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Dr. Abdelhameed Mohamed Abdelhameed Nagy :: Publications: |
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| Title: | Numerical simulations for a variable order fractional cable equation |
| Authors: | A. M. NAGY, N. H. SWEILAM |
| Year: | 2018 |
| Keywords: | Not Available |
| Journal: | Acta Mathematica Scientia |
| Volume: | 38 |
| Issue: | 2 |
| Pages: | 580-590 |
| Publisher: | Elsevier |
| Local/International: | International |
| Paper Link: | Not Available |
| Full paper | Not Available |
| Supplementary materials | Not Available |
| Abstract: |
In this article, Crank-Nicolson method is used to study the variable order fractional cable equation. The variable order fractional derivatives are described in the Riemann-Liouville and the Grünwald-Letnikov sense. The stability analysis of the proposed technique is discussed. Numerical results are provided and compared with exact solutions to show the accuracy of the proposed technique. |
