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

Autor: Krysko AV; Engels Institute of Technology (Branch), Saratov State Technical University, Department of Higher Mathematics and Mechanics, Russian Federation, Ploschad Svobodi 17, Engels, Saratov 413100, Russia., Awrejcewicz J; Department of Automation and Biomechanics, Lodz University of Technology, and Department of Vehicles, Warsaw University of Technology, 84 Narbutta Street, 02-524 Warszawa, Poland., Pavlov SP; Saratov State Technical University, Department of Mathematics and Modeling, Russian Federation, Polytehnicheskaya 77, Saratov 410054, Russia., Zhigalov MV; Saratov State Technical University, Department of Mathematics and Modeling, Russian Federation, Polytehnicheskaya 77, Saratov 410054, Russia., Krysko VA; Saratov State Technical University, Department of Mathematics and Modeling, Russian Federation, Polytehnicheskaya 77, Saratov 410054, Russia.
Jazyk: angličtina
Zdroj: TheScientificWorldJournal [ScientificWorldJournal] 2014 Mar 16; Vol. 2014, pp. 792829. Date of Electronic Publication: 2014 Mar 16 (Print Publication: 2014).
DOI: 10.1155/2014/792829
Abstrakt: 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.
Databáze: MEDLINE
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