Simplifying the solution of the differential equations which describe heat flows in domestic dwellings

A method is presented which simplifies the formal solution of the differential equations describing heat transfer in domestic dwellings. The standard approach involves taking Laplace Transforms of a coupled set of differential equations, each of which describes the heat flow in a building section. The method described here utilises Duhamelʹs Theorem to decouple these differential equations, greatly simplifying the formal solution.