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Applicable Analysis
An International Journal
Volume 87, 2008 - Issue 3
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Original Articles

A procedure for determining a spacewise dependent heat source and the initial temperature

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Pages 265-276 | Received 12 Oct 2007, Accepted 12 Nov 2007, Published online: 19 Mar 2008

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Jin Wen, Zhuan-Xia Liu & Shan-Shan Wang. (2022) Conjugate gradient method for simultaneous identification of the source term and initial data in a time-fractional diffusion equation. Applied Mathematics in Science and Engineering 30:1, pages 324-338.
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Yung-Wei Chen. (2019) Simultaneous determination of the heat source and the initial data by using an explicit Lie-group shooting method. Numerical Heat Transfer, Part B: Fundamentals 75:4, pages 239-264.
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Shufang Qiu, Zewen Wang & Anlai Xie. (2018) Multivariate numerical derivative by solving an inverse heat source problem. Inverse Problems in Science and Engineering 26:8, pages 1178-1197.
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Chein-Shan Liu, Chung-Lun Kuo & Fajie Wang. (2017) Recovering both the space-dependent heat source and the initial temperature by using a fast convergent iterative method. Numerical Heat Transfer, Part B: Fundamentals 72:3, pages 233-249.
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Chein-Shan Liu, Chung-Lun Kuo & Jiang-Ren Chang. (2015) Recovering A Heat Source and Initial Value by a Lie-Group Differential Algebraic Equations Method. Numerical Heat Transfer, Part B: Fundamentals 67:3, pages 231-254.
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Chein-Shan Liu. (2015) An iterative algorithm for identifying heat source by using a DQ and a Lie-group method. Inverse Problems in Science and Engineering 23:1, pages 67-92.
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Kamal Rashedi, Hojatollah Adibi & Mehdi Dehghan. (2014) Determination of space–time-dependent heat source in a parabolic inverse problem via the Ritz–Galerkin technique. Inverse Problems in Science and Engineering 22:7, pages 1077-1108.
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Nicolas Auffray, Marc Bonnet & Stéphane Pagano. (2013) Identification of transient heat sources using the reciprocity gap. Inverse Problems in Science and Engineering 21:4, pages 721-738.
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Jin Wen, Masahiro Yamamoto & Ting Wei. (2013) Simultaneous determination of a time-dependent heat source and the initial temperature in an inverse heat conduction problem. Inverse Problems in Science and Engineering 21:3, pages 485-499.
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Wei Cheng, Yun-Jie Ma & Chu-Li Fu. (2012) Identifying an unknown source term in radial heat conduction. Inverse Problems in Science and Engineering 20:3, pages 335-349.
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Dang Duc Trong, Mach Nguyet Minh, Pham Ngoc Dinh Alain & Phan Thanh Nam. (2010) Hölder-Type Approximation for the Spatial Source Term of a Backward Heat Equation. Numerical Functional Analysis and Optimization 31:12, pages 1386-1405.
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Yi Jiang, Jun Liu & Xiang-Sheng Wang. (2023) A direct parallel-in-time quasi-boundary value method for inverse space-dependent source problems. Journal of Computational and Applied Mathematics 423, pages 114958.
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V. I. Vasil’ev & A. M. Kardashevskii. (2018) Numerical Solution of the Retrospective Inverse Problem of Heat Conduction with the Help of the Poisson Integral. Journal of Applied and Industrial Mathematics 12:3, pages 577-586.
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