Solution methods for problems with discontinuous boundary conditions in heat conduction and diffusion with reaction

Patrick L. Mills; Steven S. Lai; Milorad P. Dudukovic

doi:10.1021/i100017a012

Solution methods for problems with discontinuous boundary conditions in heat conduction and diffusion with reaction

Industrial & Engineering Chemistry Fundamentals ◽

10.1021/i100017a012 ◽

1985 ◽

Vol 24 (1) ◽

pp. 64-77 ◽

Cited By ~ 14

Author(s):

Patrick L. Mills ◽

Steven S. Lai ◽

Milorad P. Dudukovic

Keyword(s):

Heat Conduction ◽

Boundary Conditions ◽

Discontinuous Boundary ◽

Solution Methods ◽

And Diffusion

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Heat conduction of orthotropic half-space for mixed discontinuous boundary conditions

Journal of Engineering Physics and Thermophysics ◽

10.1007/bf02606184 ◽

1996 ◽

Vol 69 (5) ◽

pp. 643-650

Author(s):

V. P. Kozlov ◽

N. I. Yurchuk ◽

N. A. Abdel'razak

Keyword(s):

Heat Conduction ◽

Boundary Conditions ◽

Half Space ◽

Discontinuous Boundary

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SOLUTION OF HEAT CONDUCTION PROBLEM WITH DISCONTINUOUS BOUNDARY CONDITIONS IN NONHOMOGENOUS MOVING CYLINDER USING MAPLE

International Journal of Pure and Apllied Mathematics ◽

10.12732/ijpam.v106i4.14 ◽

2016 ◽

Vol 106 (4) ◽

Author(s):

G.R. Gasimov ◽

Z.A. Abusutash

Keyword(s):

Heat Conduction ◽

Boundary Conditions ◽

Heat Conduction Problem ◽

Discontinuous Boundary ◽

Moving Cylinder

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A method of paired integral equations in the region of laplace transforms for solving nonstationary heat conduction problems with mixed discontinuous boundary conditions

Journal of Engineering Physics and Thermophysics ◽

10.1007/bf02699221 ◽

1999 ◽

Vol 72 (3) ◽

pp. 534-549 ◽

Cited By ~ 2

Author(s):

N. I. Yurchuk ◽

V. P. Kozlov ◽

P. A. Mandrik

Keyword(s):

Heat Conduction ◽

Boundary Conditions ◽

Integral Equations ◽

Laplace Transforms ◽

Nonstationary Heat ◽

Nonstationary Heat Conduction ◽

Discontinuous Boundary

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SOLUTION OF HEAT CONDUCTION PROBLEM WITH DISCONTINUOUS BOUNDARY CONDITIONS IN NONHOMOGENOUS MOVING CYLINDER USING MAPLE

International Journal of Pure and Apllied Mathematics ◽

10.12732/ijpam.v106i4.8 ◽

2016 ◽

Vol 106 (4) ◽

Author(s):

G.R. Gasimov ◽

Z.A. Abusutash

Keyword(s):

Heat Conduction ◽

Boundary Conditions ◽

Heat Conduction Problem ◽

Discontinuous Boundary ◽

Moving Cylinder

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An inverse Laplace transformation for solving heat-conduction problems with discontinuous boundary conditions of the second kind

Journal of Engineering Physics ◽

10.1007/bf00870723 ◽

1986 ◽

Vol 50 (5) ◽

pp. 604-609

Author(s):

V. P. Kozlov ◽

V. S. Adamchik

Keyword(s):

Heat Conduction ◽

Boundary Conditions ◽

Laplace Transformation ◽

Inverse Laplace Transformation ◽

Discontinuous Boundary

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Extremum principles and error bounds for steady heat conduction with mixed boundary conditions

Lettere al Nuovo Cimento ◽

10.1007/bf02745773 ◽

1973 ◽

Vol 6 (10) ◽

pp. 362-366

Author(s):

A. M. Arthurs ◽

D. Winthkop

Keyword(s):

Heat Conduction ◽

Boundary Conditions ◽

Error Bounds ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Steady Heat Conduction ◽

Steady Heat

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A difference scheme for a singularly perturbed equation of parabolic type with discontinuous boundary conditions

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(88)90039-0 ◽

1988 ◽

Vol 28 (6) ◽

pp. 32-41 ◽

Cited By ~ 15

Author(s):

G.I. Shishkin

Keyword(s):

Boundary Conditions ◽

Difference Scheme ◽

Parabolic Type ◽

Singularly Perturbed ◽

Singularly Perturbed Equation ◽

Discontinuous Boundary ◽

Perturbed Equation

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Riemann-Hilbert and Poincaré problems with discontinuous boundary conditions for some model systems of partial differential equations

Differential Equations ◽

10.1134/s0012266111050089 ◽

2011 ◽

Vol 47 (5) ◽

pp. 696-705 ◽

Cited By ~ 3

Author(s):

B. B. Oshorov

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Conditions ◽

Model Systems ◽

Partial Differential ◽

Discontinuous Boundary

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Investigation of Thermal Resonance in Solution of a Two-Dimensional Singularly Perturbed Boundary-Value Problem of Nonstationary Heat Conduction with Nonlinear Boundary Conditions of the Stefan–Boltzmann Type

Journal of Engineering Physics and Thermophysics ◽

10.1023/b:joep.0000045149.48583.e6 ◽

2004 ◽

Vol 77 (4) ◽

pp. 700-706 ◽

Cited By ~ 1

Author(s):

A. V. Kotovich ◽

G. A. Nesenenko

Keyword(s):

Heat Conduction ◽

Boundary Value Problem ◽

Boundary Conditions ◽

Nonlinear Boundary ◽

Boundary Value ◽

Nonlinear Boundary Conditions ◽

Singularly Perturbed ◽

Nonstationary Heat ◽

Two Dimensional ◽

Nonstationary Heat Conduction

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METHOD OF «MICROPROCESSES» IN MODELING THE PROCESSES OF THERMAL CONDUCTIVITY AND DIFFUSION IN BODIES OF CANONICAL SHAPE. GENERALIZED BOUNDARY CONDITIONS OF THE THIRD KIND

Smart Comprosite in Construction ◽

10.52957/27821919_2021_2_7 ◽

2021 ◽

Vol 2 (2) ◽

pp. 7-15

Author(s):

S.V. Fedosov ◽

M.O. Bakanov

Keyword(s):

Thermal Conductivity ◽

Boundary Conditions ◽

The Third ◽

Generalized Boundary Conditions ◽

And Diffusion

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