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

Dariusz W. Brzeziński
Dariusz W. Brzeziński
   | 01. Dez. 2018
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Online veröffentlicht: 01. Dez. 2018
Seitenbereich: 487 - 502
Eingereicht: 26. Aug. 2018
Akzeptiert: 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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