曹建雄｜兰州理工大学｜学者主页

2026

High-order time stepping scheme based on convolution quadrature and its analysis for the time fractional Cattaneo equation with singular source terms and nonsmooth data

Jianxiong Cao, Pradip Roul

Journal of Computational and Applied Mathematics

DOI

2025

Finite Element Analysis of a Time-Fractional Damped Wave Equation

Jianxiong Cao, Mariam Al-Maskari

Journal of Scientific Computing

DOI

2025

A Primal-Dual Splitting Algorithm with Convex Combination and Larger Step Sizes for Composite Monotone Inclusion Problems

Xiaokai Chang, Junfeng Yang, Jianchao Bai, Jianxiong Cao

SIAM Journal on Imaging Sciences

DOI

2025

Optimized tailored finite point scheme for time-fractional burgers’ equations with sharp solution transitions

Jianxiong Cao, Yihong Wang

Journal of Applied Mathematics and Computing

DOI

2025

H1-norm error analysis of an ADI compact finite difference method for a two-dimensional time-fractional reaction-diffusion equation with variable coefficients

Pradip Roul, Sameer N. Khandagale, Jianxiong Cao

Computers & Mathematics with Applications

DOI

2025

A high order numerical method for 2D time-fractional neutron diffusion equation characterizing neutron transport in nuclear reactors

Jianxiong Cao, Xiaodong Zhao, Pradip Roul

Nuclear Engineering and Design

DOI

2025

PINN neural network method for solving the forward and inverse problem of time-fractional telegraph equation

Fan Yang, Hao Liu, Xiao-Xiao Li, Jianxiong Cao

Results in Engineering

DOI

2025

Error analysis of a high-order compact ADI scheme for 2D time-fractional convection-diffusion equation with weakly singular solutions

Jianxiong Cao, Yuexin Xing

Electronic Research Archive

DOI

2025

TWO IMPLICIT–EXPLICIT DIFFERENCE SCHEMES FOR A TIME-FRACTIONAL VISCOUS WAVE EQUATION ARISING IN GEOPHYSICS

Jianxiong Cao, SHIYONG LI

Fractals

DOI

2024

A splitting preconditioned primal-dual algorithm with interpolation and extrapolation for bilinear saddle point problem

Xiaokai Chang, Long Xu, Jianxiong Cao

Numerical Algorithms

DOI

2024

Adaptive-coefficient finite difference frequency domain method for time fractional diffusive-viscous wave equation arising in geophysics

Jianxiong Cao, Wenhao Xu

Applied Mathematics Letters

DOI

2024

High-Order BDF Convolution Quadrature for Fractional Evolution Equations with Hyper-singular Source Term

Jiankang Shi, Minghua Chen, Jianxiong Cao

Journal of Scientific Computing

DOI

2024

Threshold dynamics scenario of a plants-pollinators cooperative system with impulsive effect on a periodically evolving domain

Jie Wang, Jie Wang, Ruirui Yang, Jian Wang, Jian Wang, Jianxiong Cao

European Journal of Applied Mathematics

DOI

2024

Adaptive-Coefficient Finite Difference Frequency Domain Method for Solving Time-Fractional Cattaneo Equation with Absorbing Boundary Condition

Wenhao Xu, Jing Ba, Jianxiong Cao, Cong Luo

Fractal and Fractional

DOI

2024

Finite-difference frequency-domain method with QR-decomposition-based complex-valued adaptive coefficients for 3D diffusive viscous wave modelling

Wenhao Xu, Jing Ba, Shaoru Wang, Haixia Zhao, Chunfang Wu, Jianxiong Cao, Xu Liu

Journal of Geophysics and Engineering

DOI

2022

高等数学课程教学中创新能力培养的实践探索——以引入分数阶微积分为例

曹建雄

《科技风》

2022

Correction of High-Order $$L_k$$ Approximation for Subdiffusion

Jiankang Shi, Minghua Chen, Yubin Yan, Jianxiong Cao

Journal of Scientific Computing

DOI

2022

Fast Compact Difference Scheme for Solving the Two-Dimensional Time-Fractional Cattaneo Equation

Lijuan Nong, Qian Yi, Jianxiong Cao, An Chen

Fractal and Fractional

DOI

2022

Local Discontinuous Galerkin Method Coupled with Nonuniform Time Discretizations for Solving the Time-Fractional Allen-Cahn Equation

Zhen Wang, Luhan Sun, Jianxiong Cao

Fractal and Fractional

DOI

2022

Spatially singular solutions for Klein–Gordon–Schrödinger system

Qihong Shi, Yaqian Jia, Jianxiong Cao

Applied Mathematics Letters

DOI

2021

A tailored finite point method for subdiffusion equation with anisotropic and discontinuous diffusivity

Yihong Wang, Jianxiong Cao

Applied Mathematics and Computation

DOI

2021

Error estimates for a robust finite element method of two-term time-fractional diffusion-wave equation with nonsmooth data

Lijuan Nong, An Chen, Jianxiong Cao

Mathematical Modelling of Natural Phenomena

DOI

2020

Tailored finite point method for time fractional convection dominated diffusion problems with boundary layers

Yihong Wang, Jianxiong Cao, Jun‐Liang Fu

Mathematical Methods in the Applied Sciences

DOI

2020

Hidden hyperchaotic attractors in a new 4D fractional order system and its synchronization

Ke Li, Jianxiong Cao, Jin–Man He

Chaos An Interdisciplinary Journal of Nonlinear Science

DOI

2019

A limited-memory block bi-diagonal Toeplitz preconditioner for block lower triangular Toeplitz system from time–space fractional diffusion equation

Yong-Liang Zhao, Peiyong Zhu, Xian‐Ming Gu, Xi-Le Zhao, Jianxiong Cao

Journal of Computational and Applied Mathematics

DOI

2018

Blow-up and global solutions for a class of time fractional nonlinear reaction–diffusion equation with weakly spatial source

Jianxiong Cao, Guojie Song, Jie Wang, Qihong Shi, Sujing Sun

Applied Mathematics Letters

DOI

2018

Solutions induced from bright solitons for nucleon–meson model

Qihong Shi, Suqin Chang, Xiao‐Bing Zhang, Jianxiong Cao

Advances in Difference Equations

DOI

2016

A compact finite difference scheme for variable order subdiffusion equation

Jianxiong Cao, Yanan Qiu, Guojie Song

Communications in Nonlinear Science and Numerical Simulation

DOI

曹建雄

精选作品

期刊论文

High-order time stepping scheme based on convolution quadrature and its analysis for the time fractional Cattaneo equation with singular source terms and nonsmooth data

Finite Element Analysis of a Time-Fractional Damped Wave Equation

A Primal-Dual Splitting Algorithm with Convex Combination and Larger Step Sizes for Composite Monotone Inclusion Problems

Optimized tailored finite point scheme for time-fractional burgers’ equations with sharp solution transitions

H1-norm error analysis of an ADI compact finite difference method for a two-dimensional time-fractional reaction-diffusion equation with variable coefficients

A high order numerical method for 2D time-fractional neutron diffusion equation characterizing neutron transport in nuclear reactors

PINN neural network method for solving the forward and inverse problem of time-fractional telegraph equation

Error analysis of a high-order compact ADI scheme for 2D time-fractional convection-diffusion equation with weakly singular solutions

TWO IMPLICIT–EXPLICIT DIFFERENCE SCHEMES FOR A TIME-FRACTIONAL VISCOUS WAVE EQUATION ARISING IN GEOPHYSICS

A splitting preconditioned primal-dual algorithm with interpolation and extrapolation for bilinear saddle point problem

Adaptive-coefficient finite difference frequency domain method for time fractional diffusive-viscous wave equation arising in geophysics

High-Order BDF Convolution Quadrature for Fractional Evolution Equations with Hyper-singular Source Term

Threshold dynamics scenario of a plants-pollinators cooperative system with impulsive effect on a periodically evolving domain

Adaptive-Coefficient Finite Difference Frequency Domain Method for Solving Time-Fractional Cattaneo Equation with Absorbing Boundary Condition

Finite-difference frequency-domain method with QR-decomposition-based complex-valued adaptive coefficients for 3D diffusive viscous wave modelling

高等数学课程教学中创新能力培养的实践探索——以引入分数阶微积分为例

Correction of High-Order $$L_k$$ Approximation for Subdiffusion

Fast Compact Difference Scheme for Solving the Two-Dimensional Time-Fractional Cattaneo Equation

Local Discontinuous Galerkin Method Coupled with Nonuniform Time Discretizations for Solving the Time-Fractional Allen-Cahn Equation

Spatially singular solutions for Klein–Gordon–Schrödinger system

A tailored finite point method for subdiffusion equation with anisotropic and discontinuous diffusivity

Error estimates for a robust finite element method of two-term time-fractional diffusion-wave equation with nonsmooth data

Tailored finite point method for time fractional convection dominated diffusion problems with boundary layers

Hidden hyperchaotic attractors in a new 4D fractional order system and its synchronization

A limited-memory block bi-diagonal Toeplitz preconditioner for block lower triangular Toeplitz system from time–space fractional diffusion equation

Blow-up and global solutions for a class of time fractional nonlinear reaction–diffusion equation with weakly spatial source

Solutions induced from bright solitons for nucleon–meson model

A compact finite difference scheme for variable order subdiffusion equation

书籍章节

Stabilized numerical schemes for a droplet model based on a new Lagrange multiplier approach

研究方向