On the solution to a two-dimensional boundary value problem of heat conduction in a degenerating domain

Minzilya T. Kosmakova;  ; Valery G. Romanovski; Dana M. Akhmanova; Zhanar M. Tuleutaeva; A.Yu. Bartashevich;  ;  ;  ;  ;  ;

doi:10.31489/2020m2/100-109

On the solution to a two-dimensional boundary value problem of heat conduction in a degenerating domain

BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS ◽

10.31489/2020m2/100-109 ◽

2020 ◽

Vol 98 (2) ◽

pp. 100-109

Author(s):

Minzilya T. Kosmakova ◽

◽

Valery G. Romanovski ◽

Dana M. Akhmanova ◽

Zhanar M. Tuleutaeva ◽

...

Keyword(s):

Heat Conduction ◽

Boundary Value Problem ◽

Boundary Value ◽

Two Dimensional ◽

Dimensional Boundary

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Two-Dimensional Boundary Value Problem of Heat Conduction in a Cone with Special Boundary Conditions

Lobachevskii Journal of Mathematics ◽

10.1134/s1995080221120271 ◽

2021 ◽

Vol 42 (12) ◽

pp. 2913-2925

Author(s):

M. I. Ramazanov ◽

M. T. Jenaliyev ◽

A. O. Tanin

Keyword(s):

Heat Conduction ◽

Boundary Value Problem ◽

Boundary Conditions ◽

Boundary Value ◽

Two Dimensional ◽

Special Boundary ◽

Dimensional Boundary

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SOLUTION OF A TWO-DIMENSIONAL BOUNDARY VALUE PROBLEM OF HEAT CONDUCTION IN A DEGENERATING DOMAIN

Journal of Mathematics Mechanics and Computer Science ◽

10.26577/jmmcs.2021.v111.i3.06 ◽

2021 ◽

Vol 111 (3) ◽

Author(s):

Nurtay Kudaibergenovich Gulmanov

Keyword(s):

Heat Conduction ◽

Boundary Value Problem ◽

Boundary Value ◽

Two Dimensional ◽

Dimensional Boundary

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TWO-DIMENSIONAL BOUNDARY VALUE PROBLEM FOR SYMMETRIC EQUATION OF ANOMALOUS DIFFUSION

Computational Thermal Sciences An International Journal ◽

10.1615/computthermalscien.2016011543 ◽

2016 ◽

Vol 8 (1) ◽

pp. 49-55

Author(s):

Tetiana Kirichok ◽

Marina Synah ◽

Dmytro Kushnir

Keyword(s):

Boundary Value Problem ◽

Anomalous Diffusion ◽

Boundary Value ◽

Two Dimensional ◽

Dimensional 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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A Two Dimensional Boundary Value Problem for the Transmission of Alternating Currents Through a Semi-Infinite Heterogeneous Conducting Medium

Physical Review ◽

10.1103/physrev.36.1579 ◽

1930 ◽

Vol 36 (10) ◽

pp. 1579-1588 ◽

Cited By ~ 9

Author(s):

Herbert P. Evans

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Conducting Medium ◽

Two Dimensional ◽

Dimensional Boundary

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Solution of a three-dimensional boundary-value problem for a fractional differential heat conduction equation

Journal of Mathematical Sciences ◽

10.1007/s10958-011-0569-2 ◽

2011 ◽

Vol 178 (5) ◽

pp. 557-563

Author(s):

L. A. Fil’shtinskii ◽

T. V. Mukomel ◽

T. A. Kirichok

Keyword(s):

Heat Conduction ◽

Boundary Value Problem ◽

Heat Conduction Equation ◽

Boundary Value ◽

Three Dimensional ◽

Conduction Equation ◽

Differential Heat ◽

Dimensional Boundary ◽

Fractional Differential

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The solution of the third boundary value problem for the two-dimensional heat conduction equation in an arbitrary region by a locally one-dimensional method

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(66)90136-4 ◽

1966 ◽

Vol 6 (3) ◽

pp. 103-125 ◽

Cited By ~ 2

Author(s):

I.V. Fryazinov

Keyword(s):

Heat Conduction ◽

Boundary Value Problem ◽

Heat Conduction Equation ◽

Boundary Value ◽

Conduction Equation ◽

Two Dimensional ◽

Arbitrary Region ◽

One Dimensional ◽

The Third ◽

Third Boundary Value Problem

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Effectiveness of Generalized Successive over Relaxation Method on Two Dimensional Boundary Value Problem

Asia-Pacific Journal of Information Technology and Multimedia ◽

10.17576/apjitm-2012-0102-02 ◽

2012 ◽

Vol 01 (02) ◽

pp. 14-27

Author(s):

Mohammad Khatim Hasan ◽

Ng Yit Hoe

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Relaxation Method ◽

Two Dimensional ◽

Dimensional Boundary ◽

Successive Over Relaxation

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Solutions to the two-dimensional boundary value problem for microwave breast tumor detection

IEEE Microwave and Wireless Components Letters ◽

10.1109/lmwc.2006.882413 ◽

2006 ◽

Vol 16 (10) ◽

pp. 525-527 ◽

Cited By ~ 2

Author(s):

G.G. Senaratne ◽

R.B. Keam ◽

W.L. Sweatman ◽

G.C. Wake

Keyword(s):

Boundary Value Problem ◽

Breast Tumor ◽

Boundary Value ◽

Tumor Detection ◽

Two Dimensional ◽

Dimensional Boundary

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Singular Limits of a Two-Dimensional Boundary Value Problem Arising in Corrosion Modelling

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-006-0421-x ◽

2006 ◽

Vol 182 (2) ◽

pp. 181-221 ◽

Cited By ~ 9

Author(s):

Juan Dávila ◽

Manuel del Pino ◽

Monica Musso ◽

Juncheng Wei

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Two Dimensional ◽

Singular Limits ◽

Dimensional Boundary ◽

Corrosion Modelling

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