On the Iterative Methods of Linearization, Decrease of Order and Dimension of the Karman-Type PDEs-Reference-Cited by-同舟云学术

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

Published:2014 Issue: Volume:2014 Page:1-15
ISSN:2356-6140
Container-title:The Scientific World Journal
language:en
Short-container-title:The Scientific World Journal

Author:

Krysko A. V.¹,Awrejcewicz J.²,Pavlov S. P.³,Zhigalov M. V.³,Krysko V. A.³

Affiliation:

1. Engels Institute of Technology (Branch), Saratov State Technical University, Department of Higher Mathematics and Mechanics, Russian Federation, Ploschad Svobodi 17, Engels, Saratov 413100, Russia

2. Department of Automation and Biomechanics, Lodz University of Technology, and Department of Vehicles, Warsaw University of Technology, 84 Narbutta Street, 02-524 Warszawa, Poland

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

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.

Funder

Narodowe Centrum Nauki

Publisher

Hindawi Limited

Subject

General Environmental Science,General Biochemistry, Genetics and Molecular Biology,General Medicine

Link

http://downloads.hindawi.com/journals/tswj/2014/792829.pdf

Reference21 articles.

1. Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II

2. Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I

3. On the finite element—least squares approximation to higher order elliptic systems

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