How can I solve system of the matrix differential equation within MATLAB?

Question

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I have a matrix of second order differential equation as;

X''= A X' + B X + C

where A, B and C are nxn dimensional matrices, and I am seeking for solving this equation via ode functions. I appreciate your feedback

Thanks

Javad

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Answer 1

George Papazafeiropoulos 2014 年 5 月 21 日

0 投票

eqn = 'D2y - A*Dy - B*y = C';

inits2 = 'y(0)=a, Dy(0)=b';

y=dsolve(eqn,inits2,'x')

where a and b are the initial or boundary conditions

Javad 2014 年 5 月 21 日

Please note that the A,B and C are n dimensional matrices, as I know dsolve is used for scalar values.

George Papazafeiropoulos 2014 年 5 月 21 日

You can use the above solution procedure for each relation of your matrix equation separately. This is implemented in the following:

Except for this, you can adapt the Fint_K_C function of the following submission:

to solve directly the matrix equation.