Hausdorff moments in an inverse problem for the heat equation: numerical experiment

Abstract

In this paper we consider the inverse boundary problem for the heat equation Deltau(x, t) = rho(x)partial derivative(t)u(x, t) in a bounded domain Omega subset of R-2. We develop and test numerically an algorithm of an approximate reconstruction of the unknown p(x). This algorithm is based on the moments' method for the heat equation developed by Kawashita, Kurylev and Soga.