Analysis of the Finite Point Method for Fractional Cable Equations

By using the central difference scheme to discretize the Riemann-Liouville time fractional derivatives and using the finite point method to establish discrete algebraic equation systems, a meshless finite point method is proposed for the numerical analysis of the fractional Cable equation. The error estimation of the method is derived in detail. Numerical results verify the efficiency and convergence of the method and confirm the theoretical results.