Yu, Qiang; Liu, Fawang; Turner, Ian; Burrage, Kevin Stability and convergence of an implicit numerical method for the space and time fractional Bloch-Torrey equation. (English) Zbl 1339.65151 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 371, No. 1990, Article ID 20120150, 18 p. (2013). MSC: 65M12 35Q92 65M06 65M15 PDFBibTeX XMLCite \textit{Q. Yu} et al., Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 371, No. 1990, Article ID 20120150, 18 p. (2013; Zbl 1339.65151) Full Text: DOI
Chen, Chang-Ming; Liu, F.; Burrage, K. Numerical analysis for a variable-order nonlinear cable equation. (English) Zbl 1243.65103 J. Comput. Appl. Math. 236, No. 2, 209-224 (2011). Reviewer: Muhammad Akram (Lahore) MSC: 65M06 65M12 35L75 35R11 PDFBibTeX XMLCite \textit{C.-M. Chen} et al., J. Comput. Appl. Math. 236, No. 2, 209--224 (2011; Zbl 1243.65103) Full Text: DOI
Shen, Shujun; Liu, Fawang; Anh, Vo Numerical approximations and solution techniques for the space-time Riesz-Caputo fractional advection-diffusion equation. (English) Zbl 1214.65046 Numer. Algorithms 56, No. 3, 383-403 (2011). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M06 65M12 35K15 35K20 35R11 PDFBibTeX XMLCite \textit{S. Shen} et al., Numer. Algorithms 56, No. 3, 383--403 (2011; Zbl 1214.65046) Full Text: DOI
Chen, Chang-Ming; Liu, F.; Burrage, K. Finite difference methods and a Fourier analysis for the fractional reaction-subdiffusion equation. (English) Zbl 1144.65057 Appl. Math. Comput. 198, No. 2, 754-769 (2008). Reviewer: Ruxandra Stavre (Bucureşti) MSC: 65M06 65M12 35K57 PDFBibTeX XMLCite \textit{C.-M. Chen} et al., Appl. Math. Comput. 198, No. 2, 754--769 (2008; Zbl 1144.65057) Full Text: DOI
Chen, Jinghua; Liu, Fawang Stability and convergence of an implicit difference approximation for the space Riesz fractional reaction-dispersion equation. (English) Zbl 1174.65554 Numer. Math., J. Chin. Univ. 16, No. 3, 253-264 (2007). MSC: 65R20 45K05 26A33 PDFBibTeX XMLCite \textit{J. Chen} and \textit{F. Liu}, Numer. Math., J. Chin. Univ. 16, No. 3, 253--264 (2007; Zbl 1174.65554)
Cai, Xin; Liu, Fawang A high order implicit method for the Riesz space fractional diffusion equation. (Chinese. English summary) Zbl 1164.65526 J. Xiamen Univ., Nat. Sci. 46, No. 3, 317-321 (2007). MSC: 65R20 65M06 65M12 45K05 26A33 35K05 PDFBibTeX XMLCite \textit{X. Cai} and \textit{F. Liu}, J. Xiamen Univ., Nat. Sci. 46, No. 3, 317--321 (2007; Zbl 1164.65526)
Zheng, Dayi; Lu, Xuanzhu; Liu, Fawang Numerical solution of the space fractional differential equation. (English) Zbl 1082.65085 Ann. Differ. Equations 21, No. 3, 518-524 (2005). MSC: 65M06 65M12 35K55 65M20 26A33 PDFBibTeX XMLCite \textit{D. Zheng} et al., Ann. Differ. Equations 21, No. 3, 518--524 (2005; Zbl 1082.65085)
Shen, Shujun; Liu, Fawang Error analysis of an explicit finite difference approximation for the space fractional diffusion equation with insulated ends. (English) Zbl 1078.65563 ANZIAM J. 46C, Proc. 2004, C871-C887 (2005). MSC: 65M15 65M06 65M12 35K55 PDFBibTeX XMLCite \textit{S. Shen} and \textit{F. Liu}, ANZIAM J. 46C, C871--C887 (2005; Zbl 1078.65563)