A novel exponentially fitted finite-difference method for time-fractional singularly perturbed convection–diffusion problems with variable coefficients

A novel exponentially fitted finite-difference method for time-fractional singularly perturbed convection–diffusion problems with variable coefficients

This study presents an exponentially fitted finite-difference scheme for addressing singularly perturbed convection–diffusion problems involving the time-fractional derivative. The Caputo fractional derivative defines the time-fractional derivative. Then, the implicit finite-difference method is use...

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Bibliographic Details
Main Authors: Worku Tilahun Aniley, Gemechis File Duressa
Format: Article
Language:English
Published: Frontiers Media S.A. 2025-03-01
Series:Frontiers in Applied Mathematics and Statistics
Subjects:
Numerov method
time-fractional
convection–diffusion
Caputo fractional derivative
finite-difference
exponentially fitting factor
Online Access:https://www.frontiersin.org/articles/10.3389/fams.2025.1541766/full
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