A Stable Numerical Scheme for Fitzhugh-Nagumo Time-Fractional Partial Differential Equation

Authors

  • Sami Injrou
  • Suliman Mahmoud
  • Amer Kassem

Abstract

This research presents a stable numerical scheme for the Fitzhugh-Nagumo time-fractional partial differential equation using finite differences method, and L1-approximation for the fractional operator. The nonlinear term has been treated by Taylor approximation of zero degree. The unconditional stability and consistency for the proposed scheme have been theoretically proven, and the convergence have been numerically studied. We provide some experiments and comparisons that supports the theoretical results and shows the efficiency of the proposed scheme.

 

 

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Published

2021-01-18

How to Cite

1.
Injrou S, Mahmoud S, Kassem A. A Stable Numerical Scheme for Fitzhugh-Nagumo Time-Fractional Partial Differential Equation. TUJ-BA [Internet]. 2021Jan.18 [cited 2024Apr.30];41(4). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/9001

Issue

Vol. 41 No. 4 (2019): العلوم الأساسية

Section

Articles

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