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The method of fundamental solutions adapted for a non homogeneous equation

Alves, Carlos J. S.; Chen, C. S.

Proceedings of the International Conference in Engineering & Science 2001 (S. Atluri,T. Nishioka, M. Kikuchi, editors), Tech Science Press (2001), (CD-Rom)

We will present the basis of a method of fundamental solutions (MFS) adapted for the non homogeneous Laplace equation. Using the approximation of the second member by fundamental solutions of the eigenvalue equation, a meshless method approaching the solution of the non homogeneous partial differential equation can be derived. Some numerical experiments showing the approximation of a function by these point sources are presented.