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Applicable Analysis
An International Journal
Volume 87, 2008 - Issue 10-11: Inverse Problems
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Original Articles

Simultaneous determination of unknown coefficients in a parabolic equation

Afet Golayoglu Fatullayev Baskent University, Ankara, TurkeyCorrespondence[email protected]
,
Nizami Gasilov Faculty of Engineering, Baskent University, Ankara, Turkey
&
Ismihan Yusubov Faculty of Engineering, Sakarya University, Sakarya, Turkey
Pages 1167-1177 | Received 16 Nov 2007, Accepted 30 Mar 2008, Published online: 21 Jul 2010

Citations (12)

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Fatma Kanca & Mansur I. Ismailov. (2012) The inverse problem of finding the time-dependent diffusion coefficient of the heat equation from integral overdetermination data. Inverse Problems in Science and Engineering 20:4, pages 463-476.
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Articles from other publishers (11)

Amal Benguesmia, Taki-Eddine Oussaeif & Imad Rezzoug. (2023) Inverse coefficient super-linear problem for a time fractional parabolic equation under integral overdetermination conditions. Mathematica Montisnigri 58, pages 17-31.
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Mousa J. Huntul, Taki-Eddine Oussaeif, Mohammad Tamsir & Mohammed A. Aiyashi. (2022) Unique solvability for an inverse problem of a nonlinear parabolic PDE with nonlocal integral overdetermination condition. Open Mathematics 20:1, pages 1407-1431.
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A. M. Denisov & S. I. Solov’eva. (2023) Numerical Methods for Determining the Coefficient and the Source Term in the Heat Equation. Computational Mathematics and Modeling 33:4, pages 389-400.
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A. M. Denisov. (2022) Iteration Method for Solving the Problem of Determining the Coefficient and the Source in the Heat Equation. Differential Equations 58:6, pages 750-756.
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Taki-Eddine Oussaeif, Benaoua Antara, Adel Ouannas, Iqbal M. Batiha, Khaled M. Saad, Hadi Jahanshahi, Awad M. Aljuaid & Ayman A. Aly. (2022) Existence and Uniqueness of the Solution for an Inverse Problem of a Fractional Diffusion Equation with Integral Condition. Journal of Function Spaces 2022, pages 1-9.
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M. J. Huntul & Taki-Eddine Oussaeif. (2022) Solvability of the Nonlocal Inverse Parabolic Problem and Numerical Results. Computer Systems Science and Engineering 40:3, pages 1109-1126.
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Fatma Kanca & Vishnu Narayan Mishra. (2018) Identification Problem of a Leading Coefficient to the Time Derivative of Parabolic Equation with Nonlocal Boundary Conditions. Iranian Journal of Science and Technology, Transactions A: Science 43:3, pages 1227-1233.
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M.S. Hussein, D. Lesnic & M.I. Ivanchov. (2014) Simultaneous determination of time-dependent coefficients in the heat equation. Computers & Mathematics with Applications 67:5, pages 1065-1091.
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Fatma Kanca. (2013) The inverse problem of the heat equation with periodic boundary and integral overdetermination conditions. Journal of Inequalities and Applications 2013:1.
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Fatma Kanca. (2013) Inverse Coefficient Problem of the Parabolic Equation with Periodic Boundary and Integral Overdetermination Conditions. Abstract and Applied Analysis 2013, pages 1-7.
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Nazim B. Kerimov & Mansur I. Ismailov. (2012) An inverse coefficient problem for the heat equation in the case of nonlocal boundary conditions. Journal of Mathematical Analysis and Applications 396:2, pages 546-554.
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