AMIT K VERMA
Articles written in Pramana – Journal of Physics
Volume 96 All articles Published: 4 January 2022 Article ID 0014 Research Article
NSFD schemes for a class of nonlinear generalised advection–diffusion–reaction equation
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.
Volume 97, 2023
Continuous Article Publishing mode
Click here for Editorial Note on CAP Mode