TY - JOUR
ID - 15318
TI - Numerical Solution of Time Fractional Cable Equation via the Sinc-Bernoulli Collocation Method
JO - Journal of Applied and Computational Mechanics
JA - JACM
LA - en
SN -
AU - Moshtaghi, Nasrin
AU - Saadatmandi, Abbas
AD - Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan 87317-53153, Iran
Y1 - 2021
PY - 2021
VL - 7
IS - 4
SP - 1916
EP - 1924
KW - Fractional cable equation
KW - Bernoulli polynomials
KW - Riemann-Liouville fractional derivative
KW - Sinc function
KW - Numerical solution
DO - 10.22055/jacm.2020.31923.1940
N2 - An important equation usually used in modeling neuronal dynamics is cable equation. In this work, a numerical method for the fractional cable equation which involves two Riemann-Liouville fractional derivatives is proposed. Our computational technique is based on collocation idea where a combination of Bernoulli polynomials and Sinc functions are used to approximate the solution to this problem. The constructed approximation by our method convert the fractional cable equation into a set of algebraic equations. Also, we provide two numerical examples to confirm the accuracy and effectiveness of the present method.
UR - https://jacm.scu.ac.ir/article_15318.html
L1 - https://jacm.scu.ac.ir/article_15318_34b03fdbad5545b18d79d846f7cb6fe1.pdf
ER -