High-Order Numerical Algorithms for Riesz Derivatives via Constructing New Generating Functions-Reference-Cited by-同舟云学术

High-Order Numerical Algorithms for Riesz Derivatives via Constructing New Generating Functions

Published:2016-11-16 Issue:2 Volume:71 Page:759-784
ISSN:0885-7474
Container-title:Journal of Scientific Computing
language:en
Short-container-title:J Sci Comput

Author:

Ding Hengfei^ORCID,Li Changpin

Funder

the National Natural Science Foundation of China

the Scientific Research Program for Young Teachers of Tianshui Normal University

Tianshui Normal University Key Construction Subject Project (Big data processing in dynamic image)

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Link

http://link.springer.com/content/pdf/10.1007/s10915-016-0317-3.pdf

Reference38 articles.

1. Alikhanov, A.A.: A new difference scheme for the time fractional diffusion equation. J. Comput. Phys. 280, 424–438 (2015)

2. Bailey, W.N.: Generalized Hypergeometric Series. Stechert-Hafner Inc, New York (1964)

3. Çelik, C., Duman, M.: Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative. J. Comput. Phys. 231, 1743–1750 (2012)

4. Chan, R.H.: Toeplitz preconditioners for Toeplitz systems with nonnegative generating functions. IMA J. Numer. Anal. 11, 333–345 (1991)

5. Chan, R.H., Jin, X.Q.: An Introduction to Iterative Toeplitz Solvers. SIAM, Philadelphia (2007)

Cited by 80 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A single-sided all-at-once preconditioning for linear system from a non-local evolutionary equation with weakly singular kernels;Computers & Mathematics with Applications;2024-09

2. A $$\tau $$-Preconditioner for Space Fractional Diffusion Equation with Non-separable Variable Coefficients;Journal of Scientific Computing;2024-06-11

3. Numerical Algorithms for Ultra-slow Diffusion Equations;Communications on Applied Mathematics and Computation;2024-06-08

4. Construction and Analysis of Structure-Preserving Numerical Algorithm for Two-Dimensional Damped Nonlinear Space Fractional Schrödinger equation;Journal of Scientific Computing;2024-04-20

5. An accelerated novel meshless coupled algorithm for Non-local nonlinear behavior in 2D/3D space-fractional GPEs;Computer Physics Communications;2024-03