Dehghan, Mehdi; Mohammadi, Vahid The numerical solution of Fokker-Planck equation with radial basis functions (RBFs) based on the meshless technique of Kansa’s approach and Galerkin method. (English) Zbl 1297.65120 Eng. Anal. Bound. Elem. 47, 38-63 (2014). MSC: 65M60 65M70 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{V. Mohammadi}, Eng. Anal. Bound. Elem. 47, 38--63 (2014; Zbl 1297.65120) Full Text: DOI
Saadatmandi, Abbas; Dehghan, Mehdi A method based on the tau approach for the identification of a time-dependent coefficient in the heat equation subject to an extra measurement. (English) Zbl 1428.93039 J. Vib. Control 18, No. 8, 1125-1132 (2012). MSC: 93B30 42C10 PDFBibTeX XMLCite \textit{A. Saadatmandi} and \textit{M. Dehghan}, J. Vib. Control 18, No. 8, 1125--1132 (2012; Zbl 1428.93039) Full Text: DOI
Saadatmandi, Abbas; Dehghan, Mehdi A tau approach for solution of the space fractional diffusion equation. (English) Zbl 1228.65203 Comput. Math. Appl. 62, No. 3, 1135-1142 (2011). MSC: 65M99 35R11 PDFBibTeX XMLCite \textit{A. Saadatmandi} and \textit{M. Dehghan}, Comput. Math. Appl. 62, No. 3, 1135--1142 (2011; Zbl 1228.65203) Full Text: DOI
Shakeri, Fatemeh; Dehghan, Mehdi A hybrid Legendre tau method for the solution of a class of nonlinear wave equations with nonlinear dissipative terms. (English) Zbl 1226.65079 Numer. Methods Partial Differ. Equations 27, No. 5, 1055-1071 (2011). MSC: 65M06 35L75 74C05 74S20 74K10 PDFBibTeX XMLCite \textit{F. Shakeri} and \textit{M. Dehghan}, Numer. Methods Partial Differ. Equations 27, No. 5, 1055--1071 (2011; Zbl 1226.65079) Full Text: DOI
Saadatmandi, Abbas; Dehghan, Mehdi Numerical solution of the higher-order linear Fredholm integro-differential-difference equation with variable coefficients. (English) Zbl 1193.65229 Comput. Math. Appl. 59, No. 8, 2996-3004 (2010). MSC: 65R20 45J05 PDFBibTeX XMLCite \textit{A. Saadatmandi} and \textit{M. Dehghan}, Comput. Math. Appl. 59, No. 8, 2996--3004 (2010; Zbl 1193.65229) Full Text: DOI
Saadatmandi, Abbas; Dehghan, Mehdi Computation of two time-dependent coefficients in a parabolic partial differential equation subject to additional specifications. (English) Zbl 1191.65128 Int. J. Comput. Math. 87, No. 5, 997-1008 (2010). MSC: 65M32 35K20 65M70 35R30 PDFBibTeX XMLCite \textit{A. Saadatmandi} and \textit{M. Dehghan}, Int. J. Comput. Math. 87, No. 5, 997--1008 (2010; Zbl 1191.65128) Full Text: DOI
Saadatmandi, Abbas; Dehghan, Mehdi Numerical solution of hyperbolic telegraph equation using the Chebyshev tau method. (English) Zbl 1186.65136 Numer. Methods Partial Differ. Equations 26, No. 1, 239-252 (2010). Reviewer: Nicolae Pop (Baia Mare) MSC: 65M70 35L05 PDFBibTeX XMLCite \textit{A. Saadatmandi} and \textit{M. Dehghan}, Numer. Methods Partial Differ. Equations 26, No. 1, 239--252 (2010; Zbl 1186.65136) Full Text: DOI
Dehghan, Mehdi; Shakeri, Fatemeh The numerical solution of the second Painlevé equation. (English) Zbl 1172.65037 Numer. Methods Partial Differ. Equations 25, No. 5, 1238-1259 (2009). MSC: 65L05 34M55 35Q53 37K10 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{F. Shakeri}, Numer. Methods Partial Differ. Equations 25, No. 5, 1238--1259 (2009; Zbl 1172.65037) Full Text: DOI
Saadatmandi, Abbas; Dehghan, Mehdi Numerical solution of a mathematical model for capillary formation in tumor angiogenesis via the tau method. (English) Zbl 1151.92017 Commun. Numer. Methods Eng. 24, No. 11, 1467-1474 (2008). MSC: 92C50 65C20 35K20 35K15 35Q92 PDFBibTeX XMLCite \textit{A. Saadatmandi} and \textit{M. Dehghan}, Commun. Numer. Methods Eng. 24, No. 11, 1467--1474 (2008; Zbl 1151.92017) Full Text: DOI
Tajvidi, T.; Razzaghi, M.; Dehghan, M. Modified rational Legendre approach to laminar viscous flow over a semi-infinite flat plate. (English) Zbl 1135.76040 Chaos Solitons Fractals 35, No. 1, 59-66 (2008). MSC: 76M25 76D10 PDFBibTeX XMLCite \textit{T. Tajvidi} et al., Chaos Solitons Fractals 35, No. 1, 59--66 (2008; Zbl 1135.76040)
Saadatmandi, Abbas; Dehghan, Mehdi Numerical solution of the one-dimensional wave equation with an integral condition. (English) Zbl 1112.65097 Numer. Methods Partial Differ. Equations 23, No. 2, 282-292 (2007). MSC: 65M70 35L05 PDFBibTeX XMLCite \textit{A. Saadatmandi} and \textit{M. Dehghan}, Numer. Methods Partial Differ. Equations 23, No. 2, 282--292 (2007; Zbl 1112.65097) Full Text: DOI
Dehghan, M.; Saadatmandi, A. A tau method for the one-dimensional parabolic inverse problem subject to temperature overspecification. (English) Zbl 1125.65340 Comput. Math. Appl. 52, No. 6-7, 933-940 (2006). MSC: 65M32 65M70 35R30 35K15 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{A. Saadatmandi}, Comput. Math. Appl. 52, No. 6--7, 933--940 (2006; Zbl 1125.65340) Full Text: DOI
Dehghan, Mehdi A computational study of the one-dimensional parabolic equation subject to nonclassical boundary specifications. (English) Zbl 1084.65099 Numer. Methods Partial Differ. Equations 22, No. 1, 220-257 (2006). MSC: 65M70 35K05 65M20 65M06 65L06 65Y05 65M12 PDFBibTeX XMLCite \textit{M. Dehghan}, Numer. Methods Partial Differ. Equations 22, No. 1, 220--257 (2006; Zbl 1084.65099) Full Text: DOI