Numerical solution of multi-dimensional transient nonlinear heat conduction problems with heat sources by an extended element differential method

International Journal of Heat and Mass Transfer ◽

10.1016/j.ijheatmasstransfer.2018.05.100 ◽

2018 ◽

Vol 126 ◽

pp. 1111-1119 ◽

Cited By ~ 8

Author(s):

Miao Cui ◽

Bing-Bing Xu ◽

Jun Lv ◽

Xiao-Wei Gao ◽

Yuwen Zhang

Keyword(s):

Heat Conduction ◽

Numerical Solution ◽

Differential Method ◽

Heat Sources ◽

Nonlinear Heat Conduction ◽

Extended Element

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Solution of a nonlinear heat-conduction equation for volume heat sources

Journal of Engineering Physics ◽

10.1007/bf00829402 ◽

1970 ◽

Vol 18 (5) ◽

pp. 651-653

Author(s):

O. A. �ismont

Keyword(s):

Heat Conduction ◽

Heat Conduction Equation ◽

Conduction Equation ◽

Heat Sources ◽

Nonlinear Heat Conduction ◽

Volume Heat ◽

Nonlinear Heat Conduction Equation

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The principles of information processing based on the numerical solution of the nonlinear heat-conduction problem. Pt. 1. The three-dimensional discrete mathematical model

Measurement Techniques ◽

10.1007/s11018-007-0201-5 ◽

2007 ◽

Vol 50 (10) ◽

pp. 1081-1086 ◽

Cited By ~ 1

Author(s):

I. N. Ishchuk

Keyword(s):

Mathematical Model ◽

Information Processing ◽

Heat Conduction ◽

Numerical Solution ◽

Heat Conduction Problem ◽

Three Dimensional ◽

Nonlinear Heat Conduction ◽

Discrete Mathematical Model

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The principles of data processing based on the numerical solution of the nonlinear heat-conduction problem Pt. 2. The coefficient functional optimization problem in a variational formulation

Measurement Techniques ◽

10.1007/s11018-008-9007-3 ◽

2008 ◽

Vol 51 (2) ◽

pp. 184-187 ◽

Cited By ~ 1

Author(s):

I. N. Ishchuk

Keyword(s):

Heat Conduction ◽

Data Processing ◽

Numerical Solution ◽

Variational Formulation ◽

Optimization Problem ◽

Heat Conduction Problem ◽

Nonlinear Heat Conduction ◽

Functional Optimization

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Numerical solution of radiative transfer equation coupled with nonlinear heat conduction equation

International Journal of Numerical Methods for Heat &amp Fluid Flow ◽

10.1108/eum0000000005528 ◽

2001 ◽

Vol 11 (5) ◽

pp. 449-473 ◽

Cited By ~ 19

Author(s):

F. Asllanaj ◽

G. Jeandel ◽

J.R. Roche

Keyword(s):

Heat Conduction ◽

Radiative Transfer ◽

Numerical Solution ◽

Transfer Equation ◽

Heat Conduction Equation ◽

Radiative Transfer Equation ◽

Conduction Equation ◽

Nonlinear Heat Conduction ◽

Nonlinear Heat Conduction Equation

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TRANSIENT HEAT CONDUCTION IN WIRES WITH HEAT SOURCES; LUMPED AND DISTRIBUTED SOLUTION TECHNIQUES

Heat Transfer Research ◽

10.1615/heattransres.2016012206 ◽

2016 ◽

Vol 47 (8) ◽

pp. 753-765 ◽

Cited By ~ 1

Author(s):

Federico Scarpa ◽

Mattia De Rosa

Keyword(s):

Heat Conduction ◽

Transient Heat Conduction ◽

Heat Sources ◽

Solution Techniques

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Numerical Solution using SPH Method: An Application to Transient Heat Conduction

10.26678/abcm.cobem2019.cob2019-0748 ◽

2019 ◽

Author(s):

Almério José Venâncio Pains Soares Pamplona ◽

Karoliny Freitas Silva ◽

Cláudio Bucar Filho ◽

Joel Vasco

Keyword(s):

Heat Conduction ◽

Numerical Solution ◽

Transient Heat Conduction ◽

Sph Method

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Global Existence and Asymptotic Stability in Nonlinear Heat Conduction

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1994.1447 ◽

1994 ◽

Vol 188 (2) ◽

pp. 590-609 ◽

Cited By ~ 3

Author(s):

F. Franchi ◽

A. Morro

Keyword(s):

Heat Conduction ◽

Asymptotic Stability ◽

Global Existence ◽

Nonlinear Heat Conduction

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Integro-differential method of solving the inverse coefficient heat conduction problem

Journal of Engineering Physics and Thermophysics ◽

10.1007/s10891-010-0319-1 ◽

2010 ◽

Vol 83 (1) ◽

pp. 60-71 ◽

Cited By ~ 4

Author(s):

V. L. Baranov ◽

A. A. Zasyad’ko ◽

G. A. Frolov

Keyword(s):

Heat Conduction ◽

Heat Conduction Problem ◽

Differential Method ◽

Inverse Coefficient

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Discontinuous solutions in problems of nonlinear heat conduction

Journal of Engineering Physics ◽

10.1007/bf00828396 ◽

1969 ◽

Vol 17 (1) ◽

pp. 867-872

Author(s):

V. V. Frolov

Keyword(s):

Heat Conduction ◽

Nonlinear Heat Conduction ◽

Discontinuous Solutions

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Analytical Solution and Numerical Simulation for One-Dimensional Steady Nonlinear Heat Conduction in a Longitudinal Radial Fin with Various Profiles

Heat Transfer-Asian Research ◽

10.1002/htj.21104 ◽

2013 ◽

Vol 44 (1) ◽

pp. 20-38 ◽

Cited By ~ 10

Author(s):

R.J. Moitsheki ◽

M.M. Rashidi ◽

A. Basiriparsa ◽

A. Mortezaei

Keyword(s):

Numerical Simulation ◽

Heat Conduction ◽

Analytical Solution ◽

Nonlinear Heat Conduction ◽

One Dimensional

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