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A two-parameter Tikhonov regularization for a fractional sideways problem with two interior temperature measurements

Author

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  • Trong, Dang Duc
  • Hai, Dinh Nguyen Duy
  • Minh, Nguyen Dang
  • Lan, Nguyen Nhu

Abstract

This paper deals with a fractional sideways problem of determining the surface temperature of a heat body from two interior temperature measurements. Mathematically, it is formulated as a problem for the one-dimensional heat equation with Caputo fractional time derivative of order α∈(0,1], where the data are given at two interior points, namely x=x1 and x=x2, and the solution is determined for x∈(0,L),0

Suggested Citation

  • Trong, Dang Duc & Hai, Dinh Nguyen Duy & Minh, Nguyen Dang & Lan, Nguyen Nhu, 2025. "A two-parameter Tikhonov regularization for a fractional sideways problem with two interior temperature measurements," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 229(C), pages 491-511.
    • Handle: RePEc:eee:matcom:v:229:y:2025:i:c:p:491-511
    DOI: 10.1016/j.matcom.2024.10.013
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    References listed on IDEAS

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    1. Trong, Dang Duc & Hai, Dinh Nguyen Duy & Minh, Nguyen Dang, 2020. "Reconstruction of a space-dependent source in the inexact order time-fractional diffusion equation," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    2. Trong, Dang Duc & Hai, Dinh Nguyen Duy & Minh, Nguyen Dang, 2019. "Optimal regularization for an unknown source of space-fractional diffusion equation," Applied Mathematics and Computation, Elsevier, vol. 349(C), pages 184-206.
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    1. Trong, Dang Duc & Hai, Dinh Nguyen Duy & Minh, Nguyen Dang, 2020. "Reconstruction of a space-dependent source in the inexact order time-fractional diffusion equation," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).

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