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

Dariusz W. Brzeziński

Dariusz W. Brzeziński

Institute of Applied Computer Science, Lodz University of TechnologyŁódź, Poland
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Brzeziński, Dariusz W.
  
01 gru 2018
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Data publikacji: 01 gru 2018
Zakres stron: 487 - 502
Otrzymano: 26 sie 2018
Przyjęty: 26 lis 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.
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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〉.
Język:
Angielski
Częstotliwość wydawania:
1 razy w roku
Dziedziny czasopisma:
Nauki biologiczne, Nauki biologiczne, inne, Matematyka, Matematyka stosowana, Matematyka ogólna, Fizyka, Fizyka, inne
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