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Boundary tracing and boundary value problems: II. Applications

Citation

Anderson, ML and Bassom, AP and Fowkes, N, Boundary tracing and boundary value problems: II. Applications, Proceedings of the Royal Society A, 463, (2084) pp. 1925-1938. ISSN 1364-5021 (2007) [Refereed Article]

Copyright Statement

Copyright 2007 The Royal Society

DOI: doi:10.1098/rspa.2007.1859

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.

Item Details

Item Type:Refereed Article
Keywords:boundary tracing, Helmholtz’s equation, Poisson’s equation, constant mean curvature equation
Research Division:Mathematical Sciences
Research Group:Applied Mathematics
Research Field:Theoretical and Applied Mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Bassom, AP (Professor Andrew Bassom)
ID Code:107111
Year Published:2007
Web of Science® Times Cited:2
Deposited By:Mathematics and Physics
Deposited On:2016-03-04
Last Modified:2016-07-06
Downloads:0

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