Sl. Hou et al., A DISCRETE ELEMENT METHOD FOR COMPOSITE MEDIA - ONE-DIMENSIONAL HEAT-CONDUCTION, International journal of heat and mass transfer, 36(12), 1993, pp. 3009-3016
Green's functions for steady-state, one-dimensional heat conduction fo
r discretely inhomogeneous media are found by using an interactive pri
nciple. Exact solutions can therefore be expressed by Green's represen
tation. An unsteady problem is solved numerically by treating the time
derivative as a source term. The results demonstrate accuracy, stabil
ity, and efficiency.