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.
| Original language | English |
|---|---|
| Article number | 792829 |
| Journal | The Scientific World Journal |
| Volume | 2014 |
| DOIs | |
| Publication status | Published - 1 Jan 2014 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Medicine(all)
- Biochemistry, Genetics and Molecular Biology(all)
- Environmental Science(all)
Cite this
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.
In: The Scientific World Journal, Vol. 2014, 792829, 01.01.2014.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - On the iterative methods of linearization, decrease of order and dimension of the karman-type PDEs
AU - Krysko, A. V.
AU - Awrejcewicz, J.
AU - Pavlov, S. P.
AU - Zhigalov, M. V.
AU - Krysko, V. A.
PY - 2014/1/1
Y1 - 2014/1/1
N2 - 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.
AB - 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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UR - http://www.scopus.com/inward/citedby.url?scp=84897483906&partnerID=8YFLogxK
U2 - 10.1155/2014/792829
DO - 10.1155/2014/792829
M3 - Article
VL - 2014
JO - The Scientific World Journal
JF - The Scientific World Journal
SN - 2356-6140
M1 - 792829
ER -