Boundary tracing and boundary value problems: II. Applications

M.L. Anderson, Andrew Bassom, Neville Fowkes

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

This 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.
Original languageEnglish
Pages (from-to)1925-1938
JournalProceedings of the Royal Society A-Mathematical Physical and Engineering Sciences
Volume463
Issue number2084
DOIs
Publication statusPublished - 2007

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