Zheng, Guang-Hui Solving the backward problem in Riesz-Feller fractional diffusion by a new nonlocal regularization method. (English) Zbl 1404.65147 Appl. Numer. Math. 135, 99-128 (2019). MSC: 65M32 35R11 35R60 65T50 49N60 65N20 42A38 PDFBibTeX XMLCite \textit{G.-H. Zheng}, Appl. Numer. Math. 135, 99--128 (2019; Zbl 1404.65147) Full Text: DOI
Zheng, Guang-Hui; Zhang, Quan-Guo Determining the initial distribution in space-fractional diffusion by a negative exponential regularization method. (English) Zbl 1369.65137 Inverse Probl. Sci. Eng. 25, No. 7, 965-977 (2017). MSC: 65N21 65N20 35R11 PDFBibTeX XMLCite \textit{G.-H. Zheng} and \textit{Q.-G. Zhang}, Inverse Probl. Sci. Eng. 25, No. 7, 965--977 (2017; Zbl 1369.65137) Full Text: DOI
Zheng, Guang-Hui; Zhang, Quan-Guo Recovering the initial distribution for space-fractional diffusion equation by a logarithmic regularization method. (English) Zbl 1347.65152 Appl. Math. Lett. 61, 143-148 (2016). MSC: 65M32 35K05 35R30 65M12 35R11 PDFBibTeX XMLCite \textit{G.-H. Zheng} and \textit{Q.-G. Zhang}, Appl. Math. Lett. 61, 143--148 (2016; Zbl 1347.65152) Full Text: DOI
Zheng, Guang-Hui Recover the solute concentration from source measurement and boundary data. (English) Zbl 1326.65127 Inverse Probl. Sci. Eng. 23, No. 7, 1199-1221 (2015). MSC: 65M32 65M30 35R11 PDFBibTeX XMLCite \textit{G.-H. Zheng}, Inverse Probl. Sci. Eng. 23, No. 7, 1199--1221 (2015; Zbl 1326.65127) Full Text: DOI
Shi, Cong; Wang, Chen; Zheng, Guanghui; Wei, Ting A new a posteriori parameter choice strategy for the convolution regularization of the space-fractional backward diffusion problem. (English) Zbl 1310.65113 J. Comput. Appl. Math. 279, 233-248 (2015). MSC: 65M30 35K05 35R11 PDFBibTeX XMLCite \textit{C. Shi} et al., J. Comput. Appl. Math. 279, 233--248 (2015; Zbl 1310.65113) Full Text: DOI
Zheng, G. H.; Wei, T. A new regularization method for a Cauchy problem of the time fractional diffusion equation. (English) Zbl 1245.35145 Adv. Comput. Math. 36, No. 2, 377-398 (2012). Reviewer: S. L. Kalla (Ellisville) MSC: 35R11 35R25 35R30 65J20 PDFBibTeX XMLCite \textit{G. H. Zheng} and \textit{T. Wei}, Adv. Comput. Math. 36, No. 2, 377--398 (2012; Zbl 1245.35145) Full Text: DOI
Zheng, G. H.; Wei, T. Spectral regularization method for solving a time-fractional inverse diffusion problem. (English) Zbl 1228.65187 Appl. Math. Comput. 218, No. 2, 396-405 (2011). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65M32 65M70 65M30 35R11 35R25 35R30 35K20 PDFBibTeX XMLCite \textit{G. H. Zheng} and \textit{T. Wei}, Appl. Math. Comput. 218, No. 2, 396--405 (2011; Zbl 1228.65187) Full Text: DOI
Zheng, G. H.; Wei, T. A new regularization method for solving a time-fractional inverse diffusion problem. (English) Zbl 1211.35281 J. Math. Anal. Appl. 378, No. 2, 418-431 (2011). MSC: 35R30 35R11 80A23 65M32 26A33 35A22 65T50 PDFBibTeX XMLCite \textit{G. H. Zheng} and \textit{T. Wei}, J. Math. Anal. Appl. 378, No. 2, 418--431 (2011; Zbl 1211.35281) Full Text: DOI