Numerical Methods

Milici, Constantin; Drăgănescu, Gheorghe; Tenreiro Machado, J.

doi:10.1007/978-3-030-00895-6_6

Constantin Milici⁵,
Gheorghe Drăgănescu⁶ &
J. Tenreiro Machado⁷

Part of the book series: Nonlinear Systems and Complexity ((NSCH,volume 25))

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Abstract

This chapter studies several numerical methods for fractional order systems. In the following sections variational iteration, least squares, Euler’s, and Runge–Kutta methods are analyzed.

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Notes

1.
Joseph-Louis Lagrange (1736–1813).
2.
J. Bernoulli (1655–1705).
3.
B.G. Galerkin (1871–1945).
4.
C.D.T. Runge (1856–1927).
5.
M.W. Kutta (1867–1944).
6.
B. van der Pol (1889–1959).
7.
Ge. Duffing (1861–1944).
8.
O.E. Rössler(1940–).
9.
L.O. Chua (1936–).
10.
E.H. Colpitts (1872–1949).
11.
D.A. Sprott (1930–2013).

References

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Authors and Affiliations

Department of Mathematics, Polytechnic University of Timişoara, Timişoara, Romania
Constantin Milici
Research Center in Theoretical Physics, West University of Timişoara, Timişoara, Romania
Gheorghe Drăgănescu
Department of Electrical Engineering, Polytechnic of Porto, Porto, Portugal
J. Tenreiro Machado

Authors

Constantin Milici
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Gheorghe Drăgănescu
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J. Tenreiro Machado
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Milici, C., Drăgănescu, G., Tenreiro Machado, J. (2019). Numerical Methods. In: Introduction to Fractional Differential Equations. Nonlinear Systems and Complexity, vol 25. Springer, Cham. https://doi.org/10.1007/978-3-030-00895-6_6

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DOI: https://doi.org/10.1007/978-3-030-00895-6_6
Published: 29 October 2018
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-00894-9
Online ISBN: 978-3-030-00895-6
eBook Packages: EngineeringEngineering (R0)

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