Work

Delannoy Tau-Based Numerical Procedure for the Time-Fractional Cable Model

Year: 2025

Type: article

Abstract: This study uses the spectral tau method to treat the time-fractional cable equation (TFCE). The proposed algorithm uses the shifted Delannoy polynomials, which are non-symmetric orthogonal. The orthogonality property of the non-symmetric shifted Delannoy polynomials and some representations facilitate obtaining accurate spectral approximations for the TFCE. Several numerical examples ensure the efficiency and accuracy of the method. We compare the suggested scheme to other algorithms and benchmark it against existing analytical solutions to demonstrate the high accuracy of our presented algorithm.

Source: Symmetry

DOI: 10.3390/sym17111916

Authors: Ahmed Gamal Atta, Mohamed A. Abdelkawy, Naher Mohammed A. Alsafri, Waleed Mohamed Abd-Elhameed

Institutions: Ain Shams University, Imam Mohammad ibn Saud Islamic University, University of Jeddah, Cairo 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: Deanship of Scientific Research, Imam Mohammed Ibn Saud Islamic University