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Inverse Problems in Science and Engineering Volume 28, 2020 - Issue 3
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Articles

Fourier truncation method for the non-homogeneous time fractional backward heat conduction problem

J. KokilaDepartment of Mathematics, IIT Palakkad, Palakkad, IndiaCorrespondence[email protected]
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M. T. NairDepartment of Mathematics, IIT Madras, Chennai, IndiaView further author information
Pages 402-426 | Received 21 Aug 2018, Accepted 02 Feb 2019, Published online: 19 Feb 2019

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Hussien Lotfinia, Nabi Chegini & Reza Mokhtari. (2021) The bi-Helmholtz equation with Cauchy conditions: ill-posedness and regularization methods. Inverse Problems in Science and Engineering 29:1, pages 17-39.
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Articles from other publishers (7)

M. Thamban Nair & P. Danumjaya. (2023) A new regularization for time-fractional backward heat conduction problem. Journal of Inverse and Ill-posed Problems 0:0.
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Mohammad F. Al-Jamal, Kamal Barghout & Nidal Abu-Libdeh. (2023) Regularization of the Final Value Problem for the Time-Fractional Diffusion Equation. Iranian Journal of Science 47:3, pages 931-941.
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建萍 张. (2023) Fourier Regularization of the Two-Dimensional Time-Reverse Heat Conduction Problem. Pure Mathematics 13:02, pages 307-318.
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Dinh Nguyen Duy Hai. (2021) Filter Regularization Method for a Nonlinear Riesz-Feller Space-Fractional Backward Diffusion Problem with Temporally Dependent Thermal Conductivity. Fractional Calculus and Applied Analysis 24:4, pages 1112-1129.
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Kokila Jayakumar. (2019) Modified quasi‐boundary value method for the multidimensional nonhomogeneous backward time fractional diffusion equation. Mathematical Methods in the Applied Sciences 44:10, pages 8363-8378.
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Dang Duc Trong & Dinh Nguyen Duy Hai. (2021) Backward problem for time-space fractional diffusion equations in Hilbert scales. Computers & Mathematics with Applications 93, pages 253-264.
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Tran Bao Ngoc, Yong Zhou, Donal O’Regan & Nguyen Huy Tuan. (2020) On a terminal value problem for pseudoparabolic equations involving Riemann–Liouville fractional derivatives. Applied Mathematics Letters 106, pages 106373.
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