plot – How to include boundary conditions in the thermal conduction problem and the plot?

It is a problem of 1-D thermal conduction for a 5 cm circular rod, T (x, 0) = 0, T (infinity, t) = 0, the left limit is isolated.

I'm trying to use the numerical method over, but the first question is how could I write the left terminal condition, the second question is how to plot the temperature profile and heat flow to x = 5cm?

[Lambda]    = 0.0035
imax = 5;
lmax = 300;
For[i = 1, i < imax, i++, T[0, i] = 0];
For[l = 0, i < lmax + 1, l++, T[l, imax] = 0, left boundary condition];
For[l = 0, l < lmax, l++,
 For[i = 1, i < imax, i++,
  T[l + 1, i] = [Lambda]* (T[l, i + 1] - 2 * T[l, i] + T[l, i - 1]+
T[l, i]]]a = table[T[T[T[T[l, i], {l, 0, lmax}, {i, 0, imax}];