Advantages/Disadvantages of Helmholtz's Equation & Examples/Algorithms

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hy everybody..i need some help here to finish up my project about Helmholtz`s equation..

1. What are the Avantages/disadvantages of the Helmholtz`s equation?
2. Where can i find the example or the easy way to understand about this equation?
3. Algorithm for this equation?

:confused:
 
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Interesting topic. You made a project. What have you worked out so far ? What are your ideas about the answers to the 3 questions ?
 
i`ve found dat dis equation basically is related to elliptic partial differential equation..and i hv only found the general advantage of this method.
 
anyone can help me please..
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
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