Novel exact solutions for PDEs with mixed boundary conditions

Craddock, M; Grasselli, M; Mazzoran, A

Novel exact solutions for PDEs with mixed boundary conditions

Craddock, M Grasselli, M Mazzoran, A

Permalink

Publisher:: Springer Nature
Publication Type:: Journal Article
Citation:: Boundary Value Problems, 2025, 2025, (1), pp. 12
Issue Date:: 2025-12-01

Open Access

Copyright Clearance Process

Recently Added
In Progress
Open Access

This item is open access.

Adobe PDF

Download Published versionAdobe PDF (2 MB)

View on publisher's site

View statistics

Full metadata record

Field	Value	Language
dc.contributor.author	Craddock, M
dc.contributor.author	Grasselli, M
dc.contributor.author	Mazzoran, A
dc.date.accessioned	2025-07-15T05:41:20Z
dc.date.available	2025-07-15T05:41:20Z
dc.date.issued	2025-12-01
dc.identifier.citation	Boundary Value Problems, 2025, 2025, (1), pp. 12
dc.identifier.issn	1687-2762
dc.identifier.issn	1687-2770
dc.identifier.uri	http://hdl.handle.net/10453/188264
dc.description.abstract	We develop methods for the solution of inhomogeneous Robin-type boundary value problems (BVPs) that arise for certain linear parabolic partial differential equations (PDEs) on a half-line, as well as a second-order generalization. We are able to obtain nonstandard solutions to equations arising in a range of areas, including mathematical finance, stochastic analysis, hyperbolic geometry, and mathematical physics. Our approach uses the odd and even Hilbert transforms. The solutions we obtain and the method itself seem to be new.
dc.language	en
dc.publisher	Springer Nature
dc.relation.ispartof	Boundary Value Problems
dc.relation.isbasedon	10.1186/s13661-024-01989-2
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	0101 Pure Mathematics, 0102 Applied Mathematics
dc.subject.classification	Applied Mathematics
dc.subject.classification	4901 Applied mathematics
dc.subject.classification	4904 Pure mathematics
dc.title	Novel exact solutions for PDEs with mixed boundary conditions
dc.type	Journal Article
utslib.citation.volume	2025
utslib.for	0101 Pure Mathematics
utslib.for	0102 Applied Mathematics
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
utslib.copyright.status	open_access	*
dc.rights.license	This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0). To view a copy of this license, visit https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.date.updated	2025-07-15T05:41:18Z
pubs.issue	1
pubs.publication-status	Accepted
pubs.volume	2025
utslib.citation.issue	1

Abstract:

We develop methods for the solution of inhomogeneous Robin-type boundary value problems (BVPs) that arise for certain linear parabolic partial differential equations (PDEs) on a half-line, as well as a second-order generalization. We are able to obtain nonstandard solutions to equations arising in a range of areas, including mathematical finance, stochastic analysis, hyperbolic geometry, and mathematical physics. Our approach uses the odd and even Hilbert transforms. The solutions we obtain and the method itself seem to be new.

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

http://hdl.handle.net/10453/188264