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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/095/0006

    • Keywords

       

      Meshless collocation method; radial basis functions; coupled Korteweg–de Vries equations; Klein– Gordon equation; irregular domain.

    • Abstract

       

      This article provides numerical simulations of the time-fractional coupled Korteweg–de Vries and Klein–Gordon equations via the local meshless collocation method (LMCM) utilising the radial basis functions. The recommended local meshless technique is utilised for the space derivatives of the models whereas Caputo fractional definition is used for time-fractional derivative. Numerical experiments are performed for one-dimensional coupled Korteweg–de Vries and two-dimensional Klein–Gordon equations. In order to verify the efficiency and accuracy of the proposed meshless method, numerical results are compared with exact and numerical techniques reported in recent literature which reveals that the method is computationally attractive and produces better results.

    • Author Affiliations

       

      MUHAMMAD NAWAZ KHAN1 IMTIAZ AHMAD2 ALI AKGÜL3 HIJAZ AHMAD1 PHATIPHAT THOUNTHONG4

      1. Department of Basic Sciences, University of Engineering and Technology Peshawar, Peshawar, Pakistan
      2. Department of Mathematics, University of Swabi, Swabi, Pakistan
      3. Department of Mathematics, Art and Science Faculty, Siirt University, Siirt, Turkey
      4. Renewable Energy Research Centre, Department of Teacher Training in Electrical Engineering, Faculty of Technical Education, King Mongkut’s University of Technology North Bangkok, 1518 Pracharat 1 Road, Bangsue, Bangkok 10800, Thailand

    • Dates

       
      Published
      3 February 2021
      Manuscript received
      16 June 2020
      Manuscript revised
      25 July 2020
      Accepted
      18 August 2020
      Final version published online
      3 February 2021

  • Pramana – Journal of Physics | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

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