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

    • 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

       
  • Pramana – Journal of Physics | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2021-2022 Indian Academy of Sciences, Bengaluru.