The method of fundamental solutions (MFS) is a highly accurate numerical method for
solving homogeneous solutions subject to a properly selection of the sources location. In …

The satisfactory location for the sources outside the closure of the domain of the problem
under consideration remains one of the major issues in the application of the method of …

Despite all the efforts and success for finding the optimal location of the sources outside the
domain for the method of fundamental solutions (MFS), this issue continues to attract the …

The accuracy of the method of fundamental solutions (MFS) is strongly dependent on the
distribution of source points. A proper choice of source points is still an important issue in the …

In the applications of the method of fundamental solutions, locations of sources are treated
either as variables or a priori known constants. In which, the former results in a nonlinear …

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 …

This paper demonstrates that the placement of sources in the MFS can be chosen arbitrary.
Unlike the popular belief, which recommends placing them in a zone within a certain limit …

Proper positioning of collocation and source points is one of the major issues in the
development of the method of fundamental solutions (MFS). In this paper, two constraints for …

For the method of fundamental solutions (MFS), a trial solution is expressed as a linear
combination of fundamental solutions. However, the accuracy of MFS is heavily dependent …

In this work, the use of the Method of Fundamental Solutions (MFS) for solving elliptic partial
differential equations is investigated, and the performance of various least squares routines …