Solving boundary-value problems in heat conduction by the method of successively averaging the unknown function

Journal of Engineering Physics ◽

10.1007/bf00829442 ◽

1972 ◽

Vol 22 (4) ◽

pp. 479-484 ◽

Author(s):

A. Akaev ◽

G. N. Dul'nev

Keyword(s):

Heat Conduction ◽

Boundary Value Problems ◽

Unknown Function ◽

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A NOTE ON UNIQUENESS PROOFS FOR BOUNDARY-VALUE PROBLEMS IN POTENTIAL THEORY AND STEADY HEAT CONDUCTION

The Quarterly Journal of Mechanics and Applied Mathematics ◽

10.1093/qjmam/6.4.385 ◽

1953 ◽

Vol 6 (4) ◽

pp. 385-390

Author(s):

M. E. RAYNER

Keyword(s):

Heat Conduction ◽

Boundary Value Problems ◽

Potential Theory ◽

Boundary Value ◽

Steady Heat Conduction ◽

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Approximation procedure for boundary-value problems of heat conduction

Journal of Engineering Physics ◽

10.1007/bf00872658 ◽

1985 ◽

Vol 49 (2) ◽

pp. 992-998

Author(s):

V. G. Guzii

Keyword(s):

Heat Conduction ◽

Boundary Value Problems ◽

Boundary Value ◽

Approximation Procedure

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Solution of Mixed Boundary Value Problems by Integral Equations and Methods of Weighted Residuals with Application to Heat Conduction and Diffusion-Reaction Systems

SIAM Journal on Applied Mathematics ◽

10.1137/0144077 ◽

1984 ◽

Vol 44 (6) ◽

pp. 1076-1091 ◽

Author(s):

P. L. Mills ◽

M. P. Duduković

Keyword(s):

Heat Conduction ◽

Boundary Value Problems ◽

Integral Equations ◽

Mixed Boundary ◽

Boundary Value ◽

Diffusion Reaction ◽

Mixed Boundary Value Problems ◽

Reaction Systems ◽

Weighted Residuals ◽

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REPRESENTATION OF SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR THE HEAT CONDUCTION EQUATION IN NONCYLINDRICAL DOMAINS IN TERMS OF GREEN'S FUNCTION

Mathematical Methods in Technologies and Technics ◽

10.52348/2712-8873_mmtt_2021_6_7 ◽

2021 ◽

pp. 7-11

Author(s):

V.V. Shevelev

Keyword(s):

Heat Conduction ◽

Green’S Function ◽

Boundary Value Problems ◽

Green's Function ◽

Heat Conduction Equation ◽

Boundary Value ◽

Conduction Equation ◽

Representation Of Solutions

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Modeling of Boundary-Value Problems of Heat Conduction for Multilayered Hollow Cylinder

2018 International Scientific-Practical Conference Problems of Infocommunications. Science and Technology (PIC S&T) ◽

10.1109/infocommst.2018.8632131 ◽

2018 ◽

Author(s):

Roman Tatsiy ◽

Marta Stasiuk ◽

Oleg Pazen ◽

Sergiy Vovk

Keyword(s):

Heat Conduction ◽

Boundary Value Problems ◽

Hollow Cylinder ◽

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Integral-equation construction of the green's function for generalized boundary-value problems involving the heat-conduction equation

Soviet Physics Journal ◽

10.1007/bf00819313 ◽

1969 ◽

Vol 12 (2) ◽

pp. 189-198

Author(s):

�. M. Kartashov ◽

G. M. Bartenev

Keyword(s):

Integral Equation ◽

Heat Conduction ◽

Green’S Function ◽

Boundary Value Problems ◽

Green's Function ◽

Heat Conduction Equation ◽

Boundary Value ◽

Conduction Equation

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Pad� extension of Bergman-series solutions to nonlinear boundary-value problems in heat conduction

Journal of Engineering Mathematics ◽

10.1007/bf00042773 ◽

1986 ◽

Vol 20 (2) ◽

pp. 145-161 ◽

Author(s):

C. Rogers ◽

D. W. Barclay ◽

D. L. Clements

Keyword(s):

Heat Conduction ◽

Boundary Value Problems ◽

Nonlinear Boundary ◽

Boundary Value ◽

Series Solutions ◽

Nonlinear Boundary Value Problems ◽

Nonlinear Boundary Value

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Stabilization of the solutions of boundary-value problems for the multidimensional heat-conduction equation

Ukrainian Mathematical Journal ◽

10.1007/bf01060313 ◽

1989 ◽

Vol 41 (3) ◽

pp. 290-296

Author(s):

Ya. S. Kushitskii ◽

S. D. �idel'man

Keyword(s):

Heat Conduction ◽

Boundary Value Problems ◽

Heat Conduction Equation ◽

Boundary Value ◽

Conduction Equation

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Method for calculating boundary value problems in heat conduction for the cylindrical cavity and the half space, by means of convolution integrals

British Journal of Applied Physics ◽

10.1088/0508-3443/12/1/305 ◽

1961 ◽

Vol 12 (1) ◽

pp. 14-19 ◽

Author(s):

D W Jordan

Keyword(s):

Heat Conduction ◽

Boundary Value Problems ◽

Cylindrical Cavity ◽

Boundary Value ◽

Convolution Integrals

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Boundary value problems in heat conduction with nonlinear material and nonlinear boundary conditions

Applied Mathematical Modelling ◽

10.1016/s0307-904x(81)80024-8 ◽

1981 ◽

Vol 5 (6) ◽

pp. 417-421 ◽

Author(s):

Ryszard Bialecki ◽

Andrzej Józef Nowak

Keyword(s):

Heat Conduction ◽

Boundary Conditions ◽

Boundary Value Problems ◽

Nonlinear Boundary ◽

Boundary Value ◽

Nonlinear Boundary Conditions ◽

Nonlinear Material

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