On the numerical solution of di erentialequations with radial basis functionsGregory
نویسنده
چکیده
In this paper we report on two diierent experiments dealing with the numerical solution of diierential equations by radial basis functions: 1) the solution of a two-point boundary value problem; 2) the solution of a two-dimensional Poisson equation. In the second experiment we contrast a mul-tilevel collocation algorithm based on locally supported basis functions with two diierent direct solution approaches (one based on locally supported basis functions, the other on globally supported multiquadrics). In both experiments the eeects of a smoothing operation are studied.
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