paper

Sinc Approximation of the Heat Distribution on the Boundary of a Two-Dimensional Finite Slab

arXiv:0705.2824

Abstract

We consider the two-dimensional problem of recovering globally in time the heat distribution on the surface of a layer inside of a heat conducting body from two interior temperature measurements. The problem is ill-posed. The approximation function is represented by a two-dimensional Sinc series and the error estimate is given.

10 pages