On the Determination of Boundary Collocation Points for Solving Some Problems for the Laplace Operator

摘要

Boundary collocation is discussed. The method is used to obtain an approximate solution of boundary problems for linear partial differential equations for which complete families of particular solutions are explicitly known. The method involves making decisions on factors such as the choice of solution subspace, the choice of a basis for this subspace, and the choice of collocation points. The determination of collocation points is investigated with a model.