Exponentially accurate spectral and spectral element methods for fractional ODEs-Reference-Cited by-同舟云学术

Exponentially accurate spectral and spectral element methods for fractional ODEs

Published:2014-01 Issue: Volume:257 Page:460-480
ISSN:0021-9991
Container-title:Journal of Computational Physics
language:en
Short-container-title:Journal of Computational Physics

Author:

Zayernouri Mohsen,Karniadakis George Em

Funder

Department of Energy

OSD/MURI

NSF/DMS

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modelling and Simulation,Numerical Analysis

Reference47 articles.

1. Fractional Sturm–Liouville eigen-problems: Theory and numerical approximations;Zayernouri;J. Comput. Phys.,2013

2. An analog simulation of non-integer order transfer functions for analysis of electrode processes;Ichise;J. Electroanal. Chem. Interfacial Electrochem.,1971

3. Application of a fractional advection–dispersion equation;Benson;Water Resour. Res.,2000

4. Fractional Calculus and Waves in Linear Viscoelasticity: An Introduction to Mathematical Models;Mainardi,2010

5. Physics of Fractal Operators;West,2003

Cited by 142 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. Chebyshev Pseudospectral Method for Fractional Differential Equations in Non-Overlapping Partitioned Domains;AppliedMath;2024-08-02

2. Numerical solution of FDE-IVPs by using fractional HBVMs: the fhbvm code;Numerical Algorithms;2024-07-16

3. Efficient Legendre-Laguerre spectral element methods for problems on unbounded domains with diagonalization technique;Computers & Mathematics with Applications;2024-04

4. Fractional Spectral and Fractional Finite Element Methods: A Comprehensive Review and Future Prospects;Archives of Computational Methods in Engineering;2024-03-05

5. An easy-to-implement recursive fractional spectral-Galerkin method for multi-term weakly singular Volterra integral equations with non-smooth solutions;Numerical Algorithms;2024-02-12