Huang, Yunqing; Li, Xueyang; Xiao, Aiguo Fourier pseudospectral method on generalized sparse grids for the space-fractional Schrödinger equation. (English) Zbl 1419.65079 Comput. Math. Appl. 75, No. 12, 4241-4255 (2018). MSC: 65M70 35R11 35Q41 PDFBibTeX XMLCite \textit{Y. Huang} et al., Comput. Math. Appl. 75, No. 12, 4241--4255 (2018; Zbl 1419.65079) Full Text: DOI
Yin, Xiucao; Fang, Shaomei; Guo, Changhong Alternating-direction implicit finite difference methods for a new two-dimensional two-sided space-fractional diffusion equation. (English) Zbl 1448.65125 Adv. Difference Equ. 2018, Paper No. 389, 17 p. (2018). MSC: 65M06 35R11 65M12 26A33 82C31 PDFBibTeX XMLCite \textit{X. Yin} et al., Adv. Difference Equ. 2018, Paper No. 389, 17 p. (2018; Zbl 1448.65125) Full Text: DOI
Wu, Shu-Lin; Zhou, Tao Parareal algorithms with local time-integrators for time fractional differential equations. (English) Zbl 1422.65473 J. Comput. Phys. 358, 135-149 (2018). MSC: 65Y05 35R11 34K37 PDFBibTeX XMLCite \textit{S.-L. Wu} and \textit{T. Zhou}, J. Comput. Phys. 358, 135--149 (2018; Zbl 1422.65473) Full Text: DOI
Jiang, Shidong; Zhang, Jiwei; Zhang, Qian; Zhang, Zhimin Fast evaluation of the Caputo fractional derivative and its applications to fractional diffusion equations. (English) Zbl 1488.65247 Commun. Comput. Phys. 21, No. 3, 650-678 (2017). MSC: 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{S. Jiang} et al., Commun. Comput. Phys. 21, No. 3, 650--678 (2017; Zbl 1488.65247) Full Text: DOI arXiv
Yin, Xiucao; Li, Lang; Fang, Shaomei Second-order accurate numerical approximations for the fractional percolation equations. (English) Zbl 1412.65097 J. Nonlinear Sci. Appl. 10, No. 8, 4122-4136 (2017). MSC: 65M06 65M12 PDFBibTeX XMLCite \textit{X. Yin} et al., J. Nonlinear Sci. Appl. 10, No. 8, 4122--4136 (2017; Zbl 1412.65097) Full Text: DOI
Li, Hongwei; Wu, Xiaonan; Zhang, Jiwei Numerical solution of the time-fractional sub-diffusion equation on an unbounded domain in two-dimensional space. (English) Zbl 1383.65093 East Asian J. Appl. Math. 7, No. 3, 439-454 (2017). MSC: 65M06 35K05 35R11 PDFBibTeX XMLCite \textit{H. Li} et al., East Asian J. Appl. Math. 7, No. 3, 439--454 (2017; Zbl 1383.65093) Full Text: DOI
Lyu, Pin; Vong, Seakweng; Wang, Zhibo A finite difference method for boundary value problems of a Caputo fractional differential equation. (English) Zbl 1383.65079 East Asian J. Appl. Math. 7, No. 4, 752-766 (2017). MSC: 65L10 65L12 34A08 65L20 34B15 PDFBibTeX XMLCite \textit{P. Lyu} et al., East Asian J. Appl. Math. 7, No. 4, 752--766 (2017; Zbl 1383.65079) Full Text: DOI