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Abstract
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In this article, we introduce a new variable shape parameter is called symmetric
variable shape parameter (SVSP) for Gaussian radial basis functions (GRBFs). The GRBF
has the shape parameter c, which plays an important role in the accuracy of the approximation.
In this work, we will use it to interpolate functions and solve linear boundary value problems
(LBVP). Some numerical experiments are presented to show accuracy and robustness of the
GRBF with SVSP strategy. These results have the best accuracy for the one- and twodimensional
interpolations and LBVP. Besides, the numerical results show that the SVSP for
GRBF often outperforms constant shape parameter strategy.
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