1. Home
    2. Journals
    3. Pramana – Journal of Physics
    4. Volume 92
    5. Issue 2

    • A reliable algorithm for fractional Bloch model arising in magnetic resonance imaging

      AMIT PRAKASH MANISH GOYAL SHIVANGI GUPTA

      Research Article Volume 92 Issue 2 February 2019 Article ID 0018

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/092/02/0018

    • Keywords

       

      Fractional model of Bloch equations; fractional variation iteration method; magnetic resonance imaging; Caputo fractional derivative; fractional homotopy perturbation transform method

    • Abstract

       

      Magnetic resonance imaging (MRI) is used in physics, chemistry, engineering and medicine to study complex materials. In this paper, numerical solution of fractional Bloch equations in MRI is obtained using fractional variation iteration method (FVIM) and fractional homotopy perturbation transform method (FHPTM). Sufficient conditions for the convergence of FVIM and its error estimate are established. The obtained results are comparedwith the existing as well as recently developed methods and with the exact solution. The obtained numerical results for different fractional values of time derivative are discussed with the help of figures and tables. Figures are drawn using the Maple package. Test examples are provided to illustrate the accuracy and competency of the proposed schemes.

    • Author Affiliations

       

      AMIT PRAKASH1 MANISH GOYAL2 SHIVANGI GUPTA2

      1. Department of Mathematics, National Institute of Technology, Kurukshetra 136 119, India
      2. Department of Mathematics, Institute of Applied Sciences and Humanities, GLA University, Mathura 281 406, India

    • Dates

       
      Published
      1 February 2019
      Manuscript received
      7 May 2018
      Manuscript revised
      13 June 2018
      Accepted
      26 June 2018
      Early published
      Unedited version published online
      Final version published online
      2 January 2019

  • Pramana – Journal of Physics | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2022-2023 Indian Academy of Sciences, Bengaluru.

Contact | Site index