Work

A One-Phase Fractional Spatial Stefan Problem with Convective Specification at the Fixed Boundary

Year: 2025

Type: article

Abstract: We address a fractional spatial Stefan problem derived from a non-Fourier heat flux model with a convective boundary condition at the fixed boundary. An explicit solution is obtained in terms of a three-parameter Mittag–Leffler function. A dimensionless formulation is used to derive a family of fractional spatial Stefan problems that depend on the Biot and Stefan numbers. Finally, a straightforward numerical method for approximating the solutions is presented, along with numerical experiments analyzing the influence of the physical parameters and the order of fractional differentiation.

Source: Axioms

DOI: 10.3390/axioms14100757

Authors: Diego E. Guevara, Sabrina D. Roscani, Domingo A. Tarzia, Lucas D. Venturato

Institutions: Consejo Nacional de Investigaciones Científicas y Técnicas, National University of Rosario, Austral University

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funder: Consejo Nacional de Investigaciones Científicas y Técnicas