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Journal of Engineering Mathematics
Published in: Journal of Engineering Mathematics 1/2014

01-08-2014

Computation of the Green’s function for the transverse vibration of a composite circular membrane

Authors: V. G. Yakhno, D. Ozdek

Published in: Journal of Engineering Mathematics | Issue 1/2014

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Abstract

A new analytical method is suggested for the approximate computation of the time-dependent Green’s function for the equations of the transverse vibration of a composite circular membrane with piecewise constant varying density and tension. The method is based on the derivation of eigenvalues and eigenfunctions for an ordinary differential equation with piecewise constant coefficients and an approximate computation of the Green’s function in the form of the Fourier series with a finite number of terms relative to the orthogonal set of the derived eigenfunctions. A computational experiment confirms the robustness of the method.
previous article Detailed comparison of numerical methods for the perturbed sine-Gordon equation with impulsive forcing

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Appendix
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Metadata
Title
Computation of the Green’s function for the transverse vibration of a composite circular membrane
Authors
V. G. Yakhno
D. Ozdek
Publication date
01-08-2014
Publisher
Springer Netherlands
Published in
Journal of Engineering Mathematics / Issue 1/2014
Print ISSN: 0022-0833
Electronic ISSN: 1573-2703
DOI
https://doi.org/10.1007/s10665-013-9673-2

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