Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Author "Jankowska, Malgorzata A."
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Article
Improved Kansa RBF method for the solution of nonlinear boundary value problems
Jankowska, Malgorzata A.; Karageorghis, Andreas; Chen, C. S. (2018)We apply the Kansa–radial basis function (RBF) collocation method to two-dimensional nonlinear boundary value problems. In it, the solution is approximated by a linear combination of RBFs and the governing equation and ...
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Article
Kansa-RBF algorithms for elliptic problems in regular polygonal domains
Karageorghis, Andreas; Jankowska, Malgorzata A.; Chen, C. S. (2018)We propose matrix decomposition algorithms for the efficient solution of the linear systems arising from Kansa radial basis function discretizations of elliptic boundary value problems in regular polygonal domains. These ...
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Article
Variable shape parameter Kansa RBF method for the solution of nonlinear boundary value problems
Jankowska, Malgorzata A.; Karageorghis, Andreas (2019)We apply a variable shape parameter Kansa–radial basis function (RBF) collocation method for the numerical solution of second and fourth order nonlinear boundary value problems in two dimensions. In the current approach, ...