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Separation of variables for ordinary differential equations
Linköping University, Department of Mathematics.
2006 (English)Independent thesis Basic level (professional degree), 20 points / 30 hpStudent thesis
Abstract [en]

In case of the PDE's the concept of solving by separation of variables

has a well defined meaning. One seeks a solution in a form of a

product or sum and tries to build the general solution out of these

particular solutions. There are also known systems of second order

ODE's describing potential motions and certain rigid bodies that are

considered to be separable. However, in those cases, the concept of

separation of variables is more elusive; no general definition is

given.

In this thesis we study how these systems of equations separate and find that their separation usually can be reduced to sequential separation of single first order ODE´s. However, it appears that other mechanisms of separability are possible.

Place, publisher, year, edition, pages
Matematiska institutionen , 2006. , 41 p.
Keyword [en]
ODE, Separation of variables, Potential motion, Heavy symmetric top, Cofactor systems, Direct separability.
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-5620ISRN: LiTH-MAT-EX--06/01--SEOAI: oai:DiVA.org:liu-5620DiVA: diva2:21406
Uppsok
fysik/kemi/matematik
Supervisors
Examiners
Available from: 2006-03-02 Created: 2006-03-02

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CiteExportLink to record
Permanent link

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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf