Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5776633 | Applied Numerical Mathematics | 2017 | 11 Pages |
Abstract
A numerical method for fractional order differential equations (FDEs) and constant or time-varying delayed fractional differential equations (FDDEs) is constructed. This method is of BDF-type which is based on the interval approximation of the true solution by truncated shifted Chebyshev series. This approach can be reformulated in an equivalent way as a Runge-Kutta method and its Butcher tableau is given. A detailed local and global truncating errors analysis is deduced for the numerical solutions of FDEs and FDDEs. Illustrative examples are included to demonstrate the validity and applicability of the proposed approach.
Related Topics
Physical Sciences and Engineering
Mathematics
Computational Mathematics
Authors
V.G. Pimenov, A.S. Hendy,