FDE12
Predictor-corrector PECE method for fractional differential equations. MATLAB Central File Exchange. FDE12 solves an initial value problem for a non-linear differential equation of fractional order (FDE). This is an implementation of the predictor-corrector method of Adams-Bashforth-Moulton described in [1]. Convergence and accuracy of the method are studied in [2]. The implementation with multiple corrector iterations has been proposed and discussed for multiterm FDEs in [3]. In this implementation the discrete convolutions are evaluated by means of the FFT algorithm described in [4] allowing to keep the computational cost proportional to N*log(N)^2 instead of N^2 as in the classical implementation; N is the number of time-point in which the solution is evaluated, i.e. N = (TFINAL-T)/H. The stability properties of the method implemented by FDE12 have been studied in [5].
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References in zbMATH (referenced in 9 articles )
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- Danca, Marius-F.; Garrappa, Roberto; Tang, Wallace K. S.; Chen, Guanrong: Sustaining stable dynamics of a fractional-order chaotic financial system by parameter switching (2013)
- Ongun, Mevlüde Yakıt; Arslan, Damla; Garrappa, Roberto: Nonstandard finite difference schemes for a fractional-order Brusselator system (2013)