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International Journal of Differential Equations
Volume 2011 (2011), Article ID 231920, 12 pages
http://dx.doi.org/10.1155/2011/231920
Research Article

An Explicit Numerical Method for the Fractional Cable Equation

Departamento de Física, Universidad de Extremadura, 06071 Badajoz, Spain

Received 27 April 2011; Accepted 30 June 2011

Academic Editor: Fawang Liu

Copyright © 2011 J. Quintana-Murillo and S. B. Yuste. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [9 citations]

The following is the list of published articles that have cited the current article.

  • N.H. Sweilam, M.M. Khader, and M. Adel, “Numerical simulation of fractional Cable equation of spiny neuronal dendrites,” Journal of Advanced Research, vol. 5, no. 2, pp. 253–259, 2014. View at Publisher · View at Google Scholar
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  • N. H. Sweilam, M. M. Khader, and M. Adel, “Chebyshev Pseudo-Spectral Method for Solving Fractional Advection-Dispersion Equation,” Applied Mathematics, vol. 05, no. 19, pp. 3240–3248, 2014. View at Publisher · View at Google Scholar
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  • Jincun Liu, Hong Li, and Yang Liu, “A new fully discrete finite difference/element approximation for fractional cable equation,” Journal of Applied Mathematics and Computing, 2015. View at Publisher · View at Google Scholar
  • Bo Yu, and Xiaoyun Jiang, “Numerical Identification of the Fractional Derivatives in the Two-Dimensional Fractional Cable Equation,” Journal of Scientific Computing, 2015. View at Publisher · View at Google Scholar
  • Hadi Roohani Ghehsareh, Ali Zaghian, and Sayyed Mahmood Zabetzadeh, “The use of local radial point interpolation method for solving two-dimensional linear fractional cable equation,” Neural Computing and Applications, 2016. View at Publisher · View at Google Scholar
  • Yang Liu, Yan-Wei Du, Hong Li, and Jin-Feng Wang, “A two-grid finite element approximation for a nonlinear time-fractional Cable equation,” Nonlinear Dynamics, 2016. View at Publisher · View at Google Scholar
  • Yajun Wang, Yang Liu, Hong Li, and Jinfeng Wang, “Finite element method combined with second-order time discrete scheme for nonlinear fractional Cable equation,” European Physical Journal Plus, vol. 131, no. 3, 2016. View at Publisher · View at Google Scholar