Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7543202 | Mathematics and Computers in Simulation | 2018 | 18 Pages |
Abstract
We introduce a multiscale collocation method to numerically solve differential problems involving both ordinary and fractional derivatives of high order. The proposed method uses multiresolution analyses (MRA) as approximating spaces and takes advantage of a finite difference formula that allows us to express both ordinary and fractional derivatives of the approximating function in a closed form. Thus, the method is easy to implement, accurate and efficient. The convergence and the stability of the multiscale collocation method are proved and some numerical results are shown.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
L. Pezza, F. Pitolli,