Details

Title

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

Journal title

Archives of Thermodynamics

Yearbook

2016

Numer

No 4

Publication authors

Divisions of PAS

Nauki Techniczne

Publisher

The Committee on Thermodynamics and Combustion of the Polish Academy of Sciences

Date

2016

Identifier

ISSN 1231-0956 ; eISSN 2083-6023

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

DOI

10.1515/aoter-2016-0028

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