On the application of an integral equation method for the solution of heat transfer problems in heterogeneous and cellular media

The extension of integral methods for the bending of plates to the problem of heat transfer is demonstrated for steady and unsteady cases. Steady state problems are considered in terms of Green's function and the Laplacian operator. Unsteady problems are treated with a Taylor series expansion, with an alternating solution between the interior and limiting surfaces defined by matrices that are smaller than those used in other methods.