Nonlinear Inverse Problems for Von Karman Equations: A Neural Network Approximation
Journal Title: Asian Research Journal of Mathematics - Year 2017, Vol 7, Issue 3
Abstract
This paper considers the coefficient inverse problem for the nonlinear boundary problem of von Karman equations. The Fréchet differentiability of the inverse operator is proved and its neural network approximation is constructed with neuroevolution augmented topology model. The model used proves efficient to solve the coefficient inverse problem even for the parameters values close to those corresponding to singular solutions of the direct problem.
Authors and Affiliations
Natalia I. Obodan, Oleksii S. Mahas, Vasilii A. Gromov
Keywords
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- EP ID EP338457
- DOI 10.9734/ARJOM/2017/37856
- Views 105
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