Formulation Of Successive Integration Method In Heat Conduction
Author(s)
B. Obsieger
Abstract
Formulation of successive integration method
in heat conduction
B. Obsieger
University of Rijeka, Faculty of Engineering, Croatia
Abstract
This paper proposes application of the successive integration method (SIM) for
solving differential equation of heat conduction. The SIM is evolved from the
Monte Carlo method. Although the Monte Carlo method is probabilistic in
nature, the deterministic SIM can be obtained by the appropriate application of
ordinary expression for the summation of elements in geometric progression.
The SIM consists in successive expansion of integrated area by re-calculation of
interaction coefficients between points at the actual boundary of integrated area
and the arbitrary chosen set of points where the temperature will be calculated.
During the process of integration, it is necessary to memorise only mentioned
interaction coefficients; thus, in the most cases the required computer storage
capacity will be lesser than those required even for iteration methods. That will
Keywords
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