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

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.

Opis

Słowa kluczowe

Cytowanie

The Scientific World Journal ,Vol. 2014 (2014), Article ID 792829, 15 pages