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Review of numerical methods for NumILPT with computational accuracy assessment for fractional calculus

Dariusz W. Brzeziński
Dariusz W. Brzeziński
   | 01 dic 2018
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Pubblicato online: 01 dic 2018
Pagine: 487 - 502
Ricevuto: 26 ago 2018
Accettato: 26 nov 2018
DOI: https://doi.org/10.2478/AMNS.2018.2.00038
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© 2018 Dariusz W. Brzeziński, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Fig. 1

Plots of numerical inversions f̂(t) of the Laplace transform (1) (a) and their relative errors (b) for applied methods in interval (0,10〉.
Plots of numerical inversions f̂(t) of the Laplace transform (1) (a) and their relative errors (b) for applied methods in interval (0,10〉.

Fig. 2

Plots of numerical inversions f̂(t) of the Laplace transform (2) (a) and their relative errors (b) for applied methods in interval (0,30〉.
Plots of numerical inversions f̂(t) of the Laplace transform (2) (a) and their relative errors (b) for applied methods in interval (0,30〉.

Fig. 3

Plots of numerical inversions f̂(t) of the Laplace transform (3) (a) and their relative errors (b) for applied methods in interval (0,30〉.
Plots of numerical inversions f̂(t) of the Laplace transform (3) (a) and their relative errors (b) for applied methods in interval (0,30〉.

Fig. 4

Plots of numerical inversions f̂(t) of the Laplace transform (4) (a) and their relative errors (b) for applied methods in interval (0,50〉.
Plots of numerical inversions f̂(t) of the Laplace transform (4) (a) and their relative errors (b) for applied methods in interval (0,50〉.

Fig. 5

Plots of numerical inversions f̂(t) of the Laplace transform (5) (a) and their relative errors (b) for applied methods in interval (0,30〉.
Plots of numerical inversions f̂(t) of the Laplace transform (5) (a) and their relative errors (b) for applied methods in interval (0,30〉.

Fig. 6

Plots of numerical inversions f̂(t) of the Laplace transform (6) (a) and their relative errors (b) for applied methods in interval (0,30〉.
Plots of numerical inversions f̂(t) of the Laplace transform (6) (a) and their relative errors (b) for applied methods in interval (0,30〉.

Fig. 7

Plots of numerical inversions f̂(t) of the Laplace transform (7) (a) and their relative errors (b) for applied methods in interval (0,30〉.
Plots of numerical inversions f̂(t) of the Laplace transform (7) (a) and their relative errors (b) for applied methods in interval (0,30〉.

Fig. 8

Plots of numerical inversions f̂(t) of the Laplace transform (8) (a) and their relative errors (b) for applied methods in interval (0,30〉.
Plots of numerical inversions f̂(t) of the Laplace transform (8) (a) and their relative errors (b) for applied methods in interval (0,30〉.

Fig. 9

Plots of numerical inversions f̂(t) of the Laplace transform (9) (a) and their relative errors (b) for applied methods in interval (0,30〉.
Plots of numerical inversions f̂(t) of the Laplace transform (9) (a) and their relative errors (b) for applied methods in interval (0,30〉.

Fig. 10

Plots of numerical inversions f̂(t) of the Laplace transform (10) (a) and their relative errors (b) for applied methods in interval (0,20〉.
Plots of numerical inversions f̂(t) of the Laplace transform (10) (a) and their relative errors (b) for applied methods in interval (0,20〉.
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