1)
Sulaymon Eshkabilov
am 3 Mär. 2024
If your equation is implicit then, ode15i might be the tool to use.
0 Kommentare
Siehe auch
Kategorien
Mehr zu Ordinary Differential Equations 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!