<div class="csl-bib-body">
<div class="csl-entry">Feichtinger, A. (2014). <i>Numerical treatment of models from applications using bvpsuite</i> [Diploma Thesis, Technische Universität Wien]. reposiTUm. https://doi.org/10.34726/hss.2014.21225</div>
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dc.identifier.uri
https://doi.org/10.34726/hss.2014.21225
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/8422
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dc.description
Abweichender Titel laut Übersetzung der Verfasserin/des Verfassers
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dc.description.abstract
In this work we deal with the method of polynomial collocation and use it to solve boundary value problems in ordinary differential equations. Collocation was implemented in the open domain Matlab code bvpsuite which has been developed at the Institute for Analysis and Scientific Computing, Vienna University of Technology. This implementation includes an error estimate and an adaptive mesh selection which enhances the efficiency of the code will be described in detail later. In this master thesis we present two classes of applications simulated using bvpsuite. The first application is a project in cooperation with the Department of Mathematics of the Palacky University in Olomouc, Czech Republic. It is concerned with the existence of solutions of nonlinear singular second order ordinary differential equation of the form u -- (t) =a/t - u - (t) + -f(t,u(t),u - (t)), t - (0,T), subject to periodic boundary conditions u(0) = u(T), u - (0) = u - (T). We illustrate this theory by means of numerical simulations. The second application is a simulation of a model for gas permeation, in cooperation with the Institute for Chemical Engineering of the Vienna University of Technology. It shows how using bvpsuite allows to handle difficult models which cannot be treated effectively using standard techniques.
en
dc.language
English
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dc.language.iso
en
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dc.rights.uri
http://rightsstatements.org/vocab/InC/1.0/
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dc.subject
Mathematics
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dc.subject
Ordinary differential equation
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dc.subject
natural science
en
dc.subject
master thesis
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dc.subject
gas permeation
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dc.title
Numerical treatment of models from applications using bvpsuite
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dc.title.alternative
Numerische Behandlung von Anwendungen mit bvpsuite
de
dc.type
Thesis
en
dc.type
Hochschulschrift
de
dc.rights.license
In Copyright
en
dc.rights.license
Urheberrechtsschutz
de
dc.identifier.doi
10.34726/hss.2014.21225
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dc.contributor.affiliation
TU Wien, Österreich
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dc.rights.holder
Anna Feichtinger
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tuw.version
vor
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tuw.thesisinformation
Technische Universität Wien
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tuw.publication.orgunit
E101 - Institut für Analysis und Scientific Computing
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dc.type.qualificationlevel
Diploma
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dc.identifier.libraryid
AC12072840
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dc.description.numberOfPages
56
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dc.identifier.urn
urn:nbn:at:at-ubtuw:1-61927
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dc.thesistype
Diplomarbeit
de
dc.thesistype
Diploma Thesis
en
dc.rights.identifier
In Copyright
en
dc.rights.identifier
Urheberrechtsschutz
de
tuw.advisor.staffStatus
staff
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item.fulltext
with Fulltext
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item.grantfulltext
open
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item.cerifentitytype
Publications
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item.cerifentitytype
Publications
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item.languageiso639-1
en
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item.openairecristype
http://purl.org/coar/resource_type/c_18cf
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item.openairecristype
http://purl.org/coar/resource_type/c_18cf
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item.openairetype
Thesis
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item.openairetype
Hochschulschrift
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item.openaccessfulltext
Open Access
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crisitem.author.dept
E101 - Institut für Analysis und Scientific Computing