Fourth Order Hyperbolic PDE's
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I have been struggling with trying to solve the vibrating plate equation in polar coordinates with angular dependence (non symmetrical initial condition). That is,
c d2y/dt2 = d4y/dr4
except that d4y/dr4 is just short cut symbolism for the double Laplacian in polar coordinates. I have been successful using a relatively simple explicit finite difference approach for symmetrical initial conditions but the asymmetrical IC's cause a problem. I have been holding off trying to reformulate an implicit finite difference method because there is so much algebraic bookkeeping.
I see that the partial differential solver toolbox does not deal with this problem. Does anyone know about Matlab scripts that deal with this problem?
Thanks.
3 个评论
Alex Cabrera
2020-7-22
hello i need help to program this type of exercise could you help me with the part of finite differences
HAMED AKRAMI
2021-9-1
Hi
I have trouble solving 4th degree PDE equations in MATLAB
Please email me if you can help
hamed.akrami.abar@gmail.com
HAMED AKRAMI
2021-9-1
hi alex ; Email me the solution of this equation in MATLAB with full details
hamed.akrami.abar@gmail.com
采纳的回答
Deepak Ramaswamy
2012-10-17
0 个投票
Hi
Don't know if you're still looking to solve this problem. The link below shows a static plate example of converting a 4th order PDE to a 2nd order PDE in the PDE Toolbox
The trick shown in the example can be extended to the hyperbolic problem as well. You might also want to consider using the eigensolver in the PDE Toolbox if you're interested in looking at modes.
Deepak
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HAMED AKRAMI
2021-9-1
0 个投票
Hi
I have trouble solving PDE equations of order 4 in MATLAB
Please email me if you can help
hamed.akrami.abar@gmail.com
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