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


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