On the iterative methods of linearization, decrease of order and dimension of the karman-type PDEs

Abstract

Iterative methods to achieve a suitable linearization as well as a decrease of the order and dimension of nonlinear partial differential equations of the eighth order into the biharmonic and Poisson-type differential equations with their simultaneous linearization are proposed in this work. Validity and reliability of the obtained results are discussed using computer programs developed by the authors.

Original language	English
Article number	792829
Journal	The Scientific World Journal
Volume	2014
DOIs	https://doi.org/10.1155/2014/792829
Publication status	Published - 1 Jan 2014
Externally published	Yes

ASJC Scopus subject areas

Medicine(all)
Biochemistry, Genetics and Molecular Biology(all)
Environmental Science(all)

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10.1155/2014/792829

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title = "On the iterative methods of linearization, decrease of order and dimension of the karman-type PDEs",

abstract = "Iterative methods to achieve a suitable linearization as well as a decrease of the order and dimension of nonlinear partial differential equations of the eighth order into the biharmonic and Poisson-type differential equations with their simultaneous linearization are proposed in this work. Validity and reliability of the obtained results are discussed using computer programs developed by the authors.",

author = "Krysko, {A. V.} and J. Awrejcewicz and Pavlov, {S. P.} and Zhigalov, {M. V.} and Krysko, {V. A.}",

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AU - Zhigalov, M. V.

AU - Krysko, V. A.

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AB - Iterative methods to achieve a suitable linearization as well as a decrease of the order and dimension of nonlinear partial differential equations of the eighth order into the biharmonic and Poisson-type differential equations with their simultaneous linearization are proposed in this work. Validity and reliability of the obtained results are discussed using computer programs developed by the authors.

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