Efficient Numerical Methods of Inverse Coefficient Problem Solution for One Inhomogeneous Body

In the present paper, the problems of longitudinal and flexural vibrations of an inhomogeneous rod are considered. The Young’s modulus and density are variable in longitudinal coordinate. Vibrations are caused by a load applied at the right end. The proposed method allows us to consider a wider clas...

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Bibliographic Details
Published in:	Axioms Vol. 12; no. 10; p. 912
Main Authors:	Vatulyan, Alexandr, Uglich, Pavel, Dudarev, Vladimir, Mnukhin, Roman
Format:	Journal Article
Language:	English
Published:	Basel MDPI AG 01.09.2023
Subjects:	Acoustics Approximation theory Density Fredholm equations Fredholm integral equation Frequency ranges Genetic algorithms Inhomogeneity inhomogeneous body Integral equations inverse problem Inverse problems Iterative methods Kernels LSQR method Mathematical research Methods Modulus of elasticity Nondestructive testing Numerical analysis Numerical methods Physical properties Regularization Sensitivity analysis Tikhonov regularization Russia
ISSN:	2075-1680, 2075-1680
Online Access:	Get full text
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