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Boundary tracing and boundary value problems: II. Applications
journal contribution
posted on 2023-05-18, 17:34 authored by Anderson, ML, Andrew BassomAndrew Bassom, Fowkes, NThis is the second of a pair of papers describing the use of boundary tracing for boundary value problems. In the preceding article, the theory of the technique was explained and it was shown how it enables one to use known exact solutions of partial differential equations to generate new solutions. Here, we illustrate the use of the technique by applying it to three equations of practical significance: Helmholtz’s equation, Poisson’s equation and the nonlinear constant mean curvature equation. A variety of new solutions are obtained and the potential of the technique for further application outlined.
History
Publication title
Proceedings of the Royal Society AVolume
463Issue
2084Pagination
1925-1938ISSN
1364-5021Department/School
School of Natural SciencesPublisher
Royal Soc LondonPlace of publication
6 Carlton House Terrace, London, England, Sw1Y 5AgRights statement
Copyright 2007 The Royal SocietyRepository Status
- Restricted