Analysis of the Finite Point Method for Fractional Cable Equations

CHEN Hongling; LI Xiaolin

doi:10.21656/1000-0887.420183

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

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

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Analysis of the Finite Point Method for Fractional Cable Equations

doi: 10.21656/1000-0887.420183

CHEN Hongling,
LI Xiaolin^,

School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, P.R.China

Received Date: 2021-07-02
Rev Recd Date: 2021-09-19

Available Online: 2022-06-02

Publish Date: 2022-06-30

Abstract

Abstract

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.
- fractional Cable equation,
- finite point method,
- meshless method,
- error estimation

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References(19)

References

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