Interval boundary element method for 2D transient diffusion problem using the directed interval arithmetic

Abstract: In this paper the description of an unsteady heat transfer for a two-dimensional problem is presented. It is assumed that all thermophysical parameters appearing in the mathematical model of the problem analyzed are given as directed intervals. The problem discussed has been solved using the 1st scheme of the boundary element method. The interval Gauss elimination method with the decomposition procedure has been applied to solve the obtained interval system of equations. In the final part of this paper results of the numerical computations are shown. [ABSTRACT FROM AUTHOR]