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Recovering source term of the time-fractional diffusion equation

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Abstract

In this paper, a computational approach is suggested to obtain unknown space–time-dependent source term of the fractional diffusion equations. We assign a time-dependent source term and a linear space with the zero components which represent a series of boundary functions. In linear space, an energy border functional equation is obtained. After that, some numerical examples are provided to verify the accuracy of the method. Also, two tables are presented to display the values of solutions.

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Authors and Affiliations

  1. Department of Mathematics, Clarkson University, 8 Clarkson Ave, Potsdam, NY, 13699-5815, USA

    Mohammad Partohaghighi & Guangming Yao

  2. Department of Mathematics, Art and Science Faculty, Siirt University, 56100 , Siirt, Turkey

    Esra Karatas Akgül & Ali Akgül

  3. Faculty of Engineering Management, Poznan University of Technology, Poznan, 60-965, Poland

    Gerhard-Wilhelm Weber

Authors
  1. Mohammad Partohaghighi
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  2. Esra Karatas Akgül
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  3. Gerhard-Wilhelm Weber
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  4. Guangming Yao
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  5. Ali Akgül
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Correspondence to Ali Akgül.

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Partohaghighi, M., Karatas Akgül, E., Weber, GW. et al. Recovering source term of the time-fractional diffusion equation. Pramana - J Phys 95, 153 (2021). https://doi.org/10.1007/s12043-021-02183-0

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  • DOI: https://doi.org/10.1007/s12043-021-02183-0

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