Analytical-numerical solution of the inverse problem for the heat conduction equation

Journal of Mechanics of Materials and Structures ◽

10.2140/jomms.2012.7.239 ◽

2012 ◽

Vol 7 (3) ◽

pp. 239-253

Author(s):

Michał Ciałkowski ◽

Andrzej Maćkiewicz ◽

Jan Kołodziej ◽

Uwe Gampe ◽

Andrzej Frąckowiak

Keyword(s):

Inverse Problem ◽

Heat Conduction ◽

Numerical Solution ◽

Heat Conduction Equation ◽

Conduction Equation

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An Inverse Problem for the Heat Conduction Equation, III

Mathematische Nachrichten ◽

10.1002/mana.19821080106 ◽

1982 ◽

Vol 108 (1) ◽

pp. 73-78

Author(s):

Gottfried Anger ◽

Regine Czerner

Keyword(s):

Inverse Problem ◽

Heat Conduction ◽

Heat Conduction Equation ◽

Conduction Equation

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On the stochastic inverse problem for the heat conduction equation

Reports on Mathematical Physics ◽

10.1016/0034-4877(88)90027-4 ◽

1988 ◽

Vol 26 (2) ◽

pp. 245-259 ◽

Author(s):

P. Kazimierczyk

Keyword(s):

Inverse Problem ◽

Heat Conduction ◽

Heat Conduction Equation ◽

Conduction Equation

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THE NUMERICAL SOLUTION OF THE HEAT CONDUCTION EQUATION OCCURRING IN THE THEORY OF THERMAL EXPLOSIONS

10.21236/ad0116873 ◽

1956 ◽

Author(s):

J. W. ENIG ◽

D. SHANKS ◽

R. W. SOUTHWORTH

Keyword(s):

Heat Conduction ◽

Numerical Solution ◽

Heat Conduction Equation ◽

Conduction Equation ◽

Thermal Explosions

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Numerical solution of the two-dimensional heat-conduction equation with strongly varying coefficients

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(79)90180-0 ◽

1979 ◽

Vol 19 (4) ◽

pp. 291-296 ◽

Author(s):

M.D. Taran ◽

A.P. Favorskii

Keyword(s):

Heat Conduction ◽

Numerical Solution ◽

Heat Conduction Equation ◽

Conduction Equation ◽

Two Dimensional ◽

Varying Coefficients

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Difference schemes for the numerical solution of the heat conduction equation with aftereffect

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543811090100 ◽

2011 ◽

Vol 275 (S1) ◽

pp. 137-148 ◽

Author(s):

V. G. Pimenov ◽

A. B. Lozhnikov

Keyword(s):

Heat Conduction ◽

Numerical Solution ◽

Heat Conduction Equation ◽

Difference Schemes ◽

Conduction Equation

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Control of Crank-Nicolson noise in the numerical solution of the heat conduction equation

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620110703 ◽

1977 ◽

Vol 11 (7) ◽

pp. 1059-1065 ◽

Author(s):

W. L. Wood

Keyword(s):

Heat Conduction ◽

Numerical Solution ◽

Heat Conduction Equation ◽

Conduction Equation ◽

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The use of energy lLagrangian coordinates for a numerical solution of the one-dimensional heat conduction equation

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(86)90099-6 ◽

1986 ◽

Vol 26 (4) ◽

pp. 195-198

Author(s):

Yu.A. Bondarenko ◽

V.N. Sofronov

Keyword(s):

Heat Conduction ◽

Numerical Solution ◽

Heat Conduction Equation ◽

Conduction Equation ◽

One Dimensional ◽

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The Numerical Solution of the Heat Conduction Equation Subject to Separated Boundary Conditions

The Computer Journal ◽

10.1093/comjnl/12.1.82 ◽

1969 ◽

Vol 12 (1) ◽

pp. 82-87 ◽

Author(s):

M. R. Osborne

Keyword(s):

Heat Conduction ◽

Boundary Conditions ◽

Numerical Solution ◽

Heat Conduction Equation ◽

Conduction Equation ◽

Separated Boundary Conditions

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Convergence of the alternating direction method for the numerical solution of a heat conduction equation with delay

Proceedings of the Steklov Institute of Mathematics ◽

10.1134/s0081543811020088 ◽

2011 ◽

Vol 272 (S1) ◽

pp. 101-118 ◽

Author(s):

A. V. Lekomtsev ◽

V. G. Pimenov

Keyword(s):

Heat Conduction ◽

Numerical Solution ◽

Heat Conduction Equation ◽

Alternating Direction Method ◽

Conduction Equation ◽

Alternating Direction ◽

Equation With Delay

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Investigation of laminar flow through solution of inverse problem for heat conduction equation

Mechanics Research Communications ◽

10.1016/s0093-6413(02)00214-8 ◽

2001 ◽

Vol 28 (6) ◽

pp. 623-628

Author(s):

M. Ciałkowski ◽

A. Frąckowiak ◽

J.A. Kolodziej

Keyword(s):

Inverse Problem ◽

Heat Conduction ◽

Laminar Flow ◽

Heat Conduction Equation ◽

Conduction Equation ◽

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