How to solve Reaction-Diffusion equation with Dirac Delta function using PointSource

Question

Hi! I'm trying to solve this simple equation:
ut = ∆u+u
u(x, 0) = δ(x),
u(0, t) = 1, boundary condition
The euqation is time-dependent. The initial condition is the delta function, and the boundary condition is a constant(1), I've been trying to solve using different ways but with no success.Actually, i'm really new in Fenics. I don't know how to apply he PointSource. If someone could help me, I will be greateful. Many thanks!

Answer 1

Maybe the next pair of related questions can be useful for you:

• point source in RHS of heat eq.
• Applying the Dirac Delta Function w/o using the Fenics PointSource function.