Journal of Terahertz Science and Electronic Information Technology , Volume. 21, Issue 5, 652(2023)
Fast WSLD design algorithm for digital FIR fractional differentiator
[4] [4] LUBICH C. Discretized fractional calculus[J]. SIAM Journal on Mathematical Analysis, 1986,17(3):704-719.
[9] [9] MEERSCHAERT M M, TADJERAN C. Finite difference approximations for fractional advection-dispersion flow equations[J]. Journal of Computational and Applied Mathematics, 2004,172(1):65-77.
[10] [10] TIAN Wenyi,ZHOU Han,DENG Weihua. A class of second order difference approximations for solving space fractional diffusion equations[J]. Mathematics of Computation, 2015,84(294):1703-1727.
[11] [11] NASIR H M, GUNAWARDANA B L K, ABEYRATHNA H M N P. A second order finite difference approximation for the fractional diffusion equation[J]. International Journal of Applied Physics & Mathematics, 2013,3(4):237-243.
[12] [12] CHEN M,DENG W. WSLD operators:a class of fourth order difference approximations for space Riemann-Liouville derivative[J/OL]. arXiv:1306.5900v1, 2013.
[13] [13] HOU B, LIANG D. Time fourth-order energy-preserving AVF finite difference method for nonlinear space-fractional wave equations[J]. Journal of Computational and Applied Mathematics, 2021(386):113227.
[14] [14] LIN Furong, SHE Zihang. Stability and convergence of 3-point WSGD schemes for two-sided space fractional advection-diffusion equations with variable coefficients[J]. Applied Numerical Mathematics, 2021(167):281-307.
[15] [15] ZHAO Jie,FANG Zhichao,LI Hong,et al. Finite volume element method with the WSGD formula for nonlinear fractional mobile/ immobile transport equations[J]. Advances in Difference Equations, 2020(1):1-20.
[16] [16] BARBOSA R S,MACHADO J A T,FERREIRA I M. Least-squares design of digital fractional-order operators[C]// The 1st IFAC Workshop on Fractional Differentiation and its Applications. Bordeaux,France:[s.n.], 2004:434-439.
[19] [19] DIMITROV Y. Numerical approximations for fractional differential equations[J/OL]. arXiv:1311.3935, 2013.
Get Citation
Copy Citation Text
LIQi, ZHOUYu, HEHaoming, YUAN Xiao. Fast WSLD design algorithm for digital FIR fractional differentiator[J]. Journal of Terahertz Science and Electronic Information Technology , 2023, 21(5): 652
Category:
Received: Apr. 18, 2022
Accepted: --
Published Online: Jan. 17, 2024
The Author Email: LIQi (835174530@qq.com)