Abbaszadeh, Mostafa; Dehghan, Mehdi A class of moving kriging interpolation-based DQ methods to simulate multi-dimensional space Galilei invariant fractional advection-diffusion equation. (English) Zbl 07512665 Numer. Algorithms 90, No. 1, 271-299 (2022). MSC: 65M99 35R11 65M06 65M70 65M12 PDFBibTeX XMLCite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Numer. Algorithms 90, No. 1, 271--299 (2022; Zbl 07512665) 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
Dehghan, Mehdi; Abbaszadeh, Mostafa An upwind local radial basis functions-differential quadrature (RBF-DQ) method with proper orthogonal decomposition (POD) approach for solving compressible Euler equation. (English) Zbl 1403.65109 Eng. Anal. Bound. Elem. 92, 244-256 (2018). MSC: 65M99 35Q31 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Eng. Anal. Bound. Elem. 92, 244--256 (2018; Zbl 1403.65109) 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
Fakhar-Izadi, Farhad; Dehghan, Mehdi Fully spectral collocation method for nonlinear parabolic partial integro-differential equations. (English) Zbl 1377.65169 Appl. Numer. Math. 123, 99-120 (2018). MSC: 65R20 45K05 45G10 PDFBibTeX XMLCite \textit{F. Fakhar-Izadi} and \textit{M. Dehghan}, Appl. Numer. Math. 123, 99--120 (2018; Zbl 1377.65169) Full Text: DOI
Dehghan, Mehdi; Abbaszadeh, Mostafa Analysis of the element free Galerkin (EFG) method for solving fractional cable equation with Dirichlet boundary condition. (English) Zbl 1348.65141 Appl. Numer. Math. 109, 208-234 (2016). MSC: 65M60 35L20 65M12 65M15 65M06 35R11 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Appl. Numer. Math. 109, 208--234 (2016; Zbl 1348.65141) Full Text: DOI
Fakhar-Izadi, Farhad; Dehghan, Mehdi Space-time spectral method for a weakly singular parabolic partial integro-differential equation on irregular domains. (English) Zbl 1367.65147 Comput. Math. Appl. 67, No. 10, 1884-1904 (2014). MSC: 65M70 35K67 35R09 45K05 65M12 PDFBibTeX XMLCite \textit{F. Fakhar-Izadi} and \textit{M. Dehghan}, Comput. Math. Appl. 67, No. 10, 1884--1904 (2014; Zbl 1367.65147) Full Text: DOI
Dehghan, Mehdi; Nikpour, Ahmad Numerical solution of the system of second-order boundary value problems using the local radial basis functions based differential quadrature collocation method. (English) Zbl 1426.65113 Appl. Math. Modelling 37, No. 18-19, 8578-8599 (2013). MSC: 65L60 65L10 34B15 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{A. Nikpour}, Appl. Math. Modelling 37, No. 18--19, 8578--8599 (2013; Zbl 1426.65113) Full Text: DOI
Dehghan, Mehdi; Nikpour, Ahmad The solitary wave solution of coupled Klein-Gordon-Zakharov equations via two different numerical methods. (English) Zbl 1344.82041 Comput. Phys. Commun. 184, No. 9, 2145-2158 (2013). MSC: 82C80 35Q82 65M70 35C08 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{A. Nikpour}, Comput. Phys. Commun. 184, No. 9, 2145--2158 (2013; Zbl 1344.82041) Full Text: DOI
Fakhar-Izadi, Farhad; Dehghan, Mehdi An efficient pseudo-spectral Legendre-Galerkin method for solving a nonlinear partial integro-differential equation arising in population dynamics. (English) Zbl 1279.65143 Math. Methods Appl. Sci. 36, No. 12, 1485-1511 (2013). MSC: 65R20 45K05 45G10 PDFBibTeX XMLCite \textit{F. Fakhar-Izadi} and \textit{M. Dehghan}, Math. Methods Appl. Sci. 36, No. 12, 1485--1511 (2013; Zbl 1279.65143) Full Text: DOI
Fakhar-Izadi, Farhad; Dehghan, Mehdi The spectral methods for parabolic Volterra integro-differential equations. (English) Zbl 1219.65161 J. Comput. Appl. Math. 235, No. 14, 4032-4046 (2011). MSC: 65R20 45K05 PDFBibTeX XMLCite \textit{F. Fakhar-Izadi} and \textit{M. Dehghan}, J. Comput. Appl. Math. 235, No. 14, 4032--4046 (2011; Zbl 1219.65161) Full Text: DOI