@Article{AAMM-1-4, author = {Karageorghis, A.}, title = {A Practical Algorithm for Determining the Optimal Pseudo-Boundary in the Method of Fundamental Solutions}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2009}, volume = {1}, number = {4}, pages = {510--528}, 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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.09-m0916}, url = {https://global-sci.com/article/73700/a-practical-algorithm-for-determining-the-optimal-pseudo-boundary-in-the-method-of-fundamental-solutions} }