Similarity transformations for partial differential equations

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dc.contributor.authorPakdemirli M.
dc.contributor.authorYurusoy M.
dc.date.accessioned2024-07-22T08:25:51Z
dc.date.available2024-07-22T08:25:51Z
dc.date.issued1998
dc.description.abstractThe importance of similarity transformations and their applications to partial differential equations is discussed. The theory has been presented in a simple manner so that it would be beneficial at the undergraduate level. Special group transformations useful for producing similarity solutions are investigated. Scaling, translation, and the spiral group of transformations are applied to well-known problems in mathematical physics, such as the boundary layer equations, the wave equation, and the heat conduction equation. Finally, a new transformation including the mentioned transformations as its special cases is also proposed.
dc.identifier.DOI-ID10.1137/S003614459631001X
dc.identifier.issn00361445
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/20639
dc.language.isoEnglish
dc.publisherSociety for Industrial and Applied Mathematics Publications
dc.subjectBoundary layers
dc.subjectFluid mechanics
dc.subjectHeat conduction
dc.subjectMathematical models
dc.subjectPartial differential equations
dc.subjectProblem solving
dc.subjectSimilarity transformations
dc.subjectMathematical transformations
dc.titleSimilarity transformations for partial differential equations
dc.typeArticle

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