Sinc approximation of the heat distribution on the boundary of a two-dimensional finite slab

摘要

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 front two interior temperature measurements. The problem is ill-posed. The approximation function is represented by a two-dimensional Sine series and the error estimate is given. (C) 2007 Elsevier Ltd. All rights reserved.