I encountered some complications solving a system of non-linear (26 equations) ODEs (Boundary Value Problems) numerically using the bvp5c in matlab. But matlab report an error"Unable to solve the collocation equations -- a singular Jacobian encountered", so I calculate the jacobian matrix manually, and it really is singularity(a row of the matrix is zero). Aiming at this problem, what method can be used to solve this kind of Boundary Value Problems?
Thank you.
Dear Dr Pengcheng Xue:
The best place to get the specifics of this toolbox is the Mathworks website. They have literature about the above-mentioned function and a forum where you may dialog with people that use it.
https://www.mathworks.com/help/matlab/math/solve-bvp-with-multiple-boundary-conditions.html
https://www.mathworks.com/help/matlab/ref/bvp5c.html
Forum: https://www.mathworks.com/support/search.html?fq=asset_type_name:answer%20category:matlab/boundary-value-problems&page=1
Best regards.
Dear Dr Pengcheng Xue:
The best place to get the specifics of this toolbox is the Mathworks website. They have literature about the above-mentioned function and a forum where you may dialog with people that use it.
https://www.mathworks.com/help/matlab/math/solve-bvp-with-multiple-boundary-conditions.html
https://www.mathworks.com/help/matlab/ref/bvp5c.html
Forum: https://www.mathworks.com/support/search.html?fq=asset_type_name:answer%20category:matlab/boundary-value-problems&page=1
Best regards.
Hi, in addition to collocation methods you can also try to use single (or multiple) shooting methods. You simply have to code the shooting function in MATLAB and call fsolve.
Richard Epenoy Thanks for your suggestion. Actually, I'm dealing with a multipoint bvp, so I try to use bvp5c function in MATLAB. But in the subsection one, the first equation of ODEs is always equal to zero. As a result, the jacobian matrix is singular. So I think even though I use the shooting method, when iterative calculation is performed, I also need jacobian matrix, thus the same problem appears. Any good ideas to deal with it?
Hi, it would be necessary to study more deeply your equations and in particular why your first eqation is equal to zero.
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