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Solution of energy equation using the interval boundary element method

Piasecka-Belkhayat A.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2007

Vol. 6, nr 1

219-226

In the paper the 1D energy equation with an interval source function is considered. For this type of equation the 1st scheme of the interval boundary element method is presented. As an example the pure metal crystallization process is analyzed. In the final part of the paper the results of numerical computations for the cooper crystallization process with the interval source function are shown.

Interval boundary element method for 1D transient diffusion problem

Piasecka Belkhayat A.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

2006

Vol. 5, nr 1

176-184

In this paper the description of an unsteady heat transfer for one-dimensional problem is presented. It is assumed that all thermophysical parameters (specific heat, mass density and heat conduction) are given as 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 the paper the results of numerical computations are shown.