A practical algorithm for determining the optimal pseudo-boundary in the method of fundamental solutions
Date
2009ISSN
2070-0733Source
Advances in Applied Mathematics and MechanicsVolume
1Issue
4Pages
510-528Google Scholar check
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One of the main difficulties in the application of the method of funda- mental solutions (MFS) is the determination of the position of the pseudo-boundary on which are placed the singularities in terms of which the approximation is expressed. In this work, we propose a simple practical algorithm for determining an estimate of the pseudo-boundary which yields the most accurate MFS approximation when the method is applied to certain boundary value problems. Several numerical examples are provided. © 2009 Global Science Press.