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arXiv · 2505.14232

A Numerical Study of Combining RBF Interpolation and Finite Differences to Approximate Differential Operators

Adrijan Rogan·Andrej Kolar-Požun·Gregor Kosec
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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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Adrijan Rogan, Andrej Kolar-Požun, Gregor Kosec. 2025-05-20. A Numerical Study of Combining RBF Interpolation and Finite Differences to Approximate Differential Operators. https://doi.org/10.1109/mipro65660.2025.11132052

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