Xue, Xuemin; Xiong, Xiangtuan; Zhang, Yuanxiang Two fractional regularization methods for identifying the radiogenic source of the helium production-diffusion equation. (English) Zbl 1525.65090 AIMS Math. 6, No. 10, 11425-11448 (2021). MSC: 65M32 35K05 35R30 65J10 PDFBibTeX XMLCite \textit{X. Xue} et al., AIMS Math. 6, No. 10, 11425--11448 (2021; Zbl 1525.65090) Full Text: DOI
Xiong, Xiangtuan; Xue, Xuemin; Li, Zhenping On a weighted time-fractional asymptotical regularization method. (English) Zbl 1524.65215 J. Comput. Appl. Math. 394, Article ID 113579, 13 p. (2021). MSC: 65J20 65J10 47A52 35R30 65M32 PDFBibTeX XMLCite \textit{X. Xiong} et al., J. Comput. Appl. Math. 394, Article ID 113579, 13 p. (2021; Zbl 1524.65215) Full Text: DOI
Xiong, Xiangtuan; Xue, Xuemin Fractional Tikhonov method for an inverse time-fractional diffusion problem in 2-dimensional space. (English) Zbl 1431.65160 Bull. Malays. Math. Sci. Soc. (2) 43, No. 1, 25-38 (2020). MSC: 65M32 65M30 35R11 35R30 PDFBibTeX XMLCite \textit{X. Xiong} and \textit{X. Xue}, Bull. Malays. Math. Sci. Soc. (2) 43, No. 1, 25--38 (2020; Zbl 1431.65160) Full Text: DOI
Han, Yaozong; Xiong, Xiangtuan; Xue, Xuemin A fractional Landweber method for solving backward time-fractional diffusion problem. (English) Zbl 1442.65224 Comput. Math. Appl. 78, No. 1, 81-91 (2019). MSC: 65M30 65M12 35R11 PDFBibTeX XMLCite \textit{Y. Han} et al., Comput. Math. Appl. 78, No. 1, 81--91 (2019; Zbl 1442.65224) Full Text: DOI
Xiong, Xiangtuan; Zhuang, E.; Xue, Xuemin; Qian, Zhi A regularization framework for mildly ill-posed problems connected with pseudo-differential operator. (English) Zbl 1440.65281 J. Comput. Appl. Math. 341, 1-11 (2018). Reviewer: Dinh Nho Hào (Hanoi) MSC: 65R30 65D25 35R30 53C35 65M32 PDFBibTeX XMLCite \textit{X. Xiong} et al., J. Comput. Appl. Math. 341, 1--11 (2018; Zbl 1440.65281) Full Text: DOI
Xiong, Xiangtuan; Xue, Xuemin; Qian, Zhi A modified iterative regularization method for ill-posed problems. (English) Zbl 1375.65077 Appl. Numer. Math. 122, 108-128 (2017). MSC: 65J20 65J10 47A52 65D18 94A08 PDFBibTeX XMLCite \textit{X. Xiong} et al., Appl. Numer. Math. 122, 108--128 (2017; Zbl 1375.65077) Full Text: DOI