Finite Element Method for a Kind of Two-Dimensional Space-Fractional Diffusion Equation with Its Implementation

ISSN Print: 2161-1203
ISSN Online: 2161-1211
www.scirp.org/journal/ajcm
E-mail: ajcm@scirp.org

Citations h5-index & Ranking*

"Finite Element Method for a Kind of Two-Dimensional Space-Fractional Diffusion Equation with Its Implementation"
written by Beiping Duan, Zhoushun Zheng, Wen Cao,
published by American Journal of Computational Mathematics, Vol.5 No.2, 2015

has been cited by the following article(s):

[1]	Stable finite difference method for fractional reaction–diffusion equations by compact implicit integration factor methods
	2021

[2]	Fourth-order time-stepping compact finite difference method for multi-dimensional space-fractional coupled nonlinear Schrödinger equations
	2020

[3]	Numerical methods for deterministic and stochastic fractional partial differential equations
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[4]	Finite element methods for fractional diffusion equations
	2020

[5]	Finite element methods for fractional diffusion equations.
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[6]	A conservative numerical method for the fractional nonlinear Schröinger equation in two dimensions
	Science China Mathematics, 2019

[7]	Fast solvers for two-dimensional fractional diffusion equations using rank structured matrices
	2019

[8]	MATHICSE Technical Report: Fast solvers for 2D fractional differential equations using rank structured matrices
	2018

[9]	Fast solvers for 2D fractional differential equations using rank structured matrices
	2018

[10]	Fast solvers for 2D fractional diffusion equations using rank structured matrices
	2018

[11]	A conservative local discontinuous Galerkin method for the solution of nonlinear Schrödinger equation in two dimensions
	2017

[12]	Discontinuous Galerkin time stepping method for solving linear space fractional partial differential equations
	Applied Numerical Mathematics, 2017

[1]	Stable finite difference method for fractional reaction–diffusion equations by compact implicit integration factor methods Advances in Difference Equations, 2021 DOI:10.1186/s13662-021-03426-5

[2]	Finite element methods for fractional diffusion equations International Journal of Modeling, Simulation, and Scientific Computing, 2020 DOI:10.1142/S1793962320300010

[3]	Fourth-order time-stepping compact finite difference method for multi-dimensional space-fractional coupled nonlinear Schrödinger equations SN Partial Differential Equations and Applications, 2020 DOI:10.1007/s42985-020-00048-6

[4]	A conservative numerical method for the fractional nonlinear Schröinger equation in two dimensions Science China Mathematics, 2019 DOI:10.1007/s11425-018-9388-9

[5]	Fast Solvers for Two-Dimensional Fractional Diffusion Equations Using Rank Structured Matrices SIAM Journal on Scientific Computing, 2019 DOI:10.1137/18M1180803

[6]	Discontinuous Galerkin time stepping method for solving linear space fractional partial differential equations Applied Numerical Mathematics, 2017 DOI:10.1016/j.apnum.2017.01.009