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International Journal of Computer Mathematics Volume 87, 2010 - Issue 5
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Section A

Determination of a source term in a heat equation

Jinbo Liu Department of Mathematics, Changsha University of Science and Technology , Changsha, Hunan, P.R. China
,
Baiyu Wang School of Mathematical Science and Computing Technology, Central South University , Changsha, Hunan, P.R. China
&
Zhenhai Liu School of Mathematical Science and Computing Technology, Central South University , Changsha, Hunan, P.R. China
Pages 969-975 | Received 06 Nov 2007, Accepted 05 Mar 2008, Published online: 10 May 2010

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Malihe Rostamian & Alimardan Shahrezaee. (2018) A meshless method for solving 1D time-dependent heat source problem. Inverse Problems in Science and Engineering 26:1, pages 51-82.
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Malihe Rostamian & Alimardan Shahrezaee. (2017) A meshless method to the numerical solution of an inverse reaction–diffusion–convection problem. International Journal of Computer Mathematics 94:3, pages 597-619.
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Articles from other publishers (7)

J J Cadena-Morales, C A López-Castro & J M Alba-Maldonado. (2021) Applications of differential equations to model the physical phenomenon of heat transfer with an internal energy source. Journal of Physics: Conference Series 2102:1, pages 012018.
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Janne P. Tamminen. (2020) Detection of time-varying heat sources using an analytic forward model. Journal of Computational and Applied Mathematics 379, pages 112801.
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J. Damirchi, R. Pourgholi, T. R. Shamami, H. Zeidabadi & A. Janmohammadi. (2021) Identification of a Time Dependent Source Function in a Parabolic Inverse Problem Via Finite Element Approach. Indian Journal of Pure and Applied Mathematics 51:4, pages 1587-1602.
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Leeor Alon, Daniel K. Sodickson & Cem M. Deniz. (2016) Heat equation inversion framework for average SAR calculation from magnetic resonance thermal imaging. Bioelectromagnetics 37:7, pages 493-503.
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M. Amirfakhrian, M. Arghand & E.J. Kansa. (2016) A new approximate method for an inverse time-dependent heat source problem using fundamental solutions and RBFs. Engineering Analysis with Boundary Elements 64, pages 278-289.
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Baiyu Wang. (2014) Moving Least Squares Method for a One-Dimensional Parabolic Inverse Problem. Abstract and Applied Analysis 2014, pages 1-12.
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M.I. Ismailov, F. Kanca & D. Lesnic. (2011) Determination of a time-dependent heat source under nonlocal boundary and integral overdetermination conditions. Applied Mathematics and Computation 218:8, pages 4138-4146.
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