Advances in Difference Equations (Nov 2018)
An efficient numerical algorithm for solving the two-dimensional fractional cable equation
Abstract
Abstract In this paper, we consider an efficient numerical algorithm for solving the two-dimensional fractional cable equation. The stability and convergency of the numerical scheme are rigorously proved by the Fourier analysis. Then we find that the convergence order is O(τ2+hx4+hy4) $O(\tau^{2}+h_{x}^{4}+h_{y}^{4})$. Finally, numerical experiments are carried out to verify the accuracy and effectiveness of the new scheme.
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