Acta Mathematica Vietnamica
Search within journal
Volumes and issues
DETERMINATION OF THE INTERNAL HEAT SOURCE FOR A HALF-BURIED ROD
VU KIM TUAN, FADHEL AL-MUSALLAMpp. 517-535
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.