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.
Golbabai, A. , & saeedi, A. (2019). RBF-Chebychev direct method for solving variational problems. Caspian Journal of Mathematical Sciences, 8(1), 1-9. doi: 10.22080/cjms.2018.1901
MLA
Ahmad Golbabai; Ahmad saeedi. "RBF-Chebychev direct method for solving variational problems", Caspian Journal of Mathematical Sciences, 8, 1, 2019, 1-9. doi: 10.22080/cjms.2018.1901
HARVARD
Golbabai, A., saeedi, A. (2019). 'RBF-Chebychev direct method for solving variational problems', Caspian Journal of Mathematical Sciences, 8(1), pp. 1-9. doi: 10.22080/cjms.2018.1901
CHICAGO
A. Golbabai and A. saeedi, "RBF-Chebychev direct method for solving variational problems," Caspian Journal of Mathematical Sciences, 8 1 (2019): 1-9, doi: 10.22080/cjms.2018.1901
VANCOUVER
Golbabai, A., saeedi, A. RBF-Chebychev direct method for solving variational problems. Caspian Journal of Mathematical Sciences, 2019; 8(1): 1-9. doi: 10.22080/cjms.2018.1901
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