What is the equation for error function in heat transfer?

[Saint]

In heat transfer, some formulae are expressed in error function. what is it ?

How do we get the equation for error function ?[?]

 

[On Radioactive Waves]

Isn't the error function e ^{-x 2} ? Thats all I know...

 

[Guybrush Threepwood]

try this

 

[KLscilevothma]

Originally posted by On Radioactive Waves
Isn't the error function e ^{-x 2} ? Thats all I know...

I've heard it's called imaginary error function in full.

 

[Hurkyl]

Almost... erf(x) is:

erf(x) = (2 / sqrt(π)) ∫_0..x e^-x2 dx

It's immediate use is that it's the integral of a gaussian distribution, so it's directly applicable to statistical problems.

More generally, I understand that a lot of nonelementary functions can be expressed in terms of combinations of elementary functions and error functions, so erf expands the expressive power of closed forms.

 

[plus]

It comes up when solving some differential equations, and it is thus good to have tabulated.

 

[quartodeciman]

Here is a tad bit more ---->

Gaussian, Error and Complementary Error function