The problem of solving the one-dimensional heat equation


/

t -
2
/

x
2 =
f(x, t) subject to given initial and nonlocal conditions is considered. It is solved in the Laplace transform domain by taking the Laplace transform of the unknown function

with respect to time
t. The physical solution is recovered with the help of a numerical technique for inverting the Laplace transform.
Keywords heat equation - nonlocal conditions - Laplace transform
AMS Subject Classification (1991): 35K20.