Group properties of the nonlinear heat-conduction equation and the solution of inverse problems

V. V. Frolov

doi:10.1007/bf00861378

Group properties of the nonlinear heat-conduction equation and the solution of inverse problems

Journal of Engineering Physics ◽

10.1007/bf00861378 ◽

1976 ◽

Vol 30 (3) ◽

pp. 363-369

Author(s):

V. V. Frolov

Keyword(s):

Heat Conduction ◽

Inverse Problems ◽

Heat Conduction Equation ◽

Conduction Equation ◽

Nonlinear Heat Conduction ◽

Nonlinear Heat Conduction Equation

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Remarks on wave solutions of the nonlinear heat-conduction equation

Journal of Engineering Physics ◽

10.1007/bf00822128 ◽

1981 ◽

Vol 40 (5) ◽

pp. 565-571 ◽

Cited By ~ 4

Author(s):

V. A. Bubnov

Keyword(s):

Heat Conduction ◽

Heat Conduction Equation ◽

Conduction Equation ◽

Nonlinear Heat Conduction ◽

Wave Solutions ◽

Nonlinear Heat Conduction Equation

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The asymptotic behavior of solution for the nonlinear heat-conduction equation and its application

Acta Mathematica Scientia ◽

10.1016/s0252-9602(17)30446-0 ◽

2001 ◽

Vol 21 (4) ◽

pp. 561-571

Author(s):

Fangnian Cheng ◽

Zhiwen Duan

Keyword(s):

Asymptotic Behavior ◽

Heat Conduction ◽

Heat Conduction Equation ◽

Conduction Equation ◽

Nonlinear Heat Conduction ◽

Asymptotic Behavior Of Solution ◽

Nonlinear Heat Conduction Equation

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A boundary-value problem for a nonlinear heat-conduction equation

Journal of Applied Mechanics and Technical Physics ◽

10.1007/bf00915177 ◽

1971 ◽

Vol 8 (5) ◽

pp. 31-36

Author(s):

K. G. Valeev ◽

Yu. V. Rakitskii

Keyword(s):

Heat Conduction ◽

Boundary Value Problem ◽

Heat Conduction Equation ◽

Boundary Value ◽

Conduction Equation ◽

Nonlinear Heat Conduction ◽

Nonlinear Heat Conduction Equation

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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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Analytic solutions for generalized forms of the nonlinear heat conduction equation

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2011.03.014 ◽

2011 ◽

Vol 12 (5) ◽

pp. 2681-2691 ◽

Cited By ~ 6

Author(s):

M.M. Kabir

Keyword(s):

Heat Conduction ◽

Heat Conduction Equation ◽

Analytic Solutions ◽

Conduction Equation ◽

Nonlinear Heat Conduction ◽

Nonlinear Heat Conduction Equation

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Describing Function Method Applied to Solution of Nonlinear Heat Conduction Equation

Nuclear Science and Engineering ◽

10.13182/nse89-a23651 ◽

1989 ◽

Vol 102 (4) ◽

pp. 408-422

Author(s):

B. Nassersharif

Keyword(s):

Heat Conduction ◽

Heat Conduction Equation ◽

Function Method ◽

Conduction Equation ◽

Nonlinear Heat Conduction ◽

Describing Function ◽

Nonlinear Heat Conduction Equation ◽

Describing Function Method

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Linearization for a nonlinear heat-conduction equation

Journal of Engineering Physics and Thermophysics ◽

10.1007/s10891-006-0120-3 ◽

2006 ◽

Vol 79 (3) ◽

pp. 444-447

Author(s):

I. M. Martynenko

Keyword(s):

Heat Conduction ◽

Heat Conduction Equation ◽

Conduction Equation ◽

Nonlinear Heat Conduction ◽

Nonlinear Heat Conduction Equation

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Solution of nonlinear heat conduction equation and image method

Applied Mathematics and Mechanics ◽

10.1007/bf01910443 ◽

1984 ◽

Vol 5 (4) ◽

pp. 1521-1528 ◽

Cited By ~ 1

Author(s):

Zhang Guan-ren

Keyword(s):

Heat Conduction ◽

Heat Conduction Equation ◽

Conduction Equation ◽

Image Method ◽

Nonlinear Heat Conduction ◽

Nonlinear Heat Conduction Equation

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Constructing numerical solutions to a nonlinear heat conduction equation with boundary conditions degenerating at the initial moment of time

10.1063/1.4967133 ◽

2016 ◽

Cited By ~ 4

Author(s):

L. F. Spevak ◽

A. L. Kazakov

Keyword(s):

Heat Conduction ◽

Boundary Conditions ◽

Heat Conduction Equation ◽

Numerical Solutions ◽

Conduction Equation ◽

Initial Moment ◽

Nonlinear Heat Conduction ◽

Nonlinear Heat Conduction Equation

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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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