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

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

2007-05-19

arxiv.org/abs/0705.2824v1

Nonlinear Analysis Real World Applications, 9 (2008) 1103-1111

Mathematics

Analysis of PDEs

10 pages

Scientific paper

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.

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