hi everyone,

I am trying to solve diffusion-like equation in simplest form
f_t + 1.0*f_xx = 0
and boundary conditions
left: f(0,t) = const1
right: f(1,t) = const2
So, I set the coefficients mu, kappa equal to zero and empty method for calc forcing term .
Then I call FeynmanKac to solve PDE in time grid {0, 1, 2, 4, 8, 16, 32, 64, 128} and get the solutions for every time point and plot it in chart.
The solution is verisimilar, but I see terrible oscillations near the right end of space interval.

What should I provide to avoid these oscillations?

and I can't get how many bound. cond. should I provide for every end (1,2, or 3) ?