Results 11 to 20 of about 2,067 (261)
Singular integral equations of convolution type with Hilbert kernel and a discrete jump problem
Advances in Difference Equations, 2017 One class of singular integral equations of convolution type with Hilbert kernel is studied in the space L 2 [ − π , π ] $L^{2}[-\pi, \pi]$ in the article.
Pingrun Li
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Discrete Singular Convolution Method for Acoustic Transmission Lines
Acoustics Australia, 2020 Discrete singular convolution (DSC) algorithm is an accurate dynamic analysis method for single structures. However, vibration analysis of connected structures via the DSC method is limited to step beams and plates. This paper extends the applicability of the DSC method in handling acoustic transmission lines composed of several duct elements with ...
Secgin, ABDULLAH, Kara, M., Baygun, T.
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Curved and Layered Structures, 2016 In the present manuscript, free vibration response of circular cylindrical shells with functionally graded material (FGM) is investigated. The method of discrete singular convolution (DSC) is used for numerical solution of the related governing equation ...
Mercan Kadir +2 more
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Discrete Singular Convolution for Free Vibration Analysis of Anisotropic Rectangular Plates [PDF]
Mathematical and Computational Applications, 2007 The focus in this study is on the application of the discrete singular convolution (DSC) method to the differential equation, which governs the free vibration of anisotropic plates, Regularized Shannon's delta (RSD) kernel is selected as singular convolution to illustrate the present algorithm.
Ö. Civalek, O. Kiracioglu
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Discrete singular convolution for the prediction of high frequency vibration of plates
International Journal of Solids and Structures, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhao, Y. B., Wei, G. W., Xiang, Yang
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Shock and Vibration, 2015 Dynamic instability of a rotating ship shaft subjected to a periodic axial force is studied by using discrete singular convolution (DSC) with regularized Shannon’s delta kernel.
Wei Li +3 more
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Numerical solution of a parabolic equation with a weakly singular positive-type memory term
Electronic Journal of Differential Equations, 1997 We find a numerical solution of an initial and boundary value problem. This problem is a parabolic integro-differential equation whose integral is the convolution product of a positive-definite weakly singular kernel with the time derivative of the ...
Marian Slodicka
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Computation, 2023 In recent times, the global community has been faced with the unprecedented challenge of the coronavirus disease (COVID-19) pandemic, which has had a profound and enduring impact on both global health and the global economy.
M. Mohamed, S. M. Mabrouk, A. S. Rashed
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, 2022 This article enhances the discrete singular convolution method for free vibration analysis of non-uniform thin beams with variability in their geometrical and material properties such as thickness, specific volume (inverse of density) and Young’s modulus.
Kara, Murat +2 more
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Discrete Dynamics in Nature and Society, 2021 In this paper, a new optimal fourth-order 21-point finite difference scheme is proposed to solve the 2D Helmholtz equation numerically, with the technique of matched interface boundary (MIB) utilized to treat boundary problems.
Dongsheng Cheng +2 more
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