Numerical Method for the Inverse Boundary-Value Problem of the Heat Equation

Computational Mathematics and Modeling ◽

10.1007/s10598-017-9352-7 ◽

2017 ◽

Vol 28 (2) ◽

pp. 141-147

Author(s):

V. I. Dmitriev ◽

L. V. Stolyarov

Keyword(s):

Boundary Value Problem ◽

Heat Equation ◽

Numerical Method ◽

Boundary Value ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

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On the numerical solution of an inverse boundary value problem for the heat equation

Inverse Problems ◽

10.1088/0266-5611/14/4/006 ◽

1998 ◽

Vol 14 (4) ◽

pp. 853-867 ◽

Author(s):

Roman Chapko ◽

Rainer Kress ◽

Jeong-Rock Yoon

Keyword(s):

Boundary Value Problem ◽

Heat Equation ◽

Numerical Solution ◽

Boundary Value ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

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Numerical solution of an inverse boundary value problem for the heat equation with unknown inclusions

Journal of Computational Physics ◽

10.1016/j.jcp.2018.05.008 ◽

2018 ◽

Vol 369 ◽

pp. 1-15 ◽

Author(s):

Haibing Wang ◽

Yi Li

Keyword(s):

Boundary Value Problem ◽

Heat Equation ◽

Numerical Solution ◽

Boundary Value ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

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Inverse boundary value problem for the heat equation with discontinuous coefficients

Journal of Inverse and Ill-Posed Problems ◽

10.1515/jip-2012-0073 ◽

2013 ◽

Vol 21 (2) ◽

Author(s):

Gen Nakamura ◽

Satoshi Sasayama

Keyword(s):

Boundary Value Problem ◽

Heat Equation ◽

Boundary Value ◽

Discontinuous Coefficients ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

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An inverse boundary value problem for the heat equation: the Neumann condition

Inverse Problems ◽

10.1088/0266-5611/15/4/313 ◽

1999 ◽

Vol 15 (4) ◽

pp. 1033-1046 ◽

Author(s):

Roman Chapko ◽

Rainer Kress ◽

Jeong-Rock Yoon

Keyword(s):

Boundary Value Problem ◽

Heat Equation ◽

Boundary Value ◽

Neumann Condition ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

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On the non-linear integral equation approach for an inverse boundary value problem for the heat equation

Journal of Engineering Mathematics ◽

10.1007/s10665-019-10028-4 ◽

2019 ◽

Vol 119 (1) ◽

pp. 255-268 ◽

Author(s):

Roman Chapko ◽

Leonidas Mindrinos

Keyword(s):

Integral Equation ◽

Boundary Value Problem ◽

Heat Equation ◽

Boundary Value ◽

Linear Integral Equation ◽

Equation Approach ◽

Inverse Boundary ◽

Inverse Boundary Value Problem ◽

Integral Equation Approach ◽

Linear Integral

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Reconstruction of inclusions for the inverse boundary value problem for non-stationary heat equation

Algebraic Analysis of Differential Equations ◽

10.1007/978-4-431-73240-2_10 ◽

2009 ◽

pp. 89-99

Author(s):

Yuki Daido ◽

Hyeonbae Kang ◽

Gen Nakamura

Keyword(s):

Boundary Value Problem ◽

Heat Equation ◽

Boundary Value ◽

Inverse Boundary ◽

Inverse Boundary Value Problem ◽

Stationary Heat

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The design of cavitation-free hydroprofiles based on the solution of a mixed inverse boundary-value problem

Journal of Applied Mathematics and Mechanics ◽

10.1016/0021-8928(94)90029-9 ◽

1994 ◽

Vol 58 (1) ◽

pp. 59-66

Author(s):

N.B. Il'inskii ◽

D.A. Fokin

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Inverse Boundary ◽

Inverse Boundary Value Problem

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A probe method for the inverse boundary value problem of non-stationary heat equations

Inverse Problems ◽

10.1088/0266-5611/23/5/002 ◽

2007 ◽

Vol 23 (5) ◽

pp. 1787-1800 ◽

Author(s):

Yuki Daido ◽

Hyeonbae Kang ◽

Gen Nakamura

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Probe Method ◽

Heat Equations ◽

Inverse Boundary ◽

Inverse Boundary Value Problem ◽

Stationary Heat

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Eigenparameter dependent inverse boundary value problem for a class of Sturm-Liouville operator

Boundary Value Problems ◽

10.1186/s13661-014-0194-3 ◽

2014 ◽

Vol 2014 (1) ◽

Author(s):

Khanlar R Mamedov ◽

F Ayca Cetinkaya

Keyword(s):

Boundary Value Problem ◽

Liouville Operator ◽

Boundary Value ◽

Inverse Boundary ◽

Inverse Boundary Value Problem ◽

Sturm Liouville

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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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