A Robust Exponentially Fitted Scheme for Singularly Perturbed Fractional‐Order Delay Parabolic Equation
Year: 2025
Type: article
Abstract: This study introduces a fitted numerical approach for solving singularly perturbed time‐fractional parabolic differential equations incorporating a delay term. The stability of the method is rigorously examined using the comparison principle and solution bounds, while its convergence is analyzed through the barrier function approach and the Peano kernel. To validate the theoretical framework, two numerical test examples are considered for different values of the perturbation parameter. The proposed scheme demonstrates more accurate, stable, and uniform convergence compared to existing methods in the literature.
Source: Advances in Mathematical Physics
DOI: 10.1155/admp/8769798
Authors: Nuru Ahmed Endrie, Gemechis File Duressa
Institutions: Arba Minch University, Jimma University
Language: English
Subfield: Numerical Analysis
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,830
OpenAlex ID: W4409379781