A Dual Reciprocity Method for a Class of Heat Conduction Problems in Two-Layered Materials

In this paper, problems involving steady heat conduction
in two-layered materials are considered. The problems
are governed by diffusion equations. These equations may be
solved analytically for a limited number of problems. Hence, a numerical method is needed to solve these problems. In this paper, a numerical method known as the Dual Reciprocity
Method (DRM) is employed to solve the problems numerically.
To test the accuracy of the numerical method, three problems
with analytical solutions are solved numerically using the DRM. Comparisons between numerical and corresponding analytical solutions are presented and discussed. Moreover, problems with unknown analytical solutions are solved numerically by employing the method. Some numerical results are presented to verify the effect of material diversity to the heat conduction.