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So is helmholtz equation a form of Poisson Equation?

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- Thread starter yungman
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In summary, the Helmholtz equation and Poisson's equation are both second order PDEs, but the latter is more general as the function f can be any value, while in the Helmholtz equation, f is equal to -ku. The separation of variables method can be used to solve certain types of the Helmholtz equation. While they have similarities, one is not a subset or form of the other.

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So is helmholtz equation a form of Poisson Equation?

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In the solution of certain types of the Helmholtz equation, the separation of variables can be utilized.

http://en.wikipedia.org/wiki/Helmholtz_equation

http://en.wikipedia.org/wiki/Poisson's_equation

The generality of 'f' in Poisson's equation makes it trickier to solve than Laplace.

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Thanks for the reply, I understand the difference between the two. But Helmholtz is also in form of Poisson, only when ##f=-ku##. So, can I say Helmholtz is a subset or one form of Poission Equation?

Thanks

Thanks

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yungman said:Thanks for the reply, I understand the difference between the two. But Helmholtz is also in form of Poisson, only when ##f=-k\nabla^2 u##. So, can I say Helmholtz is a subset or one form of Poission Equation?

Thanks

I think you mean when f = -ku

FWIW, sure, go ahead.

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SteamKing said:I think you mean when f = -ku

FWIW, sure, go ahead.

Yes, my bad. What is FWIW?

Thanks

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FWIW = For What It's Worth

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Thanks everyone.

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