ANALYSIS OF BIHARMONIC AND HARMONIC MODELS BY THE METHODS OF ITERATIVE EXTENSIONS
DOI:
https://doi.org/10.52754/16948645_2023_1_153Keywords:
biharmonic models; methods of iterative extensions.Abstract
The article describes the analysis of biharmonic models by iterative extension methods. Various stationary physical systems in mechanics are modeled using boundary value problems for inhomogeneous Sophie Germain. Using the biharmonic model, i.e. boundary value problem for the inhomogeneous Sophie Germain equation, describe the deflection of plates, flows during fluid flows. With the help of the developed methods of iterative extensions, efficient algorithms for solving the problems under consideration are obtained.
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