A Robust Exponentially Fitted Scheme for Singularly Perturbed Fractional-Order Delay Parabolic Equation

Nuru Ahmed Endrie and Gemechis File Duressa

Advances in Mathematical Physics, 2025, vol. 2025, 1-15

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.

Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/amp/2025/8769798.pdf (application/pdf)
http://downloads.hindawi.com/journals/amp/2025/8769798.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:8769798

DOI: 10.1155/admp/8769798

Access Statistics for this article

More articles in Advances in Mathematical Physics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().