Journal of Applied and Computational Mechanics
Numerical Solution of Time Fractional Cable Equation via the Sinc-Bernoulli Collocation Method
Document Type : Research Paper
Authors
Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan 87317-53153, Iran
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
Main Subjects
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