High-Order Algorithms for Riesz Derivative and their Applications (III)

被引：0
|
作者：
Ding Hengfei
Li Changpin
机构：
[1] Tianshui Normal University,School of Mathematics and Statistics
[2] Shanghai University,Department of Mathematics
来源：
Fractional Calculus and Applied Analysis | 2016年 / 19卷
关键词：
65M06; 65M12; space fractional turbulent diffusion equation; high-order algorithms; stability analysis;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Numerical methods for fractional calculus attract increasing interest due to its wide applications in various fields such as physics, mechanics, etc. In this paper, we focus on constructing high-order algorithms for Riesz derivatives, where the convergence orders cover from the second order to the sixth order. Then we apply the established schemes to the Riesz type turbulent diffusion equation (or, Riesz space fractional turbulent diffusion equation). Numerical experiments are displayed which support the theoretical analysis.
引用
收藏
页码：19 / 55
页数：36
相关论文
共 50 条
  • [21] Convergence of High-Order Derivative-Free Algorithms for the Iterative Solution of Systems of Not Necessarily Differentiable Equations
    Regmi, Samundra
    Argyros, Ioannis K.
    George, Santhosh
    MATHEMATICS, 2024, 12 (05)
  • [22] Automated generation of high-order partial derivative models
    Turner, JD
    AIAA JOURNAL, 2003, 41 (08) : 1590 - 1598
  • [23] The Cauchy Problem for High-Order Equations with a Caputo Derivative
    Egorov, Ivan E.
    Fedotov, Egor D.
    9TH INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELING: DEDICATED TO THE 75TH ANNIVERSARY OF PROFESSOR V.N. VRAGOV, 2021, 2328
  • [24] High-order exponential integrators for the Riesz space-fractional telegraph equation
    Li, Yu
    Li, Boxiao
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2024, 128
  • [25] HIGH-RESOLUTION SPECTROSCOPY USING HIGH-ORDER DERIVATIVE TECHNIQUES
    DHARAMSI, AN
    LU, Y
    APPLIED PHYSICS LETTERS, 1994, 65 (18) : 2257 - 2259
  • [26] Hypergeometric summation algorithms for high-order finite elements
    Becirovic, A.
    Paule, P.
    Pillwein, V.
    Riese, A.
    Schneider, C.
    Schoeberl, J.
    COMPUTING, 2006, 78 (03) : 235 - 249
  • [27] Fast algorithms for high-order spline collocation systems
    W. Sun
    Numerische Mathematik, 1998, 81 : 143 - 160
  • [28] Fast algorithms for high-order spline collocation systems
    Sun, W
    NUMERISCHE MATHEMATIK, 1998, 81 (01) : 143 - 160
  • [29] Smoothing algorithms and high-order singularities in gravitational lensing
    Li, Guo-Liang
    Mao, S.
    Jing, Y. P.
    Kang, X.
    Bartelmann, M.
    ASTROPHYSICAL JOURNAL, 2006, 652 (01): : 43 - 55
  • [30] DIRECTION FINDING ALGORITHMS BASED ON HIGH-ORDER STATISTICS
    PORAT, B
    FRIEDLANDER, B
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1991, 39 (09) : 2016 - 2024
12345