Journal of Theoretical
and Applied Mechanics

49, 1, pp. 265-276, Warsaw 2011

Interval boundary element method for transient diffusion problem in two-layered domain

Alicja Piasecka-Belkhayat
In the paper, the description of an unsteady heat transfer for one-dimensional problem proceeding in a two-layered domain is presented. It is assumed that all thermophysical parameters appearing in the mathematical description of the problem analysed are given as directed interval values. The problem discussed has been solved using the 1st scheme of the interval boundary element method. The interval Gauss elimination method has been applied to solve the obtained interval system of equations. In the final part of the paper, results of numerical computations are shown.
Keywords: directed interval arithmetic; interval boundary element method; heat transfer