Hong Li

65 papers Journal 65
YearRankTypeTitle / Venue / Authors
2026 J jnl
ITPINN : Integral-trainable physics informed neural network for solving high-dimensional evolution non-local partial differential equations.
Comput. Math. Appl.
Wenkai Liu, Fanhai Zeng, Hong Li, Yang Liu
2026 J jnl
Two families of weighted- θ compact ADI difference schemes for the three-dimensional space fractional complex Ginzburg-Landau equation.
Appl. Math. Lett.
Li Chai, Yang Liu, Hong Li
2025 J jnl
Integrating Proper Orthogonal Decomposition with the Crank-Nicolson Finite Element Method for Efficient Solutions of the Schrödinger Equation.
Axioms
Xiaohui Chang, Hong Li, Jiahua Wang, Xuehui Ren
2025 J jnl
Mixed spectral element method combined with second-order time stepping schemes for a two-dimensional nonlinear fourth-order fractional diffusion equation.
Comput. Math. Appl.
Jiarui Wang, Yining Yang, Hong Li, Yang Liu
2025 J jnl
Modified L1 Crank-Nicolson finite element methods with unconditional convergence for nonlinear time-fractional Schrödinger equations.
Commun. Nonlinear Sci. Numer. Simul.
Yan Wang, Baoli Yin, Yang Liu, Hong Li
2025 J jnl
Structure-preserving compact ADI schemes for the space fractional Klein-Gordon-Schrödinger equations and the dynamic simulation of solitary wave solutions.
Appl. Math. Comput.
Li Chai, Yang Liu, Hong Li, Zhichao Fang
2024 J jnl
A Reduced-Dimension Weighted Explicit Finite Difference Method Based on the Proper Orthogonal Decomposition Technique for the Space-Fractional Diffusion Equation.
Axioms
Xuehui Ren, Hong Li
2024 J jnl
Analysis of variable-time-step BDF2 combined with the fast two-grid finite element algorithm for the FitzHugh-Nagumo model.
Comput. Math. Appl.
Xinyuan Liu, Nan Liu, Yang Liu, Hong Li
2024 J jnl
Convolution quadrature for Hadamard fractional calculus and correction methods for the subdiffusion with singular source terms.
Commun. Nonlinear Sci. Numer. Simul.
Baoli Yin, Guoyu Zhang, Yang Liu, Hong Li
2024 J jnl
The Reduced-Dimension Method for Crank-Nicolson Mixed Finite Element Solution Coefficient Vectors of the Extended Fisher-Kolmogorov Equation.
Axioms
Xiaohui Chang, Hong Li
2024 J jnl
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.
Yan Wang, Yining Yang, Jinfeng Wang, Hong Li, Yang Liu
2023 J jnl
A Space-Time Legendre-Petrov-Galerkin Method for Third-Order Differential Equations.
Axioms
Siqin Tang, Hong Li
2023 J jnl
A fast time two-mesh finite volume element algorithm for the nonlinear time-fractional coupled diffusion model.
Numer. Algorithms
Zhichao Fang, Jie Zhao, Hong Li, Yang Liu
2023 J jnl
A two-grid ADI finite element approximation for a nonlinear distributed-order fractional sub-diffusion equation.
Networks Heterog. Media
Yaxin Hou, Cao Wen, Yang Liu, Hong Li
2023 J jnl
Fast TT-M fourth-order compact difference schemes for a two-dimensional space fractional Gray-Scott model.
Comput. Math. Appl.
Li Chai, Yang Liu, Hong Li, Wei Gao
2023 J jnl
Fast high-order compact difference scheme for the nonlinear distributed-order fractional Sobolev model appearing in porous media.
Math. Comput. Simul.
Yuxuan Niu, Yang Liu, Hong Li, Fawang Liu
2023 J jnl
Numerical study of two-dimensional Burgers' equation by using a continuous Galerkin method.
Comput. Math. Appl.
Zhihui Zhao, Hong Li
2023 J jnl
Structure-preserving BDF2 FE method for the coupled Schrödinger-Boussinesq equations.
Numer. Algorithms
Yining Yang, Ziyu Sun, Yang Liu, Hong Li
2022 J jnl
A Time Two-Mesh Compact Difference Method for the One-Dimensional Nonlinear Schrödinger Equation.
Entropy
Siriguleng He, Yang Liu, Hong Li
2022 J jnl
Fast structure-preserving difference algorithm for 2D nonlinear space-fractional wave models.
Comput. Math. Appl.
Ziyu Sun, Yang Liu, Baoli Yin, Hong Li
2022 J jnl
Local discontinuous Galerkin method combined with the L2 formula for the time fractional Cable model.
J. Appl. Math. Comput.
Minghui Song, Jinfeng Wang, Yang Liu, Hong Li
2022 J jnl
Mixed element algorithm based on a second-order time approximation scheme for a two-dimensional nonlinear time fractional coupled sub-diffusion model.
Eng. Comput.
Ruihan Feng, Yang Liu, Yaxin Hou, Hong Li, Zhichao Fang
2022 J jnl
TT-M Finite Element Algorithm for the Coupled Schrödinger-Boussinesq Equations.
Axioms
Jiale Tian, Ziyu Sun, Yang Liu, Hong Li
2021 J jnl
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.
Ziming Dong, Hong Li
2021 J jnl
A structure preserving difference scheme with fast algorithms for high dimensional nonlinear space-fractional Schrödinger equations.
J. Comput. Phys.
Baoli Yin, Jinfeng Wang, Yang Liu, Hong Li
2021 J jnl
Fast second-order time two-mesh mixed finite element method for a nonlinear distributed-order sub-diffusion model.
Numer. Algorithms
Cao Wen, Yang Liu, Baoli Yin, Hong Li, Jinfeng Wang
2021 J jnl
Finite Volume Element Methods for Two-Dimensional Time Fractional Reaction-Diffusion Equations on Triangular Grids.
CoRR
Zhichao Fang, Jie Zhao, Hong Li, Yang Liu
2021 J jnl
Fourth-order compact difference schemes for the two-dimensional nonlinear fractional mobile/immobile transport models.
Comput. Math. Appl.
Li Chai, Yang Liu, Hong Li
2021 J jnl
Mixed finite element algorithm for a nonlinear time fractional wave model.
Math. Comput. Simul.
Jinfeng Wang, Baoli Yin, Yang Liu, Hong Li, Zhichao Fang
2021 J jnl
TT-M FE method for a 2D nonlinear time distributed-order and space fractional diffusion equation.
Math. Comput. Simul.
Xinghua Gao, Baoli Yin, Hong Li, Yang Liu
2021 J jnl
The Unified Theory of Shifted Convolution Quadrature for Fractional Calculus.
J. Sci. Comput.
Yang Liu, Baoli Yin, Hong Li, Zhimin Zhang
2021 J jnl
The study of a continuous Galerkin method for Sobolev equation with space-time variable coefficients.
Appl. Math. Comput.
Zhihui Zhao, Hong Li, Jing Wang
2020 J jnl
A class of shifted high-order numerical methods for the fractional mobile/immobile transport equations.
Appl. Math. Comput.
Baoli Yin, Yang Liu, Hong Li
2020 J jnl
A novel finite element method for the distributed-order time fractional Cable equation in two dimensions.
Comput. Math. Appl.
Xinghua Gao, Fawang Liu, Hong Li, Yang Liu, Ian W. Turner, Baoli Yin
2020 J jnl
Analysis of a continuous Galerkin method with mesh modification for two-dimensional telegraph equation.
Comput. Math. Appl.
Zhihui Zhao, Hong Li, Yang Liu
2020 J jnl
Efficient shifted fractional trapezoidal rule for subdiffusion problems with nonsmooth solutions on uniform meshes.
CoRR
Baoli Yin, Yang Liu, Hong Li, Zhimin Zhang
2020 J jnl
Finite Element Methods Based on Two Families of Second-Order Numerical Formulas for the Fractional Cable Model with Smooth Solutions.
J. Sci. Comput.
Baoli Yin, Yang Liu, Hong Li, Zhimin Zhang
2020 J jnl
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.
Baoli Yin, Yang Liu, Hong Li
2020 J jnl
TT-M finite element algorithm for a two-dimensional space fractional Gray-Scott model.
Comput. Math. Appl.
Yang Liu, Enyu Fan, Baoli Yin, Hong Li, Jinfeng Wang
2019 J jnl
Fast algorithm based on TT-M FE system for space fractional Allen-Cahn equations with smooth and non-smooth solutions.
J. Comput. Phys.
Baoli Yin, Yang Liu, Hong Li, Siriguleng He
2019 J jnl
Finite element methods based on two families of novel second-order numerical formulas for the fractional Cable model.
CoRR
Baoli Yin, Yang Liu, Hong Li, Zhimin Zhang
2019 J jnl
Some second-order ϴ schemes combined with finite element method for nonlinear fractional cable equation.
Numer. Algorithms
Yang Liu, Yanwei Du, Hong Li, Fawang Liu, Yajun Wang
2019 J jnl
The unified theory of shifted convolution quadrature for fractional calculus.
CoRR
Yang Liu, Baoli Yin, Hong Li, Zhimin Zhang
2019 J jnl
Two families of novel second-order fractional numerical formulas and their applications to fractional differential equations.
CoRR
Baoli Yin, Yang Liu, Hong Li, Zhimin Zhang
2018 J jnl
Time second-order finite difference/finite element algorithm for nonlinear time-fractional diffusion problem with fourth-order derivative term.
Comput. Math. Appl.
Nan Liu, Yang Liu, Hong Li, Jinfeng Wang
2017 J jnl
A MFE method combined with L1-approximation for a nonlinear time-fractional coupled diffusion system.
Int. J. Model. Simul. Sci. Comput.
Yaxin Hou, Ruihan Feng, Yang Liu, Hong Li, Wei Gao
2017 J jnl
Analysis of a space-time continuous Galerkin method for convection-dominated Sobolev equations.
Comput. Math. Appl.
Zhihui Zhao, Hong Li, Zhendong Luo
2017 J jnl
High-order local discontinuous Galerkin method combined with WSGD-approximation for a fractional subdiffusion equation.
Comput. Math. Appl.
Yang Liu, Min Zhang, Hong Li, Jichun Li
2017 J jnl
Local discontinuous Galerkin method for a nonlinear time-fractional fourth-order partial differential equation.
J. Comput. Phys.
Yanwei Du, Yang Liu, Hong Li, Zhichao Fang, Siriguleng He
2017 J jnl
Second-order approximation scheme combined with H
Comput. Math. Appl.
Jinfeng Wang, Tianqi Liu, Hong Li, Yang Liu, Siriguleng He
2015 J jnl
A new expanded mixed method for parabolic integro-differential equations.
Appl. Math. Comput.
Yang Liu, Zhichao Fang, Hong Li, Siriguleng He, Wei Gao
2015 J jnl
A two-grid mixed finite element method for a nonlinear fourth-order reaction-diffusion problem with time-fractional derivative.
Comput. Math. Appl.
Yang Liu, Yanwei Du, Hong Li, Jichun Li, Siriguleng He
2015 J jnl
Finite difference/finite element method for a nonlinear time-fractional fourth-order reaction-diffusion problem.
Comput. Math. Appl.
Yang Liu, Yanwei Du, Hong Li, Siriguleng He, Wei Gao
2014 J jnl
A New Characteristic Expanded mixed method for Sobolev equation with convection Term.
Int. J. Model. Simul. Sci. Comput.
Yang Liu, Hong Li, Siriguleng He, Zhichao Fang, Jinfeng Wang
2014 J jnl
A mixed finite element method for a time-fractional fourth-order partial differential equation.
Appl. Math. Comput.
Yang Liu, Zhichao Fang, Hong Li, Siriguleng He
2014 J jnl
Application of low-dimensional finite element method to fractional diffusion equation.
Int. J. Model. Simul. Sci. Comput.
Jincun Liu, Hong Li, Zhichao Fang, Yang Liu
2014 J jnl
Fully discrete two-step mixed element method for the symmetric regularized long wave equation.
Int. J. Model. Simul. Sci. Comput.
Meng Zhao, Yang Liu, Hong Li
2013 J jnl
A Novel Characteristic Expanded Mixed Method for Reaction-Convection-Diffusion Problems.
J. Appl. Math.
Yang Liu, Hong Li, Wei Gao, Siriguleng He, Zhichao Fang
2013 J jnl
A reduced-order Crank-Nicolson finite volume element formulation based on POD method for parabolic equations.
Appl. Math. Comput.
Zhendong Luo, Hong Li, Ping Sun
2013 J jnl
A reduced-order finite volume element formulation based on POD method and numerical simulation for two-dimensional solute transport problems.
Math. Comput. Simul.
Zhendong Luo, Hong Li, Ping Sun, Jing An, Ionel Michael Navon
2013 J jnl
Analysis of mixed finite element methods for fourth-order wave equations.
Comput. Math. Appl.
Siriguleng He, Hong Li, Yang Liu
2012 J jnl
A New Positive Definite Expanded Mixed Finite Element Method for Parabolic Integrodifferential Equations.
J. Appl. Math.
Yang Liu, Hong Li, Jinfeng Wang, Wei Gao
2012 J jnl
An oscillation-free high order TVD/CBC-based upwind scheme for convection discretization.
Numer. Algorithms
Wei Gao, Hong Li, Yang Liu, Yong-Jun Jian
2012 J jnl
Corrigendum to "H
Appl. Math. Comput.
Yang Liu, Hong Li
2009 J jnl
H
Appl. Math. Comput.
Yang Liu, Hong Li