|
|
 |
| |
|
|
|
Non-Standard Crank-Nicholson Method for Solving the Variable Order Fractional Cable Equation |
|
|
|
PP: 943-951 |
|
|
|
Author(s) |
|
|
|
N. H. Sweilam,
T. A. Assiri,
|
|
|
|
Abstract |
|
|
| In this paper, a non-standard Crank-Nicholson finite difference method (NSCN) is presented. NSCN is used to study
numerically the variable-order fractional Cable equation, where the variable order fractional derivatives are described in the Riemann-
Liouville and the Gr¨unwald-Letnikov sense. The stability analysis of the proposed methods is given by a recently proposed procedure
similar to the standard John von Neumann stability analysis. The reliability and efficiency of the proposed approach are demonstrated
by some numerical experiments. It is found that NSCN is preferable than the standard Crank-Nicholson finite difference method (SCN). |
|
|
|
|
|
|
|
