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International Journal of Computer Mathematics Volume 94, 2017 - Issue 1
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Original Articles

Generalized Tikhonov method for the final value problem of time-fractional diffusion equation

Hongwu ZhangSchool of Mathematics and Information Science, Beifang University of Nationalities, Yinchuan City, Ningxia Province, 750021, ChinaCorrespondence[email protected]
&
Xiaoju ZhangSchool of Mathematics and Information Science, Beifang University of Nationalities, Yinchuan City, Ningxia Province, 750021, China
Pages 66-78 | Received 11 Jun 2015, Accepted 26 Aug 2015, Published online: 23 Sep 2015

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J. Kokila & M. T. Nair. (2020) Fourier truncation method for the non-homogeneous time fractional backward heat conduction problem. Inverse Problems in Science and Engineering 28:3, pages 402-426.
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Articles from other publishers (8)

Xiaoli Feng, Meixia Zhao & Zhi Qian. (2022) A Tikhonov regularization method for solving a backward time–space fractional diffusion problem. Journal of Computational and Applied Mathematics 411, pages 114236.
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Smina Djennadi, Nabil Shawagfeh, Mustafa Inc, M S Osman, J F Gómez-Aguilar & Omar Abu Arqub. (2021) The Tikhonov regularization method for the inverse source problem of time fractional heat equation in the view of ABC-fractional technique. Physica Scripta 96:9, pages 094006.
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Smina Djennadi, Nabil Shawagfeh & Omar Abu Arqub. (2021) A fractional Tikhonov regularization method for an inverse backward and source problems in the time-space fractional diffusion equations. Chaos, Solitons & Fractals 150, pages 111127.
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Nguyen Huy Tuan, Dumitru Baleanu, Tran Ngoc Thach, Donal O’Regan & Nguyen Huu Can. (2020) Final value problem for nonlinear time fractional reaction–diffusion equation with discrete data. Journal of Computational and Applied Mathematics 376, pages 112883.
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Arumugam Deiveegan, Juan J. Nieto & Periasamy Prakash. (2019) THE REVISED GENERALIZED TIKHONOV METHOD FOR THE BACKWARD TIME-FRACTIONAL DIFFUSION EQUATION. Journal of Applied Analysis & Computation 9:1, pages 45-56.
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Fan Yang, Yu‐Peng Ren & Xiao‐Xiao Li. (2017) The quasi‐reversibility method for a final value problem of the time‐fractional diffusion equation with inhomogeneous source. Mathematical Methods in the Applied Sciences 41:5, pages 1774-1795.
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Yong-Ki Ma, P. Prakash & A. Deiveegan. (2018) Generalized Tikhonov methods for an inverse source problem of the time-fractional diffusion equation. Chaos, Solitons & Fractals 108, pages 39-48.
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Nguyen Huy Tuan, Mokhtar Kirane, Bandar Bin-Mohsin & Pham Thi Minh Tam. (2017) Filter regularization for final value fractional diffusion problem with deterministic and random noise. Computers & Mathematics with Applications 74:6, pages 1340-1361.
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