Help with an implicit solution of a system.

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Navid
Navid le 17 Sep 2014
Hi, guys.
I have the system below:
V(:,:,n)=(D+0.5*deltat(1,n)*(-K))\(D*m1(:,:,n)-(-K)*m(:,:,n)+Fload);
which I have to solve implicitly. "K" and "D" are constant "81x81" matrices. "Fload" and "m" are constant "81x1" matrices and my time step is an adaptive scalar which changes each round. So the solution should be a "81x1". The problem is for some time steps my solution gets so close to singularity that MATLAB warns me. What can I do about it? is there any other solvers besides "\" that have more accuracy?

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