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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/094/0137

    • Keywords

       

      Time-fractional differential equation; nonlinear differential equation; generalised Burgers–Fisher equation; Kudryashov method; power series.

    • Abstract

       

      This study deals with the generalised Kudryashov method (GKM) for the time-fractional generalised Burgers–Fisher equation (TF-GBF). Using the transformation of travelling wave, the TF-GBF is transformed into a non-linear ordinary differential equation (NLODE). Later, GKM has been applied in the resultant equation which is a novel technique to obtain exact solutions. These exact solutions are plotted and the power series solution is also derived.

    • Author Affiliations

       

      RAMYA SELVARAJ1 SWAMINATHAN VENKATRAMAN2 DURGA DEVI ASHOK3 KRISHNAKUMAR KRISHNARAJA1

      1. Department of Mathematics, Srinivasa Ramanujan Centre, SASTRA Deemed to be University, Kumbakonam 612 001, India
      2. Discrete Mathematics Laboratory, Department of Mathematics, Srinivasa Ramanujan Centre, SASTRA Deemed to be University, Kumbakonam 612 001, India
      3. Department of Physics, Srinivasa Ramanujan Centre, SASTRA Deemed to be University, Kumbakonam 612 001, India

    • Dates

       
      Published
      5 September 2020
      Manuscript received
      18 March 2020
      Manuscript revised
      14 May 2020
      Accepted
      1 July 2020
      Final version published online
      5 September 2020

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