Work

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

Year: 2024

Type: article

Abstract: 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.

Source: Heliyon

DOI: 10.1016/j.heliyon.2024.e41215

Authors: Imiru Takele Daba, Wondwosen Gebeyaw Melesse, Fasika Wondimu Gelu, Guta Demisu Kebede

Institutions: Salale University, Dilla University

Language: English

Topic: Differential Equations and Numerical Methods

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,100

OpenAlex ID: W4405350385

FWCI: 0.383

Cites: 36

Cited by: 1

Related to: 10