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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Bibliographic Details
Published in:	Scientific World Journal pp. 792829 - 792830
Main Authors:	Krysko, A V, Awrejcewicz, J, Pavlov, S P, Zhigalov, M V, Krysko, V A
Format:	research Journal Article
Published:	Wiley-Blackwell 2014
Online Access:	View this record in EBSCOhost

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Summary:	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.