NUMERICAL SIMULATIONS FOR A VARIABLE ORDER FRACTIONAL CABLE EQUATION

被引：12

作者：

Nagy, A. M. ^{[1
]}

Sweilam, N. H. ^{[2
]}

机构：

[1] Benha Univ, Dept Math, Fac Sci, Banha 13518, Egypt

[2] Cairo Univ, Dept Math, Fac Sci, Giza 12613, Egypt

来源：

ACTA MATHEMATICA SCIENTIA | 2018年 / 38卷 / 02期

关键词：

Crank-Nicolson method; variable order fractional cable equation; stability analysis;

D O I：

10.1016/S0252-9602(18)30767-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 Grunwald-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.

引用

页码：580 / 590

页数：11

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