A novel finite element method for the distributed-order time fractional Cable equation in two dimensions

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.04.019 ◽

2020 ◽

Vol 80 (5) ◽

pp. 923-939

Author(s):

Xinghua Gao ◽

Fawang Liu ◽

Hong Li ◽

Yang Liu ◽

Ian Turner ◽

...

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Two Dimensions ◽

Cable Equation ◽

Fractional Cable Equation ◽

Distributed Order ◽

Download Full-text

Some second-order 𝜃 schemes combined with finite element method for nonlinear fractional cable equation

Numerical Algorithms ◽

10.1007/s11075-018-0496-0 ◽

2018 ◽

Vol 80 (2) ◽

pp. 533-555 ◽

Author(s):

Yang Liu ◽

Yanwei Du ◽

Hong Li ◽

Fawang Liu ◽

Yajun Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Second Order ◽

Cable Equation ◽

Fractional Cable Equation ◽

Download Full-text

Galerkin finite element method and error analysis for the fractional cable equation

Numerical Algorithms ◽

10.1007/s11075-015-0055-x ◽

2015 ◽

Vol 72 (2) ◽

pp. 447-466 ◽

Author(s):

P. Zhuang ◽

F. Liu ◽

I. Turner ◽

V. Anh

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Analysis ◽

Cable Equation ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Fractional Cable Equation ◽

Download Full-text

The discontinuous Galerkin finite element method for fractional cable equation

Applied Numerical Mathematics ◽

10.1016/j.apnum.2016.12.006 ◽

2017 ◽

Vol 115 ◽

pp. 32-41 ◽

Author(s):

Yunying Zheng ◽

Zhengang Zhao

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Discontinuous Galerkin ◽

Cable Equation ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Fractional Cable Equation ◽

Download Full-text

Finite element method combined with second-order time discrete scheme for nonlinear fractional Cable equation

The European Physical Journal Plus ◽

10.1140/epjp/i2016-16061-3 ◽

2016 ◽

Vol 131 (3) ◽

Author(s):

Yajun Wang ◽

Yang Liu ◽

Hong Li ◽

Jinfeng Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Second Order ◽

Cable Equation ◽

Discrete Scheme ◽

Fractional Cable Equation ◽

Download Full-text

An alternating direction implicit Galerkin finite element method for the distributed-order time-fractional mobile–immobile equation in two dimensions

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.11.003 ◽

2020 ◽

Vol 80 (12) ◽

pp. 3156-3172

Author(s):

Wenlin Qiu ◽

Da Xu ◽

Haifan Chen ◽

Jing Guo

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Two Dimensions ◽

Galerkin Finite Element Method ◽

Alternating Direction Implicit ◽

Galerkin Finite Element ◽

Alternating Direction ◽

Distributed Order ◽

Download Full-text

A new high-order discontinuous Galerkin spectral finite element method for Lagrangian gas dynamics in two-dimensions

Journal of Computational Physics ◽

10.1016/j.jcp.2010.12.023 ◽

2011 ◽

Vol 230 (7) ◽

pp. 2496-2522 ◽

Author(s):

Zupeng Jia ◽

Shudao Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Discontinuous Galerkin ◽

Gas Dynamics ◽

Two Dimensions ◽

Spectral Finite Element Method ◽

Spectral Finite Element ◽

Download Full-text

A Generalized Finite Element Method for solving the Helmholtz equation in two dimensions with minimal pollution

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(95)00890-x ◽

1995 ◽

Vol 128 (3-4) ◽

pp. 325-359 ◽

Author(s):

Ivo Babuška ◽

Frank Ihlenburg ◽

Ellen T. Paik ◽

Stefan A. Sauter

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Helmholtz Equation ◽

Two Dimensions ◽

Generalized Finite Element Method ◽

Generalized Finite Element ◽

Download Full-text

A globally uniformly convergent finite element method for a singularly perturbed elliptic problem in two dimensions

Mathematics of Computation ◽

10.1090/s0025-5718-1991-1079029-1 ◽

1991 ◽

Vol 57 (195) ◽

pp. 47-47 ◽

Author(s):

Eugene O’Riordan ◽

Martin Stynes

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Problem ◽

Two Dimensions ◽

Singularly Perturbed ◽

Uniformly Convergent ◽

Download Full-text

- The finite element method in two dimensions

Introduction to Finite and Spectral Element Methods Using MATLAB ◽

10.1201/b17067-8 ◽

2014 ◽

pp. 270-347

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Two Dimensions ◽

The Finite Element Method ◽

Download Full-text

Fully automatic hp adaptive finite element method for the Stokes problem in two dimensions

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2008.05.027 ◽

2008 ◽

Vol 197 (51-52) ◽

pp. 4549-4558 ◽

Author(s):

Pawel Matuszyk ◽

Maciej Paszyński

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Problem ◽

Two Dimensions ◽

Adaptive Finite Element Method ◽

Adaptive Finite Element ◽

Fully Automatic ◽

Download Full-text