Work

An accurate tau-based spectral algorithm for the time fractional bioheat transfer model

Year: 2025

Type: article

Abstract: This work introduces a numerical algorithm based on the spectral Tau method for solving the time-fractional bioheat transfer equation, which describes how heat moves through biological tissues over time. A specific set of Horadam polynomials is employed as trial functions. Some explicit formulas for the Horadam polynomials used, such as their explicit expressions for the integer and fractional-order derivatives and some specific definite integrals, are used in designing the numerical algorithm for solving the fractional bioheat equation. Comprehensive convergence and error analyses are conducted to validate the accuracy of the proposed Horadam expansion. Several illustrative examples are provided to ensure the applicability and accuracy of the proposed method.

Source: Boundary Value Problems

DOI: 10.1186/s13661-025-02118-3

Authors: W. M. Abd-Elhameed, M. A. Abdelkawy, O. M. Alqubori, A. G. Atta

Institutions: Cairo University, Imam Mohammad ibn Saud Islamic University, University of Jeddah, Ain Shams University

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,890

Funders: Imam Mohammed Ibn Saud Islamic University, Al-Imam Muhammad Ibn Saud Islamic University