Numerical Method For Approximate Solutions of Fractional Differential Equations with Time Delay
Publish place: International Journal of Industrial Electronics, Control and Optimization، Vol: 3، Issue: 2
Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IECO-3-2_003
تاریخ نمایه سازی: 20 تیر 1401
Abstract:
Due to the easy adaption of radial basis functions (RBFs), a directRBF collocation method is considered to develop an approximate scheme to solvefractional 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 ofproblems confirm that the proposed method is slightly more efficient than thoseintroduced in other literature and the convergence rate of our approach is high.
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Authors
fahimeh akhavan ghassabzadeh
Faculty of Mathematics, University of Gonabad, Gonabad, Iran
Samaneh Soradi zeid
Faculty of Industry and Mining (Khash), University of Sistan and Baluchestan, Zahedan, Iran
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