SubIval (the subinterval-based method; first appearance in ) is a numerical method for computations of the fractional derivative in IVPs (initial value problems). In a computed time step its usage results in an implicit formula much like one that can be obtained then applying an implicit BDF (backward differentiation formula) for a first order derivative. The formula resulting from SubIval is: t0Dαtx(t)≈ax(t)+b. (1) SubIval works so far for the Riemann-Liouville and Caputo definitions of the fractional derivative.
Keywords for this software
References in zbMATH (referenced in 7 articles , 1 standard article )
Showing results 1 to 7 of 7.
- Jakubowska-Ciszek, Agnieszka; Walczak, Janusz: Frequency method for determining the equivalent parameters of fractional-order elements (L_\betaC_\alpha) (2020)
- Majka, Łukasz: Using fractional calculus in an attempt at modeling a high frequency AC exciter (2020)
- Majka, Łukasz: Fractional derivative approach in modeling of a nonlinear coil for ferroresonance analyses (2019)
- Sowa, Marcin: Solutions of circuits with fractional, nonlinear elements by means of a SubIval solver (2019)
- Sowa, Marcin: Application of subival in solving initial value problems with fractional derivatives (2018)
- Sowa, Marcin: Application of SubIval, a method for fractional-order derivative computations in IVPs (2017)
- Sowa, Marcin: Error computation strategies in an adaptive step size solver for time fractional problems (2017)