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 -