On the Iterative Methods of Linearization, Decrease of Order and Dimension of the Karman-Type PDEs

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...

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Detalles Bibliográficos
Autores principales: Krysko, A. V., Awrejcewicz, J., Pavlov, S. P., Zhigalov, M. V., Krysko, V. A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3976857/
https://www.ncbi.nlm.nih.gov/pubmed/24757437
http://dx.doi.org/10.1155/2014/792829
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author Krysko, A. V.
Awrejcewicz, J.
Pavlov, S. P.
Zhigalov, M. V.
Krysko, V. A.
author_facet Krysko, A. V.
Awrejcewicz, J.
Pavlov, S. P.
Zhigalov, M. V.
Krysko, V. A.
author_sort Krysko, A. V.
collection PubMed
description 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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spelling pubmed-39768572014-04-22 On the Iterative Methods of Linearization, Decrease of Order and Dimension of the Karman-Type PDEs Krysko, A. V. Awrejcewicz, J. Pavlov, S. P. Zhigalov, M. V. Krysko, V. A. ScientificWorldJournal Research Article 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. Hindawi Publishing Corporation 2014-03-16 /pmc/articles/PMC3976857/ /pubmed/24757437 http://dx.doi.org/10.1155/2014/792829 Text en Copyright © 2014 A. V. Krysko et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Krysko, A. V.
Awrejcewicz, J.
Pavlov, S. P.
Zhigalov, M. V.
Krysko, V. A.
On the Iterative Methods of Linearization, Decrease of Order and Dimension of the Karman-Type PDEs
title On the Iterative Methods of Linearization, Decrease of Order and Dimension of the Karman-Type PDEs
title_full On the Iterative Methods of Linearization, Decrease of Order and Dimension of the Karman-Type PDEs
title_fullStr On the Iterative Methods of Linearization, Decrease of Order and Dimension of the Karman-Type PDEs
title_full_unstemmed On the Iterative Methods of Linearization, Decrease of Order and Dimension of the Karman-Type PDEs
title_short On the Iterative Methods of Linearization, Decrease of Order and Dimension of the Karman-Type PDEs
title_sort on the iterative methods of linearization, decrease of order and dimension of the karman-type pdes
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3976857/
https://www.ncbi.nlm.nih.gov/pubmed/24757437
http://dx.doi.org/10.1155/2014/792829
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