• SHEERIN KAYENAT

      Articles written in Pramana – Journal of Physics

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

      SHEERIN KAYENAT AMIT K VERMA

      More Details Abstract Fulltext PDF

      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.

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