Temporal evolution of a circular membrane subject to various boundary conditions
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Castelano, LK; Barbosa, Marconi; Redondo, D M
Description
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...[Show more]
dc.contributor.author | Castelano, LK | |
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dc.contributor.author | Barbosa, Marconi | |
dc.contributor.author | Redondo, D M | |
dc.date.accessioned | 2015-12-10T21:55:53Z | |
dc.identifier.issn | 0143-0807 | |
dc.identifier.uri | http://hdl.handle.net/1885/39171 | |
dc.description.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. | |
dc.publisher | Institute of Physics Publishing | |
dc.source | European Journal of Physics | |
dc.subject | Keywords: Animation; Bessel functions; Boundary conditions; Computer graphics; Computer simulation; Differential equations; Eigenvalues and eigenfunctions; Poles and zeros; Wave equations; Circular membrane; Mathematical physics; Physics | |
dc.title | Temporal evolution of a circular membrane subject to various boundary conditions | |
dc.type | Journal article | |
local.description.notes | Imported from ARIES | |
local.identifier.citationvolume | 26 | |
dc.date.issued | 2005 | |
local.identifier.absfor | 010207 - Theoretical and Applied Mechanics | |
local.identifier.absfor | 020301 - Acoustics and Acoustical Devices; Waves | |
local.identifier.ariespublication | u8611701xPUB172 | |
local.type.status | Published Version | |
local.contributor.affiliation | Castelano, LK, Universidade de Sao Paulo | |
local.contributor.affiliation | Barbosa, Marconi, College of Medicine, Biology and Environment, ANU | |
local.contributor.affiliation | Redondo, D M, Universidade de Sao Paulo | |
local.description.embargo | 2037-12-31 | |
local.bibliographicCitation.startpage | 107 | |
local.bibliographicCitation.lastpage | 109 | |
local.identifier.doi | 10.1088/0143-0807/26/1/012 | |
local.identifier.absseo | 970108 - Expanding Knowledge in the Information and Computing Sciences | |
dc.date.updated | 2015-12-09T07:32:33Z | |
local.identifier.scopusID | 2-s2.0-12844253790 | |
Collections | ANU Research Publications |
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01_Castelano_Temporal_evolution_of_a_2005.pdf | 2.9 MB | Adobe PDF |
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