Some second-order 𝜃 schemes combined with finite element method for nonlinear fractional cable equation
Author:
Funder
National Natural Science Fund
Natural Science Fund of Inner Mongolia Autonomous Region
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics
Link
http://link.springer.com/article/10.1007/s11075-018-0496-0/fulltext.html
Reference33 articles.
1. Zhao, Y., Zhang, Y., Shi, D., Liu, F., Turner, I.: Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations. Appl. Math. Lett. 59, 38–47 (2016)
2. Liu, F., Zhuang, P., Turner, I., Burrage, K., Anh, V.: A new fractional finite volume method for solving the fractional diffusion equation. Appl. Math. Model. 38(15), 3871–3878 (2014)
3. Wang, H., Yang, D., Zhu, S.F.: A Petrov-Galerkin finite element method for variable-coefficient fractional diffusion equations. Comput. Methods Appl. Mech. Eng. 290, 45–56 (2015)
4. Yuste, S.B., Quintana-Murillo, J.: A finite difference method with non-uniform time steps for fractional diffusion equations. Comput. Phys. Comm. 183(12), 2594–2600 (2012)
5. Meerschaert, M.M., Tadjeran, C.: Finite difference approximations for fractional advection-dispersion flow equations. J. Comput. Appl. Math. 172(1), 65–77 (2004)
Cited by 76 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. Second-order error analysis of a corrected average finite difference scheme for time-fractional Cable equations with nonsmooth solutions;Mathematics and Computers in Simulation;2024-12
2. On Numerical Simulations of Variable-Order Fractional Cable Equation Arising in Neuronal Dynamics;Fractal and Fractional;2024-05-08
3. Fractional Spectral and Fractional Finite Element Methods: A Comprehensive Review and Future Prospects;Archives of Computational Methods in Engineering;2024-03-05
4. Unconditional analysis of the linearized second-order time-stepping scheme combined with a mixed element method for a nonlinear time fractional fourth-order wave equation;Computers & Mathematics with Applications;2024-03
5. Utilizing differential quadrature-based RBF partition of unity collocation method to simulate distributed-order time fractional Cable equation;Computational and Applied Mathematics;2024-01-12
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