Fractional Crank–Nicolson–Galerkin finite element scheme for the time‐fractional nonlinear diffusion equation

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22399 ◽

2019 ◽

Vol 35 (6) ◽

pp. 2056-2075 ◽

Author(s):

Dileep Kumar ◽

Sudhakar Chaudhary ◽

V.V.K. Srinivas Kumar

Keyword(s):

Finite Element ◽

Diffusion Equation ◽

Nonlinear Diffusion ◽

Nonlinear Diffusion Equation ◽

Finite Element Scheme ◽

Galerkin Finite Element ◽

Element Scheme ◽

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Crank-Nicolson-Galerkin finite element scheme for nonlocal coupled parabolic problem using the Newton method

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4641 ◽

2017 ◽

Author(s):

Sudhakar Chaudhary

Keyword(s):

Finite Element ◽

Newton Method ◽

Parabolic Problem ◽

Finite Element Scheme ◽

Galerkin Finite Element ◽

Element Scheme ◽

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A Galerkin finite element scheme for time–space fractional diffusion equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2015.1044986 ◽

2015 ◽

Vol 93 (7) ◽

pp. 1212-1225 ◽

Author(s):

Zhengang Zhao ◽

Yunying Zheng ◽

Peng Guo

Keyword(s):

Finite Element ◽

Diffusion Equation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Finite Element Scheme ◽

Galerkin Finite Element ◽

Element Scheme ◽

Space Fractional Diffusion Equation

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A novel linearized Galerkin finite element scheme with fractional Crank–Nicolson method for the nonlinear coupled delay subdiffusion system with smooth solutions

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7858 ◽

2021 ◽

Author(s):

Dileep Kumar ◽

Kottakkaran Sooppy Nisar

Keyword(s):

Finite Element ◽

Smooth Solutions ◽

Finite Element Scheme ◽

Galerkin Finite Element ◽

Element Scheme ◽

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Crank–Nicolson Finite Element Scheme and Modified Reduced-Order Scheme for Fractional Sobolev Equation

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2018.1488143 ◽

2018 ◽

Vol 39 (15) ◽

pp. 1635-1655 ◽

Author(s):

Jincun Liu ◽

Hong Li ◽

Yang Liu

Keyword(s):

Finite Element ◽

Sobolev Equation ◽

Finite Element Scheme ◽

Reduced Order ◽

Element Scheme ◽

Order Scheme ◽

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ADI Galerkin finite element scheme for the two-dimensional semilinear partial intergro-differential equation with a weakly singular kernel

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-021-01609-7 ◽

2021 ◽

Author(s):

Biao Yang ◽

Haixiang Zhang ◽

Xuehua Yang ◽

Liang Tang

Keyword(s):

Differential Equation ◽

Finite Element ◽

Singular Kernel ◽

Two Dimensional ◽

Finite Element Scheme ◽

Weakly Singular Kernel ◽

Galerkin Finite Element ◽

Element Scheme ◽

Weakly Singular

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Mixed Finite Element Method for Nonlinear Diffusion Equation in Image Processing

Pattern Recognition and Image Analysis ◽

10.1134/s1054661819020020 ◽

2019 ◽

Vol 29 (2) ◽

pp. 296-308 ◽

Author(s):

Amal Hjouji ◽

Jaouad El-Mekkaoui ◽

Mostafa Jourhmane

Keyword(s):

Finite Element Method ◽

Image Processing ◽

Finite Element ◽

Diffusion Equation ◽

Nonlinear Diffusion ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Nonlinear Diffusion Equation ◽

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An adaptive stabilized finite element scheme for the advection–reaction–diffusion equation

Applied Numerical Mathematics ◽

10.1016/j.apnum.2004.09.015 ◽

2005 ◽

Vol 54 (3-4) ◽

pp. 491-503 ◽

Author(s):

Rodolfo Araya ◽

Edwin Behrens ◽

Rodolfo Rodríguez

Keyword(s):

Finite Element ◽

Diffusion Equation ◽

Reaction Diffusion ◽

Reaction Diffusion Equation ◽

Finite Element Scheme ◽

Element Scheme ◽

Stabilized Finite Element

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Application of a Galerkin Finite Element Scheme to Atmospheric Buoyant and Gravity Driven Flows

48th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition ◽

10.2514/6.2010-690 ◽

2010 ◽

Author(s):

Simone Marras ◽

Mariano Vazquez ◽

Oriol Jorba ◽

Romain Aubry ◽

Guillaume Houzeaux ◽

...

Keyword(s):

Finite Element ◽

Finite Element Scheme ◽

Galerkin Finite Element ◽

Element Scheme ◽

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On a two-grid finite element scheme combined with Crank–Nicolson method for the equations of motion arising in the Kelvin–Voigt model

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2014.07.011 ◽

2014 ◽

Vol 68 (12) ◽

pp. 2277-2291 ◽

Author(s):

S. Bajpai ◽

N. Nataraj

Keyword(s):

Finite Element ◽

Equations Of Motion ◽

Finite Element Scheme ◽

Element Scheme ◽

Voigt Model ◽

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A parallel implementation of an implicit discontinuous Galerkin finite element scheme for fluid flow problems

Advances in Engineering Software ◽

10.1016/j.advengsoft.2016.11.007 ◽

2017 ◽

Vol 113 ◽

pp. 108-119 ◽

Author(s):

Jan Vimmr ◽

Ondřej Bublík ◽

Aleš Pecka

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Parallel Implementation ◽

Finite Element Scheme ◽

Galerkin Finite Element ◽

Element Scheme ◽

Flow Problems ◽

Discontinuous Galerkin Finite Element

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