Application of the Laplace transform to the analysis of a mixed problem describing the vibrations of a compound rod

We suggest a method for finding a closed-form expression for the solution of the mixed problem on the vibrations excited in a compound rod by boundary conditions of the first, second, and third kind. The method uses the Laplace transform. We also suggest one possible numerical method for finding the...

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Veröffentlicht in:	Differential equations 2014, Vol.50 (1), p.88-97
1. Verfasser:	Rogozhnikov, A. M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Boundary conditions Difference and Functional Equations Differential equations Exact solutions Laplace transforms Mathematical analysis Mathematical functions Mathematical models Mathematics Mathematics and Statistics Numerical analysis Ordinary Differential Equations Partial Differential Equations Studies Theorems Vibration
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Zusammenfassung:	We suggest a method for finding a closed-form expression for the solution of the mixed problem on the vibrations excited in a compound rod by boundary conditions of the first, second, and third kind. The method uses the Laplace transform. We also suggest one possible numerical method for finding the solution.
ISSN:	0012-2661 1608-3083
DOI:	10.1134/S0012266114010121