Xie, Jianqiang; Yan, Xiao; Ali, Muhammad Aamir; Hammouch, Zakia A linear decoupled physical-property-preserving difference method for fractional-order generalized Zakharov system. (English) Zbl 07698134 J. Comput. Appl. Math. 426, Article ID 115044, 21 p. (2023). MSC: 65-XX 35L70 35R11 65M06 PDFBibTeX XMLCite \textit{J. Xie} et al., J. Comput. Appl. Math. 426, Article ID 115044, 21 p. (2023; Zbl 07698134) Full Text: DOI
Wang, Nan; Li, Meng; Huang, Chengming Unconditional energy dissipation and error estimates of the SAV Fourier spectral method for nonlinear fractional generalized wave equation. (English) Zbl 1480.35349 J. Sci. Comput. 88, No. 1, Paper No. 19, 32 p. (2021). MSC: 35Q53 65M70 65M06 65N35 65M15 65N15 26A33 35R11 PDFBibTeX XMLCite \textit{N. Wang} et al., J. Sci. Comput. 88, No. 1, Paper No. 19, 32 p. (2021; Zbl 1480.35349) Full Text: DOI arXiv
Xie, Jianqiang; Wang, Quanxiang; Zhang, Zhiyue Linear implicit finite difference methods with energy conservation property for space fractional Klein-Gordon-Zakharov system. (English) Zbl 1476.65196 Appl. Numer. Math. 167, 389-419 (2021). MSC: 65M06 65M12 82D10 76X05 26A33 35R11 PDFBibTeX XMLCite \textit{J. Xie} et al., Appl. Numer. Math. 167, 389--419 (2021; Zbl 1476.65196) Full Text: DOI
Hu, Dongdong; Cai, Wenjun; Fu, Yayun; Wang, Yushun Fast dissipation-preserving difference scheme for nonlinear generalized wave equations with the integral fractional Laplacian. (English) Zbl 1471.65102 Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105786, 24 p. (2021). MSC: 65M06 65M12 65T50 65F08 65F10 35L05 35R11 PDFBibTeX XMLCite \textit{D. Hu} et al., Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105786, 24 p. (2021; Zbl 1471.65102) Full Text: DOI
Wang, Nan; Shi, Dongyang Two efficient spectral methods for the nonlinear fractional wave equation in unbounded domain. (English) Zbl 07331085 Math. Comput. Simul. 185, 696-718 (2021). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{N. Wang} and \textit{D. Shi}, Math. Comput. Simul. 185, 696--718 (2021; Zbl 07331085) Full Text: DOI
Xie, Jianqiang; Zhang, Zhiyue Efficient linear energy dissipative difference schemes for the coupled nonlinear damped space fractional wave equations. (English) Zbl 1450.35018 Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105291, 23 p. (2020). MSC: 35A35 35L82 65M06 35R11 65M12 PDFBibTeX XMLCite \textit{J. Xie} and \textit{Z. Zhang}, Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105291, 23 p. (2020; Zbl 1450.35018) Full Text: DOI