Abstract: | One of the main difficulties in the application of the method of
fundamental 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. |