A Laplace transformation dual-reciprocity boundary element method for a class of two-dimensional microscale thermal problems

The numerical solution of a two-dimensional thermal problem governed by a third-order partial differential equation derived from a non-Fourier heat flux model which may account for thermal waves and or microscopic effects is considered. A dual-reciprocity boundary element method is proposed for solving the problem in the Laplace transformation domain. The solution in the physical domain is recovered by a numerical inverse Laplace transformation technique.