I'm looking to solve the PDE given below:
d2y/dx2 - y + f(x,t) = dy/dt
here - f(x,t) is a source term depending on location "x" and time "t"
Initial Condition: y(x,0) = 0
Boundary condition: y(x=0, t) = 0
y(x=L, t) = -dy/dx (robin boundary condition or mixed boundary condition at x = L; this is for convection)
Can this be solved using matlab's pdepe solver? If so, how? If not, what toolbox/command is needed to solve this type of PDE?