Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4625454 | Applied Mathematics and Computation | 2017 | 15 Pages |
Abstract
A new discrete spline method is developed to solve the two point fractional Bagley–Torvik equation.The method is based on discrete spline function and a nonstandard Grünwald–Letnikov difference (NSGD) and the weighted and shifted Grünwald–Letnikov difference (WSGD) operators to approximate the fractional derivative. Bounds for Grünwald–Letnikov weights are considered. Convergence analysis is discussed and a class of second order and third order methods are obtained. Illustrative examples are presented to validate the practical usefulness of the methods.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
W.K. Zahra, M. Van Daele,