1.3.1 Left end nonhomogeneous Dirichlet, No source term,
zero initial conditions

1.3.1.1 Analytical Solution

1.3.1.2 Animation

1.3.2 Left end nonhomogeneous and time dependent Dirichlet, No source term, zero initial conditions

1.3.2.1 Analytical Solution

1.3.2.2 Animation

1.3.1.1 Analytical Solution

1.3.1.2 Animation

1.3.2 Left end nonhomogeneous and time dependent Dirichlet, No source term, zero initial conditions

1.3.2.1 Analytical Solution

1.3.2.2 Animation

The following are analytical solutions to heat PDE in semi-infinite domain . Laplace transform is used. For each case, the full analytical solution is given and compared to numerical solution in an animation.