Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6422048 | Applied Mathematics and Computation | 2011 | 9 Pages |
Abstract
We focus on a numerical scheme applied for a fractional oscillator equation in a finite time interval. This type of equation includes a complex form of left- and right-sided fractional derivatives. Its analytical solution is represented by a series of left and right fractional integrals and therefore is difficult in practical calculations. Here we elaborated two numerical schemes being dependent on a fractional order of the equation. The results of numerical calculations are compared with analytical solutions. Then we illustrate convergence and stability of our schemes.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
T. Blaszczyk, M. Ciesielski, M. Klimek, J. Leszczynski,