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Similarity analysis of differential equations by Lie group.Methods for transforming partial differential equations into forms more suitable for analysis and solution are investigated. The idea of Lie's infinitesimal contact transformation group is introduced to develop a systematic method which involves mostly algebraic manipulations. A thorough presentation of the application of this general method to the problem of similarity analysis in a broader sense - namely, the similarity between partial and ordinary differential equations, boundary value and initial value problems, and nonlinear and linear equations - is given with new and very general methods evolved for deriving the possible groups of transformations.
Document ID
19720040256
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Na, T. Y.
(Michigan, University Dearborn, Mich., United States)
Hansen, A. G.
(Purdue University West Lafayette, Ind., United States)
Date Acquired
August 6, 2013
Publication Date
December 1, 1971
Publication Information
Publication: Franklin Institute
Subject Category
Mathematics
Accession Number
72A23922
Funding Number(s)
CONTRACT_GRANT: NAS8-20065
Distribution Limits
Public
Copyright
Other

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