These function deal with problems involving transient response of a semi-infinite medium to a specific boundary condition as described in Section 3.3.4 of Nellis and Klein.

A semi-infinite body is a solid that extends to infinity in all but one direction. It is characterized by a single identifiable surface. In practice, a solid does not need to be infinite in all directions, rather it must be sufficiently long in the directions not considered such that the other bounds play an insignificant part in determining the temperature in the considered volume.

Assumptions: The semi-infinite medium has uniform and constant properties.

These functions deal with problems involving transient response of 1-dimensional geometries to convection boundary conditions

These functions deal with problems involving transient response of 1-dimensional geometries to convection boundary conditions in non-dimensional coordinates.