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Finite Differences Method for the First Order 2-D Partial Equation

dc.contributor.authorRasulov, Mahir
dc.contributor.authorSahin, E. Ilhan
dc.contributor.authorSoguksu, M. Gokhan
dc.date.accessioned2026-06-27T13:31:13Z
dc.date.issued2013
dc.description.abstractIn this study a new method for finding exact solution of the Cauchy problem subject to a discontinuous initial profile for the two dimensional scalar conservation laws is suggested. For this aim, first, some properties of the weak solution of the linearized equation are investigated. Taking these properties into consideration an auxiliary problem having some advantages over the main problem is introduced. The proposed auxiliary problems also permit us to develop effective different numerical algorithms for finding the solutions. Some computer experiments are carried out.en
dc.identifier.endpage462
dc.identifier.isbn978-3-642-41515-9; 978-3-642-41514-2
dc.identifier.issn0302-9743
dc.identifier.startpage454
dc.identifier.urihttps://hdl.handle.net/20.500.14981/53486
dc.identifier.volume8236
dc.identifier.wos000343087100051
dc.language.isoeng
dc.publisherSPRINGER-VERLAG BERLIN
dc.relation.conference5th International Conference Numerical Analysis and Applications (NAA)
dc.relation.ispartofNUMERICAL ANALYSIS AND ITS APPLICATIONS, NAA 2012
dc.subjectCONSERVATION-LAWS
dc.subjectComputer Science
dc.subjectMathematics
dc.titleFinite Differences Method for the First Order 2-D Partial Equation
dc.typeProceedings Paper
dspace.entity.typePublication
local.import.sourceWOS

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