روش مستقیم RBF-Chebychev برای حل مسائل تغییراتی

This paper establishes a direct method for solving variational problems via a set of Radial basis functions (RBFs) with Gauss-Chebyshev collocation centers. The method consist of reducing a variational problem into a mathematical programming problem. The authors use some optimization techniques to solve the reduced problem. Accuracy and stability of the multiquadric, Gaussian and inverse multiquadric RBF is examined and compared by some numerical experiments.

Keywords:

Radial basis functions , direct method , variational problems , Gauss-Chebychev centers