How to solve non-linear second order Differential equations in 2 variables in Matlab?
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These are my equations:
dT/dt=A1+A2*T+A3*T^4+A4*((dT1/dx)@x=0)........Eqn1
dT1/dt=B1*(d2T1/dx2) ..........Eqn2
Initial conditions: @t=0 T=To, T1=T1o for all x.
Boundary conditions: @x=0 T=T1, @x=xo T1=T11(const).
where T and T1 are two different variables. All coefficients are constants.
d2T1/dx2 means ddT1/ddx.
I found only examples of one variable till now. Any help on how to proceed or which solvers to use would be very appreciated. Thanks in advance!
2 Comments
pietro
on 11 Jun 2014
there are infinitive solutions to this problem, so you can't solve the equation. You could use the optimization solver and set some constraints to the solution.
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