2021年
Bu, W., Zhao, Y., & Shen, C. (2021). Fast and efficient finite difference/finite element method for the two-dimensional multi-term time-space fractional Bloch-Torrey equation. Applied Mathematics and Computation, 398, 125985.
Yue, X., Liu, M., Shu, S., Bu, W., & Xu, Y. (2021). Space‐time finite element adaptive AMG for multi‐term time fractional advection diffusion equations. Mathematical Methods in the Applied Sciences, 44, 2769–2789.
Wang, J., Xiao, A., & Bu, W. (2021). Spectral collocation method for a class of fractional diffusion differential equations with nonsmooth solutions. Mathematical Methods in the Applied Sciences. 44, 2892-2913.
2020年
Yue Zhao, Chen Shen, Min Qu, Weiping Bu and Yifa Tang, Finite element methods for fractional diffusion equations, International Journal of Modeling, Simulation, and Scientific Computing, VOL. 11, NO. 04, (2020) 2030001.
Cao, J., Xiao, A., & Bu, W. (2020). Finite Difference/Finite Element Method for Tempered Time Fractional Advection–Dispersion Equation with Fast Evaluation of Caputo Derivative. Journal of Scientific Computing, 83, 48.
Bu, W., Ji, L., Tang, Y., & Zhou, J. (2020). Space-time finite element method for the distributed-order time fractional reaction diffusion equations. Applied Numerical Mathematics, 152, 446-465.
Zeng, W., Xiao, A., Bu, W., Wang, J., & Li, S. (2020). A Space-Time Petrov-Galerkin Spectral Method for Time Fractional Fokker-Planck Equation with Nonsmooth Solution. EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 10(1), 89-105.
Zhang, Y., Cao, J., Bu, W., & Xiao, A. (2020). A fast finite difference/finite element method for the two-dimensional distributed-order time-space fractional reaction–diffusion equation. International Journal of Modeling, Simulation, and Scientific Computing, 2050016.
彭捷, 代新杰, 肖爱国, 卜玮平.(2020). 中立型随机延迟微分方程分裂步θ方法的强收敛性. 计算数学. 42 (1): 18-38
2019年
Dai, X., Bu, W., & Xiao, A. (2019). Well-posedness and EM approximations for non-Lipschitz stochastic fractional integro-differential equations. Journal of Computational and Applied Mathematics, 356, 377-390.
Bu, W., & Xiao, A. (2019). An h-p version of the continuous Petrov-Galerkin finite element method for Riemann-Liouville fractional differential equation with novel test basis functions. Numerical Algorithms, 81(2), 529-545.
Bu, W., Shu, S., Yue, X., Xiao, A., & Zeng, W. (2019). Space–time finite element method for the multi-term time–space fractional diffusion equation on a two-dimensional domain. Computers & Mathematics with Applications, 78(5), 1367-1379.
Yue, X., Shu, S., Xu, X., Bu, W., & Pan, K. (2019). Parallel-in-time multigrid for space–time finite element approximations of two-dimensional space-fractional diffusion equations. Computers & Mathematics with Applications, 78(11), 3471-3484.
卜玮平. (2019). 非结构网格下 2D Riesz 分数阶方程的 Galerkin 有限元方法. 纯粹数学与应用数学, (2019 年 02), 169-181.
2018年
Yue, X., Bu, W., Shu, S., Liu, M., & Wang, S. (2018). Fully finite element adaptive AMG method for time-space Caputo-Riesz fractional diffusion equations. Adv. Appl. Math. Mech, 10(5), 1103-1125.
2017年
Zhao, Y., Chen, P., Bu, W., Liu, X., & Tang, Y. (2017). Two mixed finite element methods for time-fractional diffusion equations. Journal of Scientific Computing, 70(1), 407-428.
Bu, W., Xiao, A., & Zeng, W. (2017). Finite difference/finite element methods for distributed-order time fractional diffusion equations. Journal of Scientific Computing, 72(1), 422-441.
Arshad, S., Baleanu, D., Bu, W., & Tang, Y. (2017). Effects of HIV infection on CD4+ T-cell population based on a fractional-order model. Advances in Difference Equations, 2017(1), 92.
Arshad, S., Bu, W., Huang, J., Tang, Y., & Zhao, Y. (2018). Finite difference method for time–space linear and nonlinear fractional diffusion equations. International Journal of Computer Mathematics, 95(1), 202-217.
Zhao, Y., Bu, W., Zhao, X., & Tang, Y. (2017). Galerkin finite element method for two-dimensional space and time fractional Bloch–Torrey equation. Journal of Computational Physics, 350, 117-135.
2015年
Yang, J. Y., Zhao, Y. M., Liu, N., Bu, W. P., Xu, T. L., & Tang, Y. F. (2015). An implicit MLS meshless method for 2-D time dependent fractional diffusion–wave equation. Applied Mathematical Modelling, 39(3-4), 1229-1240.
Bu, W., Tang, Y., Wu, Y., & Yang, J. (2015). Crank–Nicolson ADI Galerkin finite element method for two-dimensional fractional FitzHugh–Nagumo monodomain model. Applied Mathematics and Computation, 257, 355-364.
Zhao, Y., Bu, W., Huang, J., Liu, D. Y., & Tang, Y. (2015). Finite element method for two-dimensional space-fractional advection–dispersion equations. Applied Mathematics and Computation, 257, 553-565.
Bu, W., Tang, Y., Wu, Y., & Yang, J. (2015). Finite difference/finite element method for two-dimensional space and time fractional Bloch–Torrey equations. Journal of Computational Physics, 293, 264-279.
Bu, W., Liu, X., Tang, Y., & Yang, J. (2015). Finite element multigrid method for multi-term time fractional advection diffusion equations. International Journal of Modeling, Simulation, and Scientific Computing, 6(01), 1540001.
2014年
Bu, W., Tang, Y., & Yang, J. (2014). Galerkin finite element method for two-dimensional Riesz space fractional diffusion equations. Journal of Computational Physics, 276, 26-38.
2012年
Bu, Weiping, Aiguo Xiao, and Yifa Tang. "Finite Difference Methods for Space Fractional Advection-Diffusion Equations with Variable Coefficients." International Computer Science Conference. Springer, Berlin, Heidelberg, 2012.