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for different types of equations and dimensions.

I have tried to use google but with no success.

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- Thread starter JohanL
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for different types of equations and dimensions.

I have tried to use google but with no success.

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rcgldr

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FredGarvin

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I can't honestly say that I have seen anything tabulated. I can't say that I have ever looked for anything like that though either. I was always under the impression that green fuctions are dependent on boundary conditions and the Diff. Eq's being used. I'll keep my eyes open to see if I find anything. You might try searching with "Green's functions" as well. I have heard them refered to in both ways.

EDIT: The first hit I got using the "green's function" search...

http://mathworld.wolfram.com/GreensFunction.html

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Thx. Yes they are dependent on boundary conditions. But for the more simple cases i was sure to find tables of green functions.FredGarvin said:I can't honestly say that I have seen anything tabulated. I can't say that I have ever looked for anything like that though either. I was always under the impression that green fuctions are dependent on boundary conditions and the Diff. Eq's being used. I'll keep my eyes open to see if I find anything. You might try searching with "Green's functions" as well. I have heard them refered to in both ways.

Something like

[tex]-\frac {1} {2\pi}ln(\rho_1- \rho_2) ;\frac {i} {4}H_0[k(\rho_1- \rho_2)];\frac {1} {2\pi}K_0[k(\rho_1- \rho_2)][/tex]

for Laplace, Helmholtz and modified Helmholtz in the plane when G goes to 0 as r goes to infinity.

And also in 3 dimensions, for a sphere with homegenous diricihlet on the boundary, the diffusion equation, the wave equation etc.

Green functions are very useful when solving P.D.E and therefor i thought i could find some good tables. But none of my mathematical handbooks have this and i havent found any on internet yet either.

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There exists no such list since a "Green Function" is any function whose Laplacian equals [itex]\delta[/itex](|x-x'|). There is an infinity of such functions.JohanL said:

for different types of equations and dimensions.

I have tried to use google but with no success.

Pete

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pmb_phy said:There exists no such list since a "Green Function" is any function whose Laplacian equals [itex]\delta[/itex](|x-x'|). There is an infinity of such functions.

Thats the Green function for the Laplace operator.

How is a general green function different from general solutions to ODEs, integrals etc? There are tables of those.

I found a short table of green functions in Arfken.

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WMGoBuffs said:

Thx, but thats probably Laplace and Poisson differential operator only?

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Rade

You may find these books useful:http://www.worldscibooks.com/physics/p067.htmlJohanL said:I need a list of Green functions, for different types of equations and dimensions.

https://www.amazon.com/gp/product/1584881100/?tag=pfamazon01-20

Also, try these links:

http://www.amath.washington.edu/courses/351-summer-2002/notes/GreensFunctions.pdf

http://home.comcast.net/~jamesverebeck/sgreen.pdf

http://webphysics.davidson.edu/Faculty/wc/WaveHTML/node6.html#tablePDEs

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Thanks for your answer!

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