MATLAB: Can we solve a system of 100 equations using ode15s?

odesystem of equations

I solved a system of 10 equations which takes around 10mins. But when I am applying ode15s to solve more than 100 equations, then even in 36 hours the problem doesn't resolve. I have checked my program many times, there is no problem in programming. So, is ode15s a suitable platform to solve such a large system??

Best Answer

Generally speaking, Yes, some people do over 1000 equations.

However, the more variables you have, the more the chances are that interactions between the variables lead to regions that are rapidly changing and so need to be integrated to tight tolerances.

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MATLAB: Numerical Solution for a System of THREE Differential Equations

This is an ODE, not PDE. Look for the ODE suite

MATLAB: Ode15s

If you are solving something like

[t,x] = solver(odefun,tspan,y0)

and you want the time derivative at each point t(i), then that is simply

dxdt = 0*x;  % initialize the array
for ii=1:length(t)
  dxdt(ii,:) = odefun(t(ii),x(ii,:));
end

(edited to allow for the possibility that x has more than one component at each time t).

Best Answer

Related Solutions

MATLAB: Numerical Solution for a System of THREE Differential Equations

MATLAB: Ode15s

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