BVP4c repeating calculations (to mimic time stepping)

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I am working on solving a ODE using several different methods and I would like to use MATLAB's BVP4c too. Currently my ODE is steady but eventually I will be solving some time depending ODE's. To mimic time calculation I repeat my solving step in other solvers, i.e., for Finite Volume;
I have D2 FV Matrix and my solution is u with RHS being Right hand side of differential equation. I do the following
tic for i=1:1:1000 u=D2\RHS end toc
and I would like to do the same thing for BVP4c but it is really slow tic for i=1:1:1000
sol = bvp4c (@odes, @bcs, solinit,options); % bvp solved, end toc
But I think I am not being fair to MATLAB by doing this, because bvp4c is doing much more than u=D2/RHS compare to Finite Volume. Is there any way to mimic time stepping with bvp4c?
Thank you
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Bill Greene
Bill Greene on 26 Aug 2014
If you have a pde (function of time and space) rather than a boundary value problem, why don't you take a look at the pdepe function instead?

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