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 ◽

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Alternating Direction Implicit Galerkin Finite Element Method for the Two-Dimensional Time Fractional Evolution Equation

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.2014.y11051 ◽

2014 ◽

Vol 7 (1) ◽

pp. 41-57 ◽

Author(s):

Limei Li and Da Xu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Evolution Equation ◽

Two Dimensional ◽

Galerkin Finite Element Method ◽

Alternating Direction Implicit ◽

Galerkin Finite Element ◽

Fractional Evolution Equation ◽

Alternating Direction ◽

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Alternating direction implicit Galerkin finite element method for the two-dimensional fractional diffusion-wave equation

Journal of Computational Physics ◽

10.1016/j.jcp.2013.08.031 ◽

2013 ◽

Vol 255 ◽

pp. 471-485 ◽

Author(s):

Limei Li ◽

Da Xu ◽

Man Luo

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Wave Equation ◽

Fractional Diffusion ◽

Two Dimensional ◽

Galerkin Finite Element Method ◽

Diffusion Wave ◽

Alternating Direction Implicit ◽

Galerkin Finite Element ◽

Alternating Direction

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A weak Galerkin finite element method for solving time-fractional coupled Burgers' equations in two dimensions

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.04.016 ◽

2020 ◽

Vol 156 ◽

pp. 265-275

Author(s):

Ahmed Jabbar Hussein

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Two Dimensions ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Burgers Equations ◽

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A weak Galerkin finite element method for solving nonlinear convection-diffusion problems in two dimensions

Applied Mathematics and Computation ◽

10.1016/j.amc.2019.02.043 ◽

2019 ◽

Vol 354 ◽

pp. 149-163 ◽

Author(s):

Mohammed S. Cheichan ◽

Hashim A. Kashkool ◽

Fuzheng Gao

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Two Dimensions ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Nonlinear Convection ◽

Galerkin Finite Element ◽

Convection Diffusion ◽

Diffusion Problems ◽

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A Galerkin finite element method for the modified distributed-order anomalous sub-diffusion equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2019.112589 ◽

2020 ◽

Vol 368 ◽

pp. 112589 ◽

Author(s):

Lang Li ◽

Fawang Liu ◽

Libo Feng ◽

Ian Turner

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Diffusion Equation ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Distributed Order ◽

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A stabilizer free weak Galerkin finite element method on polytopal mesh: Part II

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113525 ◽

2021 ◽

Vol 394 ◽

pp. 113525

Author(s):

Xiu Ye ◽

Shangyou Zhang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

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A weak Galerkin finite element method for two-dimensional coupled burgers’ equation by using polynomials of order (k, k – 1, k – 1)

Journal of Interdisciplinary Mathematics ◽

10.1080/09720502.2019.1706844 ◽

2020 ◽

Vol 23 (4) ◽

pp. 777-790

Author(s):

Ahmed Jabbar Hussein ◽

Hashim A. Kashkool

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Burgers Equation ◽

Two Dimensional ◽

Galerkin Finite Element Method ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Coupled Burgers Equation ◽

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Galerkin finite element method for nonlinear fractional differential equations

Numerical Algorithms ◽

10.1007/s11075-020-01032-2 ◽

2021 ◽

Author(s):

Khadijeh Nedaiasl ◽

Raziyeh Dehbozorgi

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Differential Equations ◽

Fractional Differential Equations ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Nonlinear Fractional Differential Equations ◽

Fractional Differential ◽

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A Petrov–Galerkin finite element method for simulating chemotaxis models on stationary surfaces

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.01.019 ◽

2020 ◽

Vol 79 (11) ◽

pp. 3189-3205

Author(s):

Shubo Zhao ◽

Xufeng Xiao ◽

Jianping Zhao ◽

Xinlong Feng

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Galerkin Finite Element Method ◽

Galerkin Finite Element ◽

Chemotaxis Models ◽

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An Upwind Nonlinear Galerkin Finite Element Method For The Stationary Navier-Stokes Equations

10.1063/1.3452172 ◽

2010 ◽

Author(s):

Juan Wen ◽

Jane W. Z. Lu ◽

Andrew Y. T. Leung ◽

Vai Pan Iu ◽

Kai Meng Mok

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Stokes Equations ◽

Navier Stokes ◽

Galerkin Finite Element Method ◽

Navier Stokes Equations ◽

Galerkin Finite Element ◽

Stationary Navier Stokes Equations ◽

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