Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
759625 | Communications in Nonlinear Science and Numerical Simulation | 2012 | 9 Pages |
Abstract
In this paper, the fractional variational integrators for a class of fractional variational problems are developed. The fractional discrete Euler–Lagrange equation is obtained. Based on the Grünwald–Letnikov method and Diethelm’s fractional backward differences, some fractional variational integrators are presented and the fractional variational errors are discussed. Some numerical examples are presented to illustrate these results.
► The fractional variational integrators for a class of fractional variational problems are developed. ► Fractional discrete Euler–Lagrange equation is obtained. ► Some fractional variational integrators are presented and the fractional variational errors are discussed. ► Some numerical examples are also given.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
Dongling Wang, Aiguo Xiao,