Conservative finite volume schemes for multidimensional fragmentation problems

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dc.contributor.authorSaha, Jitraj
dc.contributor.authorBück, Andreas
dc.date.accessioned2026-10-05T09:01:13Z
dc.date.available2026-10-05T09:01:13Z
dc.date.issued2021-03-17
dc.description.abstractIn this article, a new numerical scheme for the solution of the multidimensional fragmentation problem is presented. It is the first that uses the conservative form of the multidimensional problem. The idea to apply the finite volume scheme for solving one-dimensional linear fragmentation problems is extended over a generalized multidimensional setup. The derivation is given in detail for two-dimensional and three-dimensional problems; an outline for the extension to higher dimensions is also presented. Additionally, the existing one-dimensional finite volume scheme for solving conservative one-dimensional multi-fragmentation equation is extended to solve multidimensional problems. The accuracy and efficiency of both proposed schemes is analyzed for several test problems
dc.identifier.issn22277390
dc.identifier.urihttps://doi.org/10.3390/math9060635
dc.identifier.urihttp://nitt.ndl.gov.in/handle/123456789/302
dc.language.isoen
dc.publisherMDPI AG
dc.relation.ispartofseriesMathematics; Vol. 9/ No. 6/ Art. 635
dc.titleConservative finite volume schemes for multidimensional fragmentation problems
dc.typeArticle
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