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International Journal of Computer Mathematics Volume 77, 2001 - Issue 3
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Original Articles

Numerical methods for two-dimensional parabolic inverse problem with energy overspecification

Mehdi Dehghan Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No. 424, Hafez Avenue, Tehran, Iran
Pages 441-455 | Received 07 Dec 1999, Published online: 30 Mar 2007

Citations (9)

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Read on this site (2)

Fermín S. V. Bazán, Mansur I. Ismailov & Luciano Bedin. (2021) Time-dependent lowest term estimation in a 2D bioheat transfer problem with nonlocal and convective boundary conditions. Inverse Problems in Science and Engineering 29:9, pages 1282-1307.
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P.N. Vabishchevich & V.I. Vasil’ev. (2016) Computational algorithms for solving the coefficient inverse problem for parabolic equations. Inverse Problems in Science and Engineering 24:1, pages 42-59.
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Articles from other publishers (7)

İrem BAĞLAN. (2023) Analysis of Inverse Coefficient Problem for Euler-Bernoulli Equation with Periodic and Integral Conditions. Natural and Applied Sciences Journal 6:2, pages 1-8.
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İrem BAĞLAN. (2023) Stability of Solution of Quasilinear Parabolic Two-Dimensional with Inverse Coefficient by Fourier Method. Natural and Applied Sciences Journal 6:1, pages 9-20.
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Hasan Ramzani & Mahmoud Behroozifar. (2020) A scheme for solving two models of the two-dimensional inverse problem. Optimization and Engineering 22:4, pages 2159-2181.
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M. I. Ismailov & S. Erkovan. (2019) Inverse Problem of Finding the Coefficient of the Lowest Term in Two-Dimensional Heat Equation with Ionkin-Type Boundary Condition. Computational Mathematics and Mathematical Physics 59:5, pages 791-808.
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Petr N. Vabishchevich. (2019) Computational identification of the lowest space-wise dependent coefficient of a parabolic equation. Applied Mathematical Modelling 65, pages 361-376.
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P. N. Vabishchevich & V. I. Vasil?ev. (2014) Computational determination of the lowest order coefficient in a parabolic equation. Doklady Mathematics 89:2, pages 179-181.
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Mehdi Dehghan & Mehdi Tatari. (2007) The radial basis functions method for identifying an unknown parameter in a parabolic equation with overspecified data. Numerical Methods for Partial Differential Equations 23:5, pages 984-997.
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