Numerical approach for the fractional order cable model with theoretical analyses

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