Numerical Solution of Time Fractional Cable Equation via the Sinc-Bernoulli Collocation Method
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...
| Published in: | Journal of Applied and Computational Mechanics |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Shahid Chamran University of Ahvaz
2021-10-01
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| Subjects: | |
| Online Access: | https://jacm.scu.ac.ir/article_15318_34b03fdbad5545b18d79d846f7cb6fe1.pdf |
| Summary: | 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. |
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| ISSN: | 2383-4536 |