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!
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pietro
2014-6-11
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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