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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.
  
Dec 01, 2018
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Published Online: Dec 01, 2018
Page range: 487 - 502
Received: Aug 26, 2018
Accepted: Nov 26, 2018
DOI: https://doi.org/10.2478/AMNS.2018.2.00038
Keywords
© 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〉.
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