Numerical Approximation of Atangana-Baleanu Caputo Fractional Derivative and Its Application to Fractional Order Subdiffusion Bioheat Equation
Year: 2024
Type: article
Abstract: To address the limitations of the classical fractional derivative, which uses a local and singular kernel, Caputo and Fabrizio recently introduced a new fractional derivative with a non-local and non-singular exponential kernel. Atangana and Baleanu further generalized this derivative using the Mittag-Leffler function. In this paper, we apply the Atangana-Baleanu-Caputo fractional derivative to develop a fractional-order finite difference scheme for solving the fractional-order subdiffusion bioheat equation. The stability and convergence of this method are demonstrated both numerically and graphically. Python code is provided to obtain numerical and graphical solutions for the fractional-order subdiffusion bioheat equation.
Author: Jagdish Sonawane, Bhausaheb Sontakke, Kalyanrao Takale
Language: English
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6893093154
FWCI:
Cites:
Cited by:
Related to: