Help me for the step by step solution by 1-D Diffusion equation which is du/dt=(c^2/r)*d/dr(rdu/dr) and bessel equation=> r^2*d^2F/dr^2+(1/r)dF/dr+ (kr)^2*F=0 and this equal to F(r)= c3Jo(kr)+c4Yo(kr) The way to solve this question is important. Diffusion equation have to be used.

Consider the following elliptic equation in cylindrical coordinates Ou r or or Here 0 S r S R and 0 S z L where R 2, and L 10 If the boundary conditions are given as; u(r,0) 80 u(r,L) 0 u (R, z- 0 Plot u vs. r at z 2, 5 and 8. For plotting approximate the upper limit of the series with 10. Solve the above equation to obtain u(r,z). Show all your steps including any computer programs you used