Solving of an Inverse Boundary Value Problem for the Heat Conduction Equation by Using Lavrentiev Regularization Method

Journal of Physics Conference Series ◽

10.1088/1742-6596/1715/1/012032 ◽

2021 ◽

Vol 1715 ◽

pp. 012032

Author(s):

H K Al-Mahdawi

Keyword(s):

Heat Conduction ◽

Boundary Value Problem ◽

Regularization Method ◽

Heat Conduction Equation ◽

Boundary Value ◽

Conduction Equation ◽

Inverse Boundary ◽

Inverse Boundary Value Problem ◽

Lavrentiev Regularization ◽

Lavrentiev Regularization Method

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A Study of an Inverse Boundary Value Problem for the Heat Conduction Equation

Numerical Analysis and Applications ◽

10.1134/s1995423919010063 ◽

2019 ◽

Vol 12 (1) ◽

pp. 70-86 ◽

Author(s):

A. I. Sidikova

Keyword(s):

Heat Conduction ◽

Boundary Value Problem ◽

Heat Conduction Equation ◽

Boundary Value ◽

Conduction Equation ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

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Approximate Solution of Inverse Boundary Value Problem for Heat Conduction Equation

2018 International Russian Automation Conference (RusAutoCon) ◽

10.1109/rusautocon.2018.8501766 ◽

2018 ◽

Author(s):

A.I. Sidikova

Keyword(s):

Approximate Solution ◽

Heat Conduction ◽

Boundary Value Problem ◽

Heat Conduction Equation ◽

Boundary Value ◽

Conduction Equation ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

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A numerical solution of an inverse boundary value problem of heat conduction using the Volterra equations of the first kind

Сибирский журнал вычислительной математики ◽

10.15372/sjnm20150307 ◽

2015 ◽

Vol 18 (3) ◽

Keyword(s):

Heat Conduction ◽

Boundary Value Problem ◽

Numerical Solution ◽

Boundary Value ◽

Volterra Equations ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

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Thermodynamic rationale for heat conduction equation and dynamic boundary value problem for piezothermoelastic materials

10.1117/12.350119 ◽

1999 ◽

Author(s):

Alexander K. Belyaev

Keyword(s):

Heat Conduction ◽

Boundary Value Problem ◽

Heat Conduction Equation ◽

Boundary Value ◽

Conduction Equation ◽

Dynamic Boundary

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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 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 ◽

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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A two-model iteration algorithm for solving the inverse boundary-value problem of heat conduction

Journal of Engineering Physics ◽

10.1007/bf00870172 ◽

1987 ◽

Vol 53 (6) ◽

pp. 1476-1480

Author(s):

S. L. Balakovskii

Keyword(s):

Heat Conduction ◽

Boundary Value Problem ◽

Boundary Value ◽

Iteration Algorithm ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

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Thermodynamic derivation of the heat conduction equation and the dynamic boundary value problem for thermoelastic materials and fluids

Acta Mechanica ◽

10.1007/bf01170393 ◽

1996 ◽

Vol 114 (1-4) ◽

pp. 27-37 ◽

Author(s):

A. K. Belyaev ◽

V. A. Palmov

Keyword(s):

Heat Conduction ◽

Boundary Value Problem ◽

Heat Conduction Equation ◽

Boundary Value ◽

Conduction Equation ◽

Dynamic Boundary ◽

Thermodynamic Derivation

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Thermodynamic derivation of dynamic boundary value problem and heat conduction equation for polarised thermoelastic materials

Acta Mechanica ◽

10.1007/bf01175985 ◽

2000 ◽

Vol 140 (1-2) ◽

pp. 119-129 ◽

Author(s):

A. K. Belyaev

Keyword(s):

Heat Conduction ◽

Boundary Value Problem ◽

Heat Conduction Equation ◽

Boundary Value ◽

Conduction Equation ◽

Dynamic Boundary ◽

Thermodynamic Derivation

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