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Extension of eigenfunction-expansion solutions of a fokker-planck equation--I. First order system

dc.contributor.authorJohnson, James P.en_US
dc.contributor.authorScott, Richard A.en_US
dc.date.accessioned2006-04-07T17:39:31Z
dc.date.available2006-04-07T17:39:31Z
dc.date.issued1979en_US
dc.identifier.citationJohnson, James P., Scott, Richard A. (1979)."Extension of eigenfunction-expansion solutions of a fokker-planck equation--I. First order system." International Journal of Non-Linear Mechanics 14(5-6): 315-324. <http://hdl.handle.net/2027.42/23712>en_US
dc.identifier.urihttp://www.sciencedirect.com/science/article/B6TJ2-46M756Y-1C/2/33e13078bdd3c4a5c92ef3f5452323deen_US
dc.identifier.urihttps://hdl.handle.net/2027.42/23712
dc.description.abstractThe work is concerned with eigenfunction-expansion solutions to the forward Fokker-Planck equation associated with a specific, non-linear, first-order system subject to white noise excitation. Using a digital computer, a substantial number of new terms in the expansions have been generated. With this new information, inverted Domb-Sykes plots revealed a pattern in the coefficients for certain ranges of values of the parameters. Through this pattern, Dingle's theory of terminants was used to recast the series into a more favorable computational form.en_US
dc.format.extent733006 bytes
dc.format.extent3118 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherElsevieren_US
dc.titleExtension of eigenfunction-expansion solutions of a fokker-planck equation--I. First order systemen_US
dc.typeArticleen_US
dc.rights.robotsIndexNoFollowen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Applied Mechanics and Engineering Science, The University of Michigan, Ann Arbor, Michigan, U.S.A.en_US
dc.contributor.affiliationumDepartment of Applied Mechanics and Engineering Science, The University of Michigan, Ann Arbor, Michigan, U.S.A.en_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/23712/1/0000684.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1016/0020-7462(79)90005-2en_US
dc.identifier.sourceInternational Journal of Non-Linear Mechanicsen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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