How to Solve a Heat Equation Using FFCT?

[Aows]

but Mr. @Orodruin , when i asked about the mathematical meaning of the stationary solutions you only replied with a definition. and i need to know how to apply it mathematically, any hints about how to apply it ?

 

[Jorgen1224]

Sorry for asking it here, but i wanted to know what are these FFCT and FFST? Is it like some special method or something related to this exercise? Can't find it in the internet.

 

[TSny]

FFCT is "finite Fourier cosine transformation". Likewise, FFST is "finite Fourier sine transformation". See for example http://www.math.usm.edu/lambers/mat417/lecture18.pdf

"finite" just refers to the fact that the range of integration in the transformation is finite.