@article { author = {Moshtaghi, Nasrin and Saadatmandi, Abbas}, title = {Numerical Solution of Time Fractional Cable Equation via the Sinc-Bernoulli Collocation Method}, journal = {Journal of Applied and Computational Mechanics}, volume = {7}, number = {4}, pages = {1916-1924}, year = {2021}, publisher = {Shahid Chamran University of Ahvaz}, issn = {2383-4536}, eissn = {2383-4536}, doi = {10.22055/jacm.2020.31923.1940}, abstract = {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.}, keywords = {Fractional cable equation,Bernoulli polynomials,Riemann-Liouville fractional derivative,Sinc function,Numerical solution}, url = {https://jacm.scu.ac.ir/article_15318.html}, eprint = {https://jacm.scu.ac.ir/article_15318_34b03fdbad5545b18d79d846f7cb6fe1.pdf} }