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

الملخص EN

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.