Matematicheskie Zametki, 2024, Volume 115, Issue 5, paper published in the English version journal(Mi mzm14350)
Papers published in the English version of the journal
Laguerre Polynomials in the Forward and Backward Wave Profile Description for the Wave Equation on an Interval with the Robin Condition or the Attached Mass Condition
Abstract:
We obtain a formula describing the forward and backward wave profile for the
solution of an initial–boundary value problem for the wave equation on
an interval.
The following combinations of boundary conditions are considered:
(i) The first-kind condition at the left endpoint of the interval and the
third-kind
condition at the right endpoint.
(ii) The second-kind condition at the left endpoint and the third-kind
condition at the right endpoint.
(iii)
The first-kind condition at the left endpoint and the attached mass
condition at the right endpoint.
(iv) The second-kind condition at the left endpoint and the attached mass
condition
at the right endpoint.
The formula contains finitely many arithmetic operations, elementary functions,
quadratures, and transformations of the independent argument of the initial data
such as the multiplication by a number and taking the integer part of a number.
Keywords:one-dimensional wave equation, initial–boundary value problem, boundary
conditions of the first, second, and third kind, attached mass condition,
forward and backward wave profile, Laguerre polynomial.
Citation:
F. O. Naydyuk, V. L. Pryadiev, S. M. Sitnik, “Laguerre Polynomials in the Forward and Backward Wave Profile Description for the Wave Equation on an Interval with the Robin Condition or the Attached Mass Condition”, Math. Notes, 115:5 (2024), 789–799
\Bibitem{NayPrySit24}
\by F.~O.~Naydyuk, V.~L.~Pryadiev, S.~M.~Sitnik
\paper Laguerre Polynomials in the Forward and Backward Wave Profile Description for the Wave Equation on an Interval with the Robin Condition or the Attached Mass Condition
\jour Math. Notes
\yr 2024
\vol 115
\issue 5
\pages 789--799
\mathnet{http://mi.mathnet.ru/mzm14350}
\crossref{https://doi.org/10.1134/S0001434624050146}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85198516349}
Citation in format AMSBIB
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