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Jacobian

Jacobian

Jacobian

(OP)
Hi everyone,
I am trying to obtain jacobian matrix of a set of ode.  Jacobian matrix changes with respect to time. Is there method or a command to obtain jacobian matrix while using Matlab ode solvers.
Thanks...

RE: Jacobian

I'm probably off-base, but here's the way I remember it...

Routines like ode45 address ordinary differential equations (although possibly non-linear).

Jacobian is relevant to partial differential equations.

Help Jacobian gives the following:

 JACOBIAN Jacobian matrix.
    JACOBIAN(f,v) computes the Jacobian of the scalar or vector f
    with respect to the vector v. The (i,j)-th entry of the result
    is df(i)/dv(j). Note that when f is scalar, the Jacobian of f
    is the gradient of f. Also, note that scalar v is allowed,
    although this is just DIFF(f,v).
 
    Example:
        jacobian([x*y*z; y; x+z],[x y z])
        jacobian(u*exp(v),[u;v])
 
    See also DIFF.
 

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