Symmetry group methods for fundamental solutions

Craddock, M; Platen, E

Symmetry group methods for fundamental solutions

Craddock, M Platen, E

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Publication Type:: Journal Article
Citation:: Journal of Differential Equations, 2004, 207 (2), pp. 285 - 302
Issue Date:: 2004-12-15

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Field	Value	Language
dc.contributor.author	Craddock, M	en_US
dc.contributor.author	Platen, E https://orcid.org/0000-0003-4595-3123	en_US
dc.date.issued	2004-12-15	en_US
dc.identifier.citation	Journal of Differential Equations, 2004, 207 (2), pp. 285 - 302	en_US
dc.identifier.issn	0022-0396	en_US
dc.identifier.uri	http://hdl.handle.net/10453/3413
dc.description.abstract	This paper uses Lie symmetry group methods to study PDEs of the form ut = xuxx + f (x)ux. We show that when the drift function f is a solution of a family of Ricatti equations, then symmetry techniques can be used to find a fundamental solution. © 2004 Elsevier Inc. All rights reserved.	en_US
dc.relation	http://purl.org/au-research/grants/arc/DP0343913
dc.relation.ispartof	Journal of Differential Equations	en_US
dc.relation.isbasedon	10.1016/j.jde.2004.07.026	en_US
dc.subject.classification	General Mathematics	en_US
dc.title	Symmetry group methods for fundamental solutions	en_US
dc.type	Journal Article
utslib.citation.volume	2	en_US
utslib.citation.volume	207	en_US
utslib.for	010205 Financial Mathematics	en_US
utslib.for	0101 Pure Mathematics	en_US
utslib.for	0102 Applied Mathematics	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Science
pubs.organisational-group	/University of Technology Sydney/Faculty of Science/School of Mathematical and Physical Sciences
pubs.organisational-group	/University of Technology Sydney/Strength - QFRC - Quantitative Finance Research Centre
utslib.copyright.status	open_access
pubs.issue	2	en_US
pubs.publication-status	Published	en_US
pubs.volume	207	en_US

Abstract:

This paper uses Lie symmetry group methods to study PDEs of the form ut = xuxx + f (x)ux. We show that when the drift function f is a solution of a family of Ricatti equations, then symmetry techniques can be used to find a fundamental solution. © 2004 Elsevier Inc. All rights reserved.

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10453/3413