Hong Li
Orcid: 0000-0002-9832-0496Affiliations:
- Inner Mongolia University, School of Mathematical Sciences, Hohhot, China
According to our database1,
Hong Li
authored at least 55 papers
between 2009 and 2024.
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Bibliography
2024
A Reduced-Dimension Weighted Explicit Finite Difference Method Based on the Proper Orthogonal Decomposition Technique for the Space-Fractional Diffusion Equation.
Axioms, July, 2024
Unconditional analysis of the linearized second-order time-stepping scheme combined with a mixed element method for a nonlinear time fractional fourth-order wave equation.
Comput. Math. Appl., 2024
Analysis of variable-time-step BDF2 combined with the fast two-grid finite element algorithm for the FitzHugh-Nagumo model.
Comput. Math. Appl., 2024
The Reduced-Dimension Method for Crank-Nicolson Mixed Finite Element Solution Coefficient Vectors of the Extended Fisher-Kolmogorov Equation.
Axioms, 2024
2023
Numerical study of two-dimensional Burgers' equation by using a continuous Galerkin method.
Comput. Math. Appl., November, 2023
A fast time two-mesh finite volume element algorithm for the nonlinear time-fractional coupled diffusion model.
Numer. Algorithms, June, 2023
A two-grid ADI finite element approximation for a nonlinear distributed-order fractional sub-diffusion equation.
Networks Heterog. Media, 2023
Fast high-order compact difference scheme for the nonlinear distributed-order fractional Sobolev model appearing in porous media.
Math. Comput. Simul., 2023
Fast TT-M fourth-order compact difference schemes for a two-dimensional space fractional Gray-Scott model.
Comput. Math. Appl., 2023
Axioms, 2023
2022
Local discontinuous Galerkin method combined with the L2 formula for the time fractional Cable model.
J. Appl. Math. Comput., December, 2022
Mixed element algorithm based on a second-order time approximation scheme for a two-dimensional nonlinear time fractional coupled sub-diffusion model.
Eng. Comput., 2022
A Time Two-Mesh Compact Difference Method for the One-Dimensional Nonlinear Schrödinger Equation.
Entropy, 2022
Fast structure-preserving difference algorithm for 2D nonlinear space-fractional wave models.
Comput. Math. Appl., 2022
Axioms, 2022
2021
Fast second-order time two-mesh mixed finite element method for a nonlinear distributed-order sub-diffusion model.
Numer. Algorithms, 2021
Math. Comput. Simul., 2021
TT-M FE method for a 2D nonlinear time distributed-order and space fractional diffusion equation.
Math. Comput. Simul., 2021
J. Sci. Comput., 2021
A structure preserving difference scheme with fast algorithms for high dimensional nonlinear space-fractional Schrödinger equations.
J. Comput. Phys., 2021
Finite Volume Element Methods for Two-Dimensional Time Fractional Reaction-Diffusion Equations on Triangular Grids.
CoRR, 2021
Fourth-order compact difference schemes for the two-dimensional nonlinear fractional mobile/immobile transport models.
Comput. Math. Appl., 2021
A space-time finite element method based on local projection stabilization in space and discontinuous Galerkin method in time for convection-diffusion-reaction equations.
Appl. Math. Comput., 2021
2020
Finite Element Methods Based on Two Families of Second-Order Numerical Formulas for the Fractional Cable Model with Smooth Solutions.
J. Sci. Comput., 2020
Efficient shifted fractional trapezoidal rule for subdiffusion problems with nonsmooth solutions on uniform meshes.
CoRR, 2020
Analysis of a continuous Galerkin method with mesh modification for two-dimensional telegraph equation.
Comput. Math. Appl., 2020
TT-M finite element algorithm for a two-dimensional space fractional Gray-Scott model.
Comput. Math. Appl., 2020
A novel finite element method for the distributed-order time fractional Cable equation in two dimensions.
Comput. Math. Appl., 2020
Necessity of introducing non-integer shifted parameters by constructing high accuracy finite difference algorithms for a two-sided space-fractional advection-diffusion model.
Appl. Math. Lett., 2020
A class of shifted high-order numerical methods for the fractional mobile/immobile transport equations.
Appl. Math. Comput., 2020
2019
Some second-order ϴ schemes combined with finite element method for nonlinear fractional cable equation.
Numer. Algorithms, 2019
Fast algorithm based on TT-M FE system for space fractional Allen-Cahn equations with smooth and non-smooth solutions.
J. Comput. Phys., 2019
Finite element methods based on two families of novel second-order numerical formulas for the fractional Cable model.
CoRR, 2019
Two families of novel second-order fractional numerical formulas and their applications to fractional differential equations.
CoRR, 2019
2018
Time second-order finite difference/finite element algorithm for nonlinear time-fractional diffusion problem with fourth-order derivative term.
Comput. Math. Appl., 2018
2017
Local discontinuous Galerkin method for a nonlinear time-fractional fourth-order partial differential equation.
J. Comput. Phys., 2017
A MFE method combined with L1-approximation for a nonlinear time-fractional coupled diffusion system.
Int. J. Model. Simul. Sci. Comput., 2017
Analysis of a space-time continuous Galerkin method for convection-dominated Sobolev equations.
Comput. Math. Appl., 2017
Second-order approximation scheme combined with H<sup>1</sup>-Galerkin MFE method for nonlinear time fractional convection-diffusion equation.
Comput. Math. Appl., 2017
High-order local discontinuous Galerkin method combined with WSGD-approximation for a fractional subdiffusion equation.
Comput. Math. Appl., 2017
2015
Finite difference/finite element method for a nonlinear time-fractional fourth-order reaction-diffusion problem.
Comput. Math. Appl., 2015
A two-grid mixed finite element method for a nonlinear fourth-order reaction-diffusion problem with time-fractional derivative.
Comput. Math. Appl., 2015
Appl. Math. Comput., 2015
2014
Fully discrete two-step mixed element method for the symmetric regularized long wave equation.
Int. J. Model. Simul. Sci. Comput., 2014
Application of low-dimensional finite element method to fractional diffusion equation.
Int. J. Model. Simul. Sci. Comput., 2014
A New Characteristic Expanded mixed method for Sobolev equation with convection Term.
Int. J. Model. Simul. Sci. Comput., 2014
A mixed finite element method for a time-fractional fourth-order partial differential equation.
Appl. Math. Comput., 2014
2013
A reduced-order finite volume element formulation based on POD method and numerical simulation for two-dimensional solute transport problems.
Math. Comput. Simul., 2013
A Novel Characteristic Expanded Mixed Method for Reaction-Convection-Diffusion Problems.
J. Appl. Math., 2013
Comput. Math. Appl., 2013
A reduced-order Crank-Nicolson finite volume element formulation based on POD method for parabolic equations.
Appl. Math. Comput., 2013
2012
An oscillation-free high order TVD/CBC-based upwind scheme for convection discretization.
Numer. Algorithms, 2012
A New Positive Definite Expanded Mixed Finite Element Method for Parabolic Integrodifferential Equations.
J. Appl. Math., 2012
Corrigendum to "H<sup>1</sup>-Galerkin mixed finite element methods for pseudo-hyperbolic equations" [Appl. Math. Comput. 212 (2009) 446-457].
Appl. Math. Comput., 2012
2009
Appl. Math. Comput., 2009