Volume 43 Issue 6
Jun.  2022
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CHEN Hongling, LI Xiaolin. Analysis of the Finite Point Method for Fractional Cable Equations[J]. Applied Mathematics and Mechanics, 2022, 43(6): 700-706. doi: 10.21656/1000-0887.420183
Citation: CHEN Hongling, LI Xiaolin. Analysis of the Finite Point Method for Fractional Cable Equations[J]. Applied Mathematics and Mechanics, 2022, 43(6): 700-706. doi: 10.21656/1000-0887.420183

Analysis of the Finite Point Method for Fractional Cable Equations

doi: 10.21656/1000-0887.420183
  • Received Date: 2021-07-02
  • Rev Recd Date: 2021-09-19
  • Available Online: 2022-06-02
  • Publish Date: 2022-06-30
  • With the central difference scheme to discretize the Riemann-Liouville time fractional derivatives and by means of the finite point method to establish discrete algebraic equation systems, a meshless finite point method was proposed for the numerical analysis of the fractional Cable equation. The error estimation of the method was derived and discussed in detail. Numerical examples verify the efficiency and convergence of the method and confirm the theoretical results.

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