A second order numerical scheme for a singularly perturbed convection diffusion problem with a non-local boundary condition.

Autor: Mbroh, N. A., Guiem, R., Noutchie, S. C. Oukouomi
Předmět:
Zdroj: Journal of Analysis & Applications; Mar2022, Vol. 20 Issue 1, p1-20, 20p
Abstrakt: This paper deals with the numerical solution of a singularly perturbed convection diffusion problem with a non-local boundary condition. The scheme uses the non-standard finite difference scheme to discretize the derivatives. Using some properties of the discrete operator the stability of the scheme is studied and a first order accuracy is established from the convergence analysis. Richardson extrapolation is then applied on the scheme to increase the first order accuracy to a second order. Numerical experiments are conducted to demonstrate the applicability of the scheme before and after extrapolation. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index