Session 4: Solution to 1- dimensional heat (diffusion) equation with zero boundary conditions.

In this video we will derive solution to one dimensional heat (diffusion) equation when the boundary conditions are zero.

We will also need some Fourier series to understand this video, for that you can refer:

[gaaraofddarkness]

@ 19:30 is it a coincidence that the period of f(x) is 0 to L and on rhs we have sin(npix/L) which is required to het the coefficients..?

[kedarshiralkar]

Sir, shouldn't L be 10m for standard units? or if in cm, shouldn't the 10^-3 factor be multiplied?

[RajuYadav-bbxh]

Sir if the answer for Bn is having 'n' in it ( for example Bn= (a/n²)(sin(nπ/2) ) then how to find the value of n in such cases? Or we have to leave it as it is?

[smd_]

sir is c^2 used here is same as wave eqn