Sun, Hong Guang; Wang, Zhaoyang; Nie, Jiayi; Zhang, Yong; Xiao, Rui Generalized finite difference method for a class of multidimensional space-fractional diffusion equations. (English) Zbl 07360491 Comput. Mech. 67, No. 1, 17-32 (2021). MSC: 74-XX PDFBibTeX XMLCite \textit{H. G. Sun} et al., Comput. Mech. 67, No. 1, 17--32 (2021; Zbl 07360491) Full Text: DOI
Liang, Yingjie; Chen, Wen; Xu, Wei; Sun, HongGuang Distributed order Hausdorff derivative diffusion model to characterize non-Fickian diffusion in porous media. (English) Zbl 1464.82017 Commun. Nonlinear Sci. Numer. Simul. 70, 384-393 (2019). MSC: 82C70 PDFBibTeX XMLCite \textit{Y. Liang} et al., Commun. Nonlinear Sci. Numer. Simul. 70, 384--393 (2019; Zbl 1464.82017) Full Text: DOI arXiv
Yu, Xiangnan; Zhang, Yong; Sun, HongGuang; Zheng, Chunmiao Time fractional derivative model with Mittag-Leffler function kernel for describing anomalous diffusion: analytical solution in bounded-domain and model comparison. (English) Zbl 1416.35300 Chaos Solitons Fractals 115, 306-312 (2018). MSC: 35R11 35C10 60J60 PDFBibTeX XMLCite \textit{X. Yu} et al., Chaos Solitons Fractals 115, 306--312 (2018; Zbl 1416.35300) Full Text: DOI
Sun, HongGuang; Liu, Xiaoting; Zhang, Yong; Pang, Guofei; Garrard, Rhiannon A fast semi-discrete Kansa method to solve the two-dimensional spatiotemporal fractional diffusion equation. (English) Zbl 1380.65310 J. Comput. Phys. 345, 74-90 (2017). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{H. Sun} et al., J. Comput. Phys. 345, 74--90 (2017; Zbl 1380.65310) Full Text: DOI arXiv
Chen, Wen; Sun, Hongguang; Zhang, Xiaodi; Korošak, Dean Anomalous diffusion modeling by fractal and fractional derivatives. (English) Zbl 1189.35355 Comput. Math. Appl. 59, No. 5, 1754-1758 (2010). MSC: 35R11 26A33 35A08 PDFBibTeX XMLCite \textit{W. Chen} et al., Comput. Math. Appl. 59, No. 5, 1754--1758 (2010; Zbl 1189.35355) Full Text: DOI