| Autor: |
NEGERO, N. T., DURESSA, G. F. |
| Předmět: |
|
| Zdroj: |
TWMS Journal of Applied & Engineering Mathematics; 2024, Vol. 14 Issue 4, p1622-1635, 14p |
| Abstrakt: |
For the numerical solution of the singularly perturbed parabolic convection-diffusion equation with large time delays, a novel class of fitted operator finite difference method is constructed using the Mickens-type scheme. Since the perturbation param-eter is the source for the simultaneous occurrence of time-consuming and high-speed phenomena in physical systems that depend on present and past history, our study here is to capture the effect of the parameter on the boundary layer. The time derivative is suitably replaced by a Crank-Nicolson-based scheme, followed by the spatial derivative, which is replaced by a non-standard fitted operator scheme. First-order error bounds in space and second-order error bounds in time are established to provide numerical results. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
|
