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

Abstract

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.

Citation

Ang, W. (2002), "A Laplace transformation dual‐reciprocity boundary element method for a class of two‐dimensional microscale thermal problems", Engineering Computations, Vol. 19 No. 4, pp. 467-478. https://doi.org/10.1108/02644400210430217