@article{Li2023, 
author = {Jin Li and Yongling Cheng},
title = {Barycentric rational interpolation method for solving fractional cable equation},
year = {2023},
journal = {Electronic Research Archive},
volume = {31},
number = {6},
pages = {3649-3665},
keywords = {barycentric rational interpolation, collocation method, Fractional Cable equation, fractional derivative},
url = {https://www.sciopen.com/article/10.3934/era.2023185},
doi = {10.3934/era.2023185},
abstract = {A fractional cable (FC) equation is solved by the barycentric rational interpolation method (BRIM). As the fractional derivative is a nonlocal operator, we develop a spectral method to solve the FC equation to get the coefficient matrix as the full matrix. First, the fractional derivative of the FC equation is changed to a nonsingular integral from the singular kernel to the density function. Second, an efficient quadrature of a new Gauss formula is constructed to compute it simply. Third, a matrix equation of the discrete FC equation is obtained by the unknown function replaced by a barycentric rational interpolation basis function. Then, convergence rate for FC equation of the BRIM is derived. At last, a numerical example is given to illustrate our results.}
}