Numerical investigation of singularly perturbed time lag parabolic differential-difference equations

Autor: Imiru Takele Daba, Wondwosen Gebeyaw Melesse, Fasika Wondimu Gelu, Guta Demisu Kebede
Jazyk: angličtina
Rok vydání: 2025
Předmět:
Zdroj: Heliyon, Vol 11, Iss 1, Pp e41215- (2025)
Druh dokumentu: article
ISSN: 2405-8440
DOI: 10.1016/j.heliyon.2024.e41215
Popis: This paper deals with the numerical investigation of a singularly perturbed parabolic differential-difference equation with a time lag. The proposed method comprises the θ method (θ=1) and the non-standard finite difference methods for temporal and spatial variable discretization, respectively. Besides, the Richardson extrapolation technique is employed to boost the accuracy and order of convergence of the scheme. The applicability of the proposed approach is confirmed through some numerical examples. Furthermore, we have improved the convergence from almost first to almost second order.
Databáze: Directory of Open Access Journals