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Can I use COMSOL to solve integral equations?

Posted 2012/12/02 10:05 GMT-5 Parameters, Variables, & Functions 7 Replies

Pu
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Dear all,

I have some integral equation to solve. Can I do that with COMSOL or I always need to change it to PDE?

Thanks a lot!
7 Replies Last Post 2013/05/30 8:53 GMT-4
Nagi Elabbasi Facebook Reality Labs
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Posted: 1 decade ago 2012/12/03 11:40 GMT-5
Hi Pu,

I never tried it myself but there is one interesting example in the documentation that solves an integro- partial differential equation for radiation in pipes. Search the documentation for “Integro”.

Nagi Elabbasi
Veryst Engineering
Hi Pu, I never tried it myself but there is one interesting example in the documentation that solves an integro- partial differential equation for radiation in pipes. Search the documentation for “Integro”. Nagi Elabbasi Veryst Engineering
Pu
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Posted: 1 decade ago 2012/12/03 11:53 GMT-5
Hi, Nagi Elabbasi

Thanks for the reply! I will check it.
Hi, Nagi Elabbasi Thanks for the reply! I will check it.
Arsen Subashiev
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Posted: 1 decade ago 2013/02/01 15:38 GMT-5
Yes you can, as well as integro-differential equations. There is an example in documentation, rather strightforward.
I have done it for the radiation transfer problem.

However, actually it is doable only for 1-dim case. For more complicated geometry I have not found the way to do it.
Best,

Arsen Subashiev,
ECE at Stony Brook

subashiev@ece.sunysb.edu
Yes you can, as well as integro-differential equations. There is an example in documentation, rather strightforward. I have done it for the radiation transfer problem. However, actually it is doable only for 1-dim case. For more complicated geometry I have not found the way to do it. Best, Arsen Subashiev, ECE at Stony Brook subashiev@ece.sunysb.edu
Stevie89
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Posted: 1 decade ago 2013/02/01 17:52 GMT-5
I find that Zimmerman's book has excellent examples of how to solve integral equations. I have just made up a simple example for solving:

u(x)=cos(x)+int(sin(x-y)*u(y),y=0..pi)

The key really is to use the dest() operator in the integral for where you dont have the dummy varible, and I do believe that you can use dest(x) and dest(y) to solve 2D integral equations.

Hope it helps.
I find that Zimmerman's book has excellent examples of how to solve integral equations. I have just made up a simple example for solving: u(x)=cos(x)+int(sin(x-y)*u(y),y=0..pi) The key really is to use the dest() operator in the integral for where you dont have the dummy varible, and I do believe that you can use dest(x) and dest(y) to solve 2D integral equations. Hope it helps.

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Krithika Mohan
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Posted: 1 decade ago 2013/05/29 21:00 GMT-4
I am unable to open the model file that you have posted, because I am using COMSOL versions 4.2a, and 4.3. Could you post a model file showing integration , in COMSOL 4.2a or 4.3.


Krithika Mohan
I am unable to open the model file that you have posted, because I am using COMSOL versions 4.2a, and 4.3. Could you post a model file showing integration , in COMSOL 4.2a or 4.3. Krithika Mohan
Stevie89
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Posted: 1 decade ago 2013/05/30 7:22 GMT-4
The model was done in version 4.3a but I happen to have 4.3 so here you go.

Hope it helps
The model was done in version 4.3a but I happen to have 4.3 so here you go. Hope it helps

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Pavel Dergachev
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Posted: 1 decade ago 2013/05/30 8:53 GMT-4
it's great.
it's great.

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