Temporal evolution of a circular membrane subject to various boundary conditions

L. K. Castelano*, M. S. Barbosa, D. M. Redondo

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

In this paper we illustrate a standard problem of mathematical physics, by exploring the potential of using a computer algebra system in a classroom experiment. Although many textbooks describe the problem and solve its particular examples to variable extent, to the student is always left the task of imagining, after a few tedious calculations, the temporal evolution of the system. The aim of this paper is, using algebraic computation, to give a complete route to the problem of an asymmetrically perturbed circular membrane in viscous media with the usual boundary conditions, including the computer animation of the results.

Original languageEnglish
Pages (from-to)107-119
Number of pages13
JournalEuropean Journal of Physics
Volume26
Issue number1
DOIs
Publication statusPublished - Jan 2005
Externally publishedYes

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