Affiliation:
1. School of Mathematics and Statistics, The University of Western AustraliaCrawley, Western Australia 6009, Australia
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.
Subject
General Physics and Astronomy,General Engineering,General Mathematics
Reference7 articles.
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