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

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Saratov State Technical University, Department of Mathematics and Modeling, Russian Federation, Polytehnicheskaya 77, Saratov 410054, Russia.

Published: January 2015

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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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3976857PMC
http://dx.doi.org/10.1155/2014/792829DOI Listing

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