Articles

NUMERICAL SIMULATIONS FOR A VARIABLE ORDER FRACTIONAL CABLE EQUATION

  • A. M. NAGY ,
  • N. H. SWEILAM
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  • 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 date: 2016-08-30

  Revised date: 2016-11-28

  Online 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.

Cite this article

A. M. NAGY , N. H. SWEILAM . NUMERICAL SIMULATIONS FOR A VARIABLE ORDER FRACTIONAL CABLE EQUATION[J]. Acta mathematica scientia, Series B, 2018 , 38(2) : 580 -590 . DOI: 10.1016/S0252-9602(18)30767-7

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