Hajiketabi, M.; Abbasbandy, S.; Casas, F. The Lie-group method based on radial basis functions for solving nonlinear high dimensional generalized Benjamin-Bona-Mahony-Burgers equation in arbitrary domains. (English) Zbl 1427.65286 Appl. Math. Comput. 321, 223-243 (2018). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{M. Hajiketabi} et al., Appl. Math. Comput. 321, 223--243 (2018; Zbl 1427.65286) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa A combination of proper orthogonal decomposition-discrete empirical interpolation method (POD-DEIM) and meshless local RBF-DQ approach for prevention of groundwater contamination. (English) Zbl 1409.76095 Comput. Math. Appl. 75, No. 4, 1390-1412 (2018). MSC: 76M22 76M10 65M70 86A05 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Comput. Math. Appl. 75, No. 4, 1390--1412 (2018; Zbl 1409.76095) Full Text: DOI
Zhu, X. G.; Yuan, Z. B.; Liu, F.; Nie, Y. F. Differential quadrature method for space-fractional diffusion equations on 2D irregular domains. (English) Zbl 1516.65113 Numer. Algorithms 79, No. 3, 853-877 (2018). MSC: 65M99 65D12 65D25 65D30 65L12 60G51 35R09 26A33 35R11 PDFBibTeX XMLCite \textit{X. G. Zhu} et al., Numer. Algorithms 79, No. 3, 853--877 (2018; Zbl 1516.65113) Full Text: DOI arXiv
Hajiketabi, Mohammad; Abbasbandy, S. The combination of meshless method based on radial basis functions with a geometric numerical integration method for solving partial differential equations: application to the heat equation. (English) Zbl 1403.65090 Eng. Anal. Bound. Elem. 87, 36-46 (2018). MSC: 65M70 80M22 PDFBibTeX XMLCite \textit{M. Hajiketabi} and \textit{S. Abbasbandy}, Eng. Anal. Bound. Elem. 87, 36--46 (2018; Zbl 1403.65090) Full Text: DOI
Urleb, Marko; Vrankar, Leopold Searching for an optimal shape parameter for solving a partial differential equation with the radial basis functions method. (English) Zbl 1403.65104 Eng. Anal. Bound. Elem. 92, 225-230 (2018). MSC: 65M70 PDFBibTeX XMLCite \textit{M. Urleb} and \textit{L. Vrankar}, Eng. Anal. Bound. Elem. 92, 225--230 (2018; Zbl 1403.65104) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa Solution of multi-dimensional Klein-Gordon-Zakharov and Schrödinger/Gross-Pitaevskii equations via local radial basis functions-differential quadrature (RBF-DQ) technique on non-rectangular computational domains. (English) Zbl 1403.78037 Eng. Anal. Bound. Elem. 92, 156-170 (2018). MSC: 78M30 65M70 35Q53 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Eng. Anal. Bound. Elem. 92, 156--170 (2018; Zbl 1403.78037) Full Text: DOI