Zhang, Fayong; An, Xiaoli A conservative finite difference scheme for nonlinear Schrödinger equation involving quintic terms. (Chinese. English summary) Zbl 1513.65321 Math. Numer. Sin. 44, No. 1, 63-70 (2022). MSC: 65M06 65M12 65M15 35Q55 PDFBibTeX XMLCite \textit{F. Zhang} and \textit{X. An}, Math. Numer. Sin. 44, No. 1, 63--70 (2022; Zbl 1513.65321) Full Text: DOI
Zhang, Fayong; Jiang, Xue A finite difference method for a class of nonlinear Schrödinger equations involving quintic terms. (Chinese. English summary) Zbl 1449.65209 Numer. Math., Nanjing 41, No. 2, 116-125 (2019). MSC: 65M06 65M15 35Q55 PDFBibTeX XMLCite \textit{F. Zhang} and \textit{X. Jiang}, Numer. Math., Nanjing 41, No. 2, 116--125 (2019; Zbl 1449.65209)
Cui, Hongyu; Zhang, Fayong Fully discrete Legendre and Chebyshev spectral methods for advection-diffusion equations. (Chinese. English summary) Zbl 1438.65246 J. Nat. Sci. Heilongjiang Univ. 35, No. 6, 662-670 (2018). MSC: 65M70 65M12 65M06 65M15 41A50 PDFBibTeX XMLCite \textit{H. Cui} and \textit{F. Zhang}, J. Nat. Sci. Heilongjiang Univ. 35, No. 6, 662--670 (2018; Zbl 1438.65246) Full Text: DOI
Zhang, Fayong; Guo, Boling Attractors for fully discrete finite difference scheme of dissipative Zakharov equations. (English) Zbl 1289.65198 Acta Math. Sci., Ser. B, Engl. Ed. 32, No. 6, 2431-2452 (2012). MSC: 65M06 37K10 65M12 35Q40 65M15 37D45 PDFBibTeX XMLCite \textit{F. Zhang} and \textit{B. Guo}, Acta Math. Sci., Ser. B, Engl. Ed. 32, No. 6, 2431--2452 (2012; Zbl 1289.65198) Full Text: DOI
Zhang, Fayong; Han, Bo The finite difference method for dissipative Klein-Gordon-Schrödinger equations in three space dimensions. (English) Zbl 1240.65263 J. Comput. Math. 28, No. 6, 879-900 (2010). MSC: 65M06 35B41 35Q40 65M12 65M15 37C70 PDFBibTeX XMLCite \textit{F. Zhang} and \textit{B. Han}, J. Comput. Math. 28, No. 6, 879--900 (2010; Zbl 1240.65263) Full Text: DOI
Duan, Xiaomin; Zhang, Fayong Long-time behavior of finite difference solutions of generalized Kuramoto-Sivashinsky equations in autonomous systems. (Chinese. English summary) Zbl 1199.65270 J. Nat. Sci. Heilongjiang Univ. 25, No. 5, 661-666 (2008). MSC: 65M06 37L30 37K10 35Q53 65M12 65M15 PDFBibTeX XMLCite \textit{X. Duan} and \textit{F. Zhang}, J. Nat. Sci. Heilongjiang Univ. 25, No. 5, 661--666 (2008; Zbl 1199.65270)
Zhang, Fayong; Lu, Wanjin Chebyshev pseudospectral approximation in time for parabolic partial differential equations. (English) Zbl 1103.65108 J. Nat. Sci. Heilongjiang Univ. 22, No. 5, 646-654, 658 (2005). Reviewer: Kai Schneider (Marseille) MSC: 65M70 35K05 65M15 PDFBibTeX XMLCite \textit{F. Zhang} and \textit{W. Lu}, J. Nat. Sci. Heilongjiang Univ. 22, No. 5, 646--654, 658 (2005; Zbl 1103.65108)
Zhang, Fayong Spectral approximations of attractors of generalized KdV-Burgers equations. (Chinese. English summary) Zbl 0944.65128 Numer. Math., Nanjing 21, No. 1, 32-47 (1999). Reviewer: Fuhua Ling (Cumming) MSC: 65P10 37L30 35Q53 37K10 37K15 37M15 65M70 65M12 65M15 PDFBibTeX XMLCite \textit{F. Zhang}, Numer. Math., Nanjing 21, No. 1, 32--47 (1999; Zbl 0944.65128)
Lü, Shujuan; Zhang, Fayong The spectral method for long time behavior of generalized KdV-Burgers equations. (Chinese. English summary) Zbl 0946.65092 Math. Numer. Sin. 21, No. 2, 129-138 (1999). Reviewer: S.Jiang (Beijing) MSC: 65M70 65M12 65M15 35Q53 37L30 PDFBibTeX XMLCite \textit{S. Lü} and \textit{F. Zhang}, Math. Numer. Sin. 21, No. 2, 129--138 (1999; Zbl 0946.65092)
Zhang, Fayong Spectral and pseudospectral approximations in time for parabolic equations. (English) Zbl 0898.65057 J. Comput. Math. 16, No. 2, 107-120 (1998). Reviewer: W.Heinrichs (Essen) MSC: 65M70 35K15 65M15 PDFBibTeX XMLCite \textit{F. Zhang}, J. Comput. Math. 16, No. 2, 107--120 (1998; Zbl 0898.65057)
Zhang, Fayong; Xiang, Xinmin The global error estimate of the pseudospectral method for a class of generalized Zakharov equations. II. (Chinese. English summary) Zbl 1076.65532 Heilongjiangdaxue Ziran Kexue Xuebao 14, No. 3, 1-7 (1997). MSC: 65M70 65M15 PDFBibTeX XMLCite \textit{F. Zhang} and \textit{X. Xiang}, J. Nat. Sci. Heilongjiang Univ. 14, No. 3, 1--7 (1997; Zbl 1076.65532)
Zhang, Fayong Spectral approximation fo the large-time problem of generalized Burgers equations in two dimensions. (Chinese. English summary) Zbl 0884.65100 Math. Numer. Sin. 19, No. 2, 114-122 (1997). Reviewer: S.Jiang (Beijing) MSC: 65M70 65M15 35Q53 PDFBibTeX XMLCite \textit{F. Zhang}, Math. Numer. Sin. 19, No. 2, 114--122 (1997; Zbl 0884.65100)
Zhang, Fayong; Xiang, Xinmin The global error estimate of the pseudospectral method for a class of generalized Zakharov equations. I. (Chinese. English summary) Zbl 1076.65531 Heilongjiangdaxue Ziran Kexue Xuebao 13, No. 2, 1-6 (1996). MSC: 65M70 65M15 PDFBibTeX XMLCite \textit{F. Zhang} and \textit{X. Xiang}, J. Nat. Sci. Heilongjiang Univ. 13, No. 2, 1--6 (1996; Zbl 1076.65531)
Zhang, Fayong The pseudospectral method for a system of equations coupling of complex Schrödinger and the real Boussinesq fields. (Chinese. English summary) Zbl 0831.65107 J. Nat. Sci. Heilongjiang Univ. 11, No. 3, 5-13 (1994). MSC: 65M70 65M15 35Q55 PDFBibTeX XMLCite \textit{F. Zhang}, J. Nat. Sci. Heilongjiang Univ. 11, No. 3, 5--13 (1994; Zbl 0831.65107)
Zhang, Fayong; Yang, Shufeng Chebyshev pseudospectral approximation of a class of higher dimensional general Burgers equations. (Chinese. English summary) Zbl 0758.65079 J. Nat. Sci. Heilongjiang Univ. 9, No. 1, 20-25 (1992). MSC: 65Z05 65M70 65M15 35Q53 65M60 PDFBibTeX XMLCite \textit{F. Zhang} and \textit{S. Yang}, J. Nat. Sci. Heilongjiang Univ. 9, No. 1, 20--25 (1992; Zbl 0758.65079)
Xiang, Xinmin; Zhang, Fayong Chebyshev pseudospectral method for higher dimensional generalized BBM equations. (English. Chinese original) Zbl 0850.65187 Chin. J. Numer. Math. Appl. 14, No. 3, 1-12 (1992); translation from Math. Numer. Sin. 13, No. 4, 403-411 (1991). MSC: 65M70 35K55 35Q53 65M15 PDFBibTeX XMLCite \textit{X. Xiang} and \textit{F. Zhang}, Chin. J. Numer. Math. Appl. 14, No. 3, 403--411 (1991; Zbl 0850.65187); translation from Math. Numer. Sin. 13, No. 4, 403--411 (1991)
Zhang, Fayong; Xiang, Xinmin Legendre and Chebyshev pseudospectral method for BBM equation. (English) Zbl 0755.65100 Northeast. Math. J. 7, No. 4, 382-392 (1991). Reviewer: G.Hedstrom (Livermore) MSC: 65M70 65M12 65M15 35K55 35K30 PDFBibTeX XMLCite \textit{F. Zhang} and \textit{X. Xiang}, Northeast. Math. J. 7, No. 4, 382--392 (1991; Zbl 0755.65100)
Zhang, Fayong Fourier pseudospectral method for a class of systems of nonselfadjoint and nonlinear Schrödinger equations. (Chinese. English summary) Zbl 0744.65100 J. Nat. Sci. Heilongjiang Univ. 8, No. 1, 35-40 (1991). Reviewer: Hou Zongyi (Shanghai) MSC: 65Z05 65M70 65M15 35Q55 PDFBibTeX XMLCite \textit{F. Zhang}, J. Nat. Sci. Heilongjiang Univ. 8, No. 1, 35--40 (1991; Zbl 0744.65100)
Zhang, Fayong; Xiang, Xinmin Pseudospectral method for a class of systems of LS wave interactions. (Chinese. English summary) Zbl 0739.65087 Numer. Math., Nanjing 12, No. 3, 199-214 (1990). Reviewer: T.Tang (Burnaby) MSC: 65M70 65M15 35L15 PDFBibTeX XMLCite \textit{F. Zhang} and \textit{X. Xiang}, Numer. Math., Nanjing 12, No. 3, 199--214 (1990; Zbl 0739.65087)