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help on a hard question:1d but two variables
Posted Mar 16, 2010, 5:37 a.m. EDT 2 Replies
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Hello, everyone:
I am studying an electromagnetic model:
-d/dz(D(z)d/dz)C(z,q) + D(z)*q^2*C(z,q) =1
where
1/D(z)=integral(dq*q*C).
z is a space variable, and q is not a space variable(frequency value). So it is a 1D question in fact but there are two variables in the equation.
Is it possible to design two sub-domains, one for z and the other for q?
Thanks a lot!
Hao
I am studying an electromagnetic model:
-d/dz(D(z)d/dz)C(z,q) + D(z)*q^2*C(z,q) =1
where
1/D(z)=integral(dq*q*C).
z is a space variable, and q is not a space variable(frequency value). So it is a 1D question in fact but there are two variables in the equation.
Is it possible to design two sub-domains, one for z and the other for q?
Thanks a lot!
Hao
2 Replies Last Post Mar 17, 2010, 8:57 a.m. EDT
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Posted:
1 decade ago
Is there anyone who is willing to help me solve this problem? Or just give me some hints on how to solve it. Thanks!
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Posted:
1 decade ago
Dont know about the convergence or even the existence of solution but if I had to solve something like that, I will use a 2d pde on a rectangle domain , the variable being z the other q.
calculate D as a projection coupling variable on the z axis and write your first equation as a pde on the rectangle . Of course the boundary conditions will need to be properly written.
Good luck
jf
calculate D as a projection coupling variable on the z axis and write your first equation as a pde on the rectangle . Of course the boundary conditions will need to be properly written.
Good luck
jf