Investigations on several high-order ADI methods for time-space fractional diffusion equation-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

Investigations on several high-order ADI methods for time-space fractional diffusion equation

Published:2018-10-06 Issue:1 Volume:82 Page:69-106
ISSN:1017-1398
Container-title:Numerical Algorithms
language:en
Short-container-title:Numer Algor

Author:

Zhai Shuying^ORCID,Weng Zhifeng,Feng Xinlong,Yuan Jinyun

Funder

the NSF of China

the China Postdoctoral Sustentation Fund

the Natural Science Foundation of Fujian Province

CAPES, CNPq

the Promotion Program for Young and Middle-aged Teacher in Science and Technology Research of Huaqiao University

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s11075-018-0594-z.pdf

Reference36 articles.

1. Deng, W.H., Li, C.P.: The evolution of chaotic dynamics for fractional unified system. Phys. Lett. A 372, 401–407 (2008)

2. Scalas, E., Gorenflo, R., Mainardi, F.: Fractional calculus and continuous time finance. Physica A 284, 376–384 (2000)

3. Benson, D.A., Wheatcraft, S.W., Meerschaert, M.M.: Application of a fractional advection-dispersion equation. Water Resources Res. 36, 1403–1412 (2000)

4. Sun, H.G., Zhang, Y., Baleanu, D., Chen, W., Chen, Y.Q.: A new collection of real world applications of fractional calculus in science and engineering. Commun. Nonlinear Sci. Numer. Simulat. 64, 213–231 (2018)

5. Gorenflo, R., Mainardi, F., Moretti, D., Pagnini, G., Paradisi, P.: Fractional diffusion: probability distributions and random walk models. Physica A 305, 106–112 (2002)

Cited by 10 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. Accurate numerical simulations for fractional diffusion equations using spectral deferred correction methods;Computers & Mathematics with Applications;2024-01

2. $$H^{1}$$-norm error analysis of a robust ADI method on graded mesh for three-dimensional subdiffusion problems;Numerical Algorithms;2023-10-16

3. A weighted ADI scheme with variable time steps for diffusion-wave equations;Calcolo;2023-10-09

4. A bilateral preconditioning for an L2-type all-at-once system from time-space non-local evolution equations with a weakly singular kernel;Computers & Mathematics with Applications;2023-10

5. Numerical Algorithm for the Gray-Scott Equation of Spatial Fractional Order;Advances in Applied Mathematics;2023

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号京ICP备18003416号-3