Acta mathematica scientia,Series B ›› 2018, Vol. 38 ›› Issue (2): 580-590.doi: 10.1016/S0252-9602(18)30767-7

• Articles • Previous Articles     Next Articles

NUMERICAL SIMULATIONS FOR A VARIABLE ORDER FRACTIONAL CABLE EQUATION

A. M. NAGY1, N. H. SWEILAM2   

  1. 1. Department of Mathematics, Faculty of Science, Benha University, Benha 13518, Egypt;
    2. Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt
  • Received:2016-08-30 Revised:2016-11-28 Online:2018-04-25 Published:2018-04-25

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 RiemannLiouville 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.

Key words: Crank-Nicolson method, variable order fractional cable equation, stability analysis

Trendmd