A Tau-Like Numerical Method for Solving Fractional Delay Integro-Differential Equations
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Abstract
In this paper, an operational matrix formulation of the Tau method is herein discussed to solve a class of delay fractional integrodifferential equations. The approximate solution is sought by using a suitable matrix representation of fractional and delay integrals. An error bound is herein for the first time discussed. Numerical examples show the effectiveness of the method. (C) 2020 IMACS. Published by Elsevier B.V. All rights reserved.
Description
Keywords
Tau Method, Operational Matrix, Delay Integro-Differential Equations, Fractional Integrals, Delay Integro–Differential Equations, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Fractional derivatives and integrals, operational matrix, fractional integrals, Numerical methods for integral equations, Tau method, Numerical methods for initial value problems involving ordinary differential equations, Stability and convergence of numerical methods for ordinary differential equations, delay integro-differential equations
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Shahmorad, S.; Ostadzad, M.H.; Baleanu, D., "A Tau–Like Numerical Method for Solving Fractional Delay Integro–Differential Equations", Vol. 151, pp. 322-336, (2020).
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32
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151
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322
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336
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