Title

Solution of inverse heat conduction equation with the use of Chebyshev polynomials

Journal title

Archives of Thermodynamics

Yearbook

2016

Issue

No 4

Authors

Joachimiak, Magda ; Ciałkowski, Michał ; Frąckowiak, Andrzej

Keywords

Laplace’s equation ; boundary inverse problem ; quasi-Cauchy problem ; stability of the inverse problem

Divisions of PAS

Nauki Techniczne

Coverage

73-88

Publisher

The Committee of Thermodynamics and Combustion of the Polish Academy of Sciences and The Institute of Fluid-Flow Machinery Polish Academy of Sciences

Date

2016

Type

Artykuły / Articles

Identifier

DOI: 10.1515/aoter-2016-0028

Source

Archives of Thermodynamics; 2016; No 4; 73-88

References

Joachimiak (2014), Optimal choice of integral parameter in a process of solving the inverse problem for heat equation, Arch Thermodyn, 265. ; Shidfar (2006), An inverse heat conduction problem with a nonlinear source term Nonlinear, Analysis, 615. ; Liu (2015), An iterative algorithm for identifying heat source by using a DQ and a Lie - group method, Inverse Probl Sci En, 23, 1, doi.org/10.1080/17415977.2013.793322 ; Taler (2011), Inverse heat transfer problem in digital temperature control in plate fin and tube heat exchangers, Arch Thermodyn, 17. ; Liu (2015), Recovering a heat source and initial value by a Lie - group differential algebraic equations method, Numer Heat Tr B Fund, 231, doi.org/10.1080/10407790.2014.955773 ; Nguyen (2015), Two new regularization methods for solving sideways heat equation, Inequal Appl, 1. ; Wang (2016), A BEM formulation in conjunction with parametric equation approach for three - dimensional Cauchy problems of steady heat conduction, Eng Anal Bound Elem, 1, doi.org/10.1016/j.enganabound.2015.10.007 ; Ciałkowski (2010), A sequential and global method of solving an inverse problem of heat conduction equation -, Mech Pol, 1. ; Mierzwiczak (2011), The determination temperature - dependent thermal conductivity as inverse steady heat conduction problem, Int J Heat Mass Tran, 790, doi.org/10.1016/j.ijheatmasstransfer.2010.10.024 ; Marois (2012), What is the most suitable fixed grid solidification method for handling time - varying inverse Stefan problems in high temperature industrial furnaces ?, Int J Heat Mass Tran, 5471, doi.org/10.1016/j.ijheatmasstransfer.2012.05.011 ; Solodusha (2015), Numerical solving an inverse boundary value problem of heat conduction using Volterra equations of the first kind, Num Anal Appl, 267, doi.org/10.1134/S1995423915030076 ; Xiong (2013), Regularization error analysis on a one - dimensional inverse heat conduction problem in multilayer domain, Inverse Probl Sci En, 21, 865, doi.org/10.1080/17415977.2013.788168 ; Frąckowiak (2015), Iterative algorithm for solving the inverse heat conduction problems with the unknown source function, Inverse Probl Sci En, 23, 1056, doi.org/10.1080/17415977.2014.986723 ; Taler (2014), Measurements of local heat flux to membrane water wal ls of combustion chambers, Fuel, 70, doi.org/10.1016/j.fuel.2013.06.033 ; Yaparova (2014), Numerical methods for solving a boundary - value inverse heat conduction problem, Inverse Probl Sci En, 22, 832, doi.org/10.1080/17415977.2013.830614

Editorial Board

International Advisory Board

J. Bataille, Ecole Central de Lyon, Ecully, France

A. Bejan, Duke University, Durham, USA

W. Blasiak, Royal Institute of Technology, Stockholm, Sweden

G. P. Celata, ENEA, Rome, Italy

L.M. Cheng, Zhejiang University, Hangzhou, China

M. Colaco, Federal University of Rio de Janeiro, Brazil

J. M. Delhaye, CEA, Grenoble, France

M. Giot, Université Catholique de Louvain, Belgium

K. Hooman, University of Queensland, Australia

D. Jackson, University of Manchester, UK

D.F. Li, Kunming University of Science and Technology, Kunming, China

K. Kuwagi, Okayama University of Science, Japan

J. P. Meyer, University of Pretoria, South Africa

S. Michaelides, Texas Christian University, Fort Worth Texas, USA

M. Moran, Ohio State University, Columbus, USA

W. Muschik, Technische Universität Berlin, Germany

I. Müller, Technische Universität Berlin, Germany

H. Nakayama, Japanese Atomic Energy Agency, Japan

S. Nizetic, University of Split, Croatia

H. Orlande, Federal University of Rio de Janeiro, Brazil

M. Podowski, Rensselaer Polytechnic Institute, Troy, USA

A. Rusanov, Institute for Mechanical Engineering Problems NAS, Kharkiv, Ukraine

M. R. von Spakovsky, Virginia Polytechnic Institute and State University, Blacksburg, USA

A. Vallati, Sapienza University of Rome, Italy

H.R. Yang, Tsinghua University, Beijing, China