### 1.3 Homogeneous Heat PDE in 1D, Semi-inﬁnite domain, No source. Laplace Transform method

The following are analytical solutions to heat PDE in semi-inﬁnite domain $$\left ( 0<x<\infty \right )$$. Laplace transform is used. For each case, the full analytical solution is given and compared to numerical solution in an animation.