• NSFD schemes for a class of nonlinear generalised advection–diffusion–reaction equation

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    • Keywords


      Exact finite difference scheme; non-standard finite difference scheme; consistency; boundedness.

    • Abstract


      This paper deals with the nonlinear generalised advection–diffusion–reaction (GADR) equation subject to some initial and boundary conditions (BCs). Some exact finite difference (EFD) schemes and non-standard finite difference (NSFD) schemes are derived. Positivity and boundedness of the proposed NSFD schemes are analysed analytically and numerically. Theoretical results are very well supported by solved examples. The major achievements of NSFD schemes are that they give highly accurate solutions for very few spatial and temporal divisions.

    • Author Affiliations



      1. School of Advanced Sciences & Language, Vellore Institute of Technology Bhopal University, Bhopal 466114, India
      2. Department of Mathematics, Indian Institute of Technology Patna, Patna 801 106, India
    • Dates

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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