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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/095/0153

    • Keywords

       

      Inverse problems; optimisation; engineering; iterative method; fractional diffusion equation; energy boundary functions.

    • 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.

    • Author Affiliations

       

      MOHAMMAD PARTOHAGHIGHI1 ESRA KARATAS AKGÜL2 GERHARD-WILHELM WEBER3 GUANGMING YAO1 ALI AKGÜL1

      1. Department of Mathematics, Clarkson University, 8 Clarkson Ave, Potsdam, NY13699-5815, USA
      2. Department of Mathematics, Art and Science Faculty, Siirt University, 56100 Siirt, Turkey
      3. Faculty of Engineering Management, Poznan University of Technology, Poznan 60-965, Poland

    • Dates

       
      Published
      8 September 2021
      Manuscript received
      5 March 2021
      Manuscript revised
      16 April 2021
      Accepted
      3 May 2021
      Final version published online
      8 September 2021

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