Numerical experiments with the Bratu equation in one, two and three dimensions

2013
journal article
article
11
dc.abstract.enThe non-linear Bratu equation is solved numerically in one, two and three dimensions. The numerical results are obtained with help of three different numerical methods namely pseudospectral method, finite difference method and radial basis functions method. All methods give approximately the same results. One-dimensional case is used for testing numerical methods as the analytical solution is known in this case. In two dimensions, the existing results are generalized to larger area of eigenvalues. Three-dimensional case is solved for the first time and this is the most important result of the paper.pl
dc.affiliationWydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiegopl
dc.contributor.authorKarkowski, Janusz - 128673 pl
dc.date.accessioned2015-06-23T09:35:05Z
dc.date.available2015-06-23T09:35:05Z
dc.date.issued2013pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.number2pl
dc.description.physical231-244pl
dc.description.publication1pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume32pl
dc.identifier.doi10.1007/s40314-013-0007-9pl
dc.identifier.eissn1807-0302pl
dc.identifier.issn2238-3603pl
dc.identifier.urihttp://ruj.uj.edu.pl/xmlui/handle/item/10076
dc.languageengpl
dc.language.containerengpl
dc.rightsDodaję tylko opis bibliograficzny*
dc.rights.licenceCC-BY-SA
dc.rights.uri*
dc.share.typeinne
dc.subject.enbifurcation problempl
dc.subject.ennon-linear pdepl
dc.subject.enRBF functionspl
dc.subtypeArticlepl
dc.titleNumerical experiments with the Bratu equation in one, two and three dimensionspl
dc.title.journalComputational and Applied Mathematicspl
dc.typeJournalArticlepl
dspace.entity.typePublication
dc.abstract.enpl
The non-linear Bratu equation is solved numerically in one, two and three dimensions. The numerical results are obtained with help of three different numerical methods namely pseudospectral method, finite difference method and radial basis functions method. All methods give approximately the same results. One-dimensional case is used for testing numerical methods as the analytical solution is known in this case. In two dimensions, the existing results are generalized to larger area of eigenvalues. Three-dimensional case is solved for the first time and this is the most important result of the paper.
dc.affiliationpl
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego
dc.contributor.authorpl
Karkowski, Janusz - 128673
dc.date.accessioned
2015-06-23T09:35:05Z
dc.date.available
2015-06-23T09:35:05Z
dc.date.issuedpl
2013
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.numberpl
2
dc.description.physicalpl
231-244
dc.description.publicationpl
1
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
32
dc.identifier.doipl
10.1007/s40314-013-0007-9
dc.identifier.eissnpl
1807-0302
dc.identifier.issnpl
2238-3603
dc.identifier.uri
http://ruj.uj.edu.pl/xmlui/handle/item/10076
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Dodaję tylko opis bibliograficzny
dc.rights.licence
CC-BY-SA
dc.rights.uri*
dc.share.type
inne
dc.subject.enpl
bifurcation problem
dc.subject.enpl
non-linear pde
dc.subject.enpl
RBF functions
dc.subtypepl
Article
dc.titlepl
Numerical experiments with the Bratu equation in one, two and three dimensions
dc.title.journalpl
Computational and Applied Mathematics
dc.typepl
JournalArticle
dspace.entity.type
Publication

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