A Numerical Study of Combining RBF Interpolation and Finite Differences to Approximate Differential Operators (2505.14232v2)

Published 20 May 2025 in math.NA and cs.NA

Abstract: This paper focuses on RBF-based meshless methods for approximating differential operators, one of the most popular being RBF-FD. Recently, a hybrid approach was introduced that combines RBF interpolation and traditional finite difference stencils. We compare the accuracy of this method and RBF-FD on a two-dimensional Poisson problem for standard five-point and nine-point stencils and different method parameters.

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