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Acta Mathematica Vietnamica

DETERMINATION OF THE INTERNAL HEAT SOURCE FOR A HALF-BURIED ROD

VU KIM TUAN, FADHEL AL-MUSALLAM

Abstract

The paper considers a one-dimensional heat transfer in a perfectly lateral insulated uniform rod, which is partially exposed for measurement at one end, and proposes an algorithm that uniquely recovers the heat source proportional coefficient, the coefficient of convective heat transfer from a countable set of temperature recordings at one end of the rod. The length of the rod can be recovered by just one single measurement.