Loughborough University
Browse
02-15.pdf (287.33 kB)

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

Download (287.33 kB)
preprint
posted on 2005-08-25, 11:11 authored by Y.V. Kurylev, N. Mandache, K.S. Peat
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.

History

School

  • Science

Department

  • Mathematical Sciences

Pages

294221 bytes

Publication date

2002

Notes

This pre-print has been submitted, and accepted, to the journal, Inverse Problems [© Institute of Physics]. The definitive version: KURYLEV, Y.V., MANDACHE, N. and PEAT, K.S., 2003.Hausdorff moments in an inverse problem for the heat equation: numerical experiment. Inverse Problems,19(2), pp. 253-264, is available at: http://www.iop.org/EJ/journal/IP.

Language

  • en

Usage metrics

    Loughborough Publications

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC