ArticleJournal of advanced research2014
Numerical simulation of fractional Cable equation of spiny neuronal dendrites.
Article in Journal of advanced research, 2014. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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Who cites it
2 citing papers in PubMed.
- Fractional-Order Traveling Wave Approximations for a Fractional-Order Neural Field Model.Frontiers in computational neuroscience · 2022Article
- Legendre spectral-collocation method for solving some types of fractional optimal control problems.Journal of advanced research · 2015Article
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Authors and funding
3 authors.
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Abstract
In this article, numerical study for the fractional Cable equation which is fundamental equations for modeling neuronal dynamics is introduced by using weighted average of finite difference methods. The stability analysis of the proposed methods is given by a recently proposed procedure similar to the standard John von Neumann stability analysis. A simple and an accurate stability criterion valid for different discretization schemes of the fractional derivative and arbitrary weight factor is introduced and checked numerically. Numerical results, figures, and comparisons have been presented to confirm the theoretical results and efficiency of the proposed method.
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Registered trials
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