Document Type : Research Articles
Authors
- fahimeh akhavan ghassabzadeh ^{1}
- Samaneh Soradi zeid ^{} ^{2}
^{1} Faculty of Mathematics, University of Gonabad, Gonabad, Iran
^{2} Faculty of Industry and Mining (Khash), University of Sistan and Baluchestan, Zahedan, Iran
Abstract
Due to the easy adaption of radial basis functions (RBFs), a direct
RBF collocation method is considered to develop an approximate scheme to solve
fractional delay differential equations (FDDEs). The method of RBFs is a method of scattered data interpolation that has many application in different fields. In spite of easy implementation of other high-order methods and finite difference schemes for solving a problem of fractional order derivatives, the challenge of these methods is their limited accuracy, locality, complexity and high cost of computing in discretization of the fractional terms, which suggest that global scheme such as RBFs that are more accurate way for discretizing fractional calculus and would allow us to remove the ill-conditioning of the system of discrete equations. Applications to a variety of
problems confirm that the proposed method is slightly more efficient than those
introduced in other literature and the convergence rate of our approach is high.
Keywords
Main Subjects
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