AUTHOR=Ali Umair , Naeem Muhammad , Ganie Abdul Hamid , Fathima Dowlath , Salama Fouad Mohammad , Abdullah Farah Aini 

TITLE=Numerical approach for the fractional order cable model with theoretical analyses

JOURNAL=Frontiers in Physics

VOLUME=11

YEAR=2023

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2023.1160767

DOI=10.3389/fphy.2023.1160767

ISSN=2296-424X

ABSTRACT=<p>This study, considers the fractional order cable model (FCM) in the sense of Riemann–Liouville fractional derivatives (R-LFD). We use a modified implicit finite difference approximation to solve the FCM numerically. The Fourier series approach is used to examine the proposed scheme’s theoretical analysis, including stability and convergence. The scheme is shown to be unconditionally stable, and the approximate solution converges to the exact solution. To demonstrate the application and feasibility of the proposed approach, a numerical example is provided.</p>