Abstract
This paper deals with remarks on the linearization methods of nonlinear mathematical models of the phenomena.
We can classify the linear methods into two distinct types, the «exact methods» and the «approximate methods».
The advantages and disadvantages of these methods are clarified by appropriately selected examples.
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References
E. Kamke, «Differentialgleichungen reeler Functioned», 2nd edition, Leipzig (1952).
D. Magiros, «Exact solutions of nonlinear differential equations», General Electric Co., 73A5240, 11/26/73.
E. Stiefel and G. Scheifele, «Linear and regular celestial mechanics», Springer-Verlag, New York (1971).
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© 1985 D. Reidel Publishing Company, Dordrecht, Holland
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Magiros, D.G. (1985). ΕΦΗΡΜΟΣΜΕΝΑ ΜΑΘΗΜΑΤΙΚΑ. — On the linearization of nonlinear models of the phenomena. First part: Linearization by exact methods. In: Tzafestas, S.G. (eds) Selected Papers of Demetrios G. Magiros. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5368-0_8
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DOI: https://doi.org/10.1007/978-94-009-5368-0_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8869-5
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