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- A stable least residue method in reproducing kernel space for solving a nonlinear fractional integro-differential equation with a weakly singular kernel
- APPLIED NUMERICAL MATHEMATICSDu, Hong Chen, Zhong Yang, Tiejun 出版年：2020
- A stable least residue method for solving a nonlinear fractional integro-differential equation with a weakly singular kernel in the reproducing kernel space is proposed. To solve the equation, the multiwavelets bases in ...
- A meshless method in reproducing kernel space for solving variable-order time fractional advection-diffusion equations on arbitrary domain
- APPLIED MATHEMATICS LETTERSDu, Hong Chen, Zhong Yang, Tiejun 出版年：2021
- In this paper, a meshless method in reproducing kernel space is proposed for solving VOTFA-DE on arbitrary domain. Advantages of the meshless method proposed could avoid effectively difficulties of constructing shape fun...
- A new reproducing kernel method with higher convergence order for solving a Volterra-Fredholm integral equation
- APPLIED MATHEMATICS LETTERSDu, Hong Chen, Zhong 出版年：2020
- In the paper, linear Volterra-Fredholm integral equations of the second kind are considered in a reproducing kernel space. The approximate solution is gotten by constructing a uniquely solvable system of linear algebraic...
- A generalized collocation method in reproducing kernel space for solving a weakly singular Fredholm integro-differential equations
- APPLIED NUMERICAL MATHEMATICSZhang, Xiaoguang Du, Hong 出版年：2020
- A generalized collocation method for solving a weakly singular Fredholm integro-differential equation with Kalman kernel is proposed in reproducing kernel space. To obtain the generalized collocation method, the multiwav...
- A new reproducing kernel method for Duffing equations
- INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICSChen, Zhong Jiang, Wei Du, Hong 出版年：2021
- Reproducing kernel theories have attracted much attention for solving various problems. However, discussions of stability and convergence order are very difficult in the traditional reproducing kernel method by orthogona...
- A new meshless method of solving 2D fractional diffusion-wave equations
- APPLIED MATHEMATICS LETTERSDu, Hong Chen, Zhong 出版年：2022
- In this paper, our important contributions are to provide the key of theories that the set of polynomial functions is dense in C-2(Omega). Based on the theories, we propose the block meshless method and use it to solve 2...
- Adaptive meshless numerical method of solving 2D variable order time fractional mobile-immobile advection-diffusion equations
- COMPUTERS & MATHEMATICS WITH APPLICATIONSDu, Hong Chen, Zhong 出版年：2022
- This paper inspires us to propose an adaptive meshless numerical method of solving a 2D variable order time fractional mobile-immobile advection-diffusion equation on arbitrary domain. The mentioned method has three main...
- Meshless method of solving multi-term time-fractional integro-differential equation
- APPLIED MATHEMATICS LETTERSDu, Hong Yang, Xinyue Chen, Zhong 出版年：2023
- In this paper, we proposed a new meshless method of solving the minimum residual approximate (MRA) solution for multi-term time-fractional integro-differential equation (MTFIDE). The theory of polynomial functions dense ...
- New reproducing kernel Chebyshev wavelets method for solving a fractional telegraph equation
- COMPUTATIONAL & APPLIED MATHEMATICSShi, Duanyin Du, Hong 出版年：2021
- In this paper, a new reproducing kernel Chebyshev wavelets method of solving a fractional telegraph equation is proposed. For solving the equation, reproducing kernel Chebyshev wavelets bases is constructed based on Cheb...
- A new method of solving the best approximate solution for a nonlinear fractional equation
- INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICSDu, Hong Yang, Xinyue Chen, Zhong 出版年：2023
- A new method of solving the best approximate solution for nonlinear fractional equations with smooth and nonsmooth solutions in reproducing kernel space is proposed in the paper. The nonlinear equation outlines some impo...
- A meshless approach based on fractional interpolation theory and improved neural network bases for solving non-smooth solution of 2D fractional reaction-diffusion equation with distributed order
- COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATIONLi, Lin Chen, Zhong Du, Hong Jiang, Wei Zhang, Biao 出版年：2024
- The primary objective of this research paper is to present a novel and effective meshless numerical approach for solving the 2D time fractional reaction diffusion system with distributed order on an arbitrary domain. Gau...
- An improved collocation method for solving a fractional integro-differential equation
- COMPUTATIONAL & APPLIED MATHEMATICSZhang, Xiaoguang Du, Hong 出版年：2021
- In the paper, an improved collocation method is proposed for solving a linear fractional integro-differential equation. The method is proposed by improving the residual to vanish and require the residual to the minimum i...
- Image reconstruction based on improved block compressed sensing
- COMPUTATIONAL & APPLIED MATHEMATICSDu, Hong Lin, Huixian 出版年：2022
- Compressed sensing (CS) technique can sample and compress simultaneously. Since an image contains a huge amount of information, block CS (BCS) technique has appeared. This technique can divide image signals into non-over...
- A New Method for Solving the Distributed-Order Time-Fractional Mobile-Immobile Equations
- SSRNDu, Hong Yang, Xinyue Chen, Zhong 出版年：2023
- A new method is proposed for solving the distributed-order time-fractional mobile-immobile equation (TFM-IME) with three spatial variables. This new method compromises neural network’s huge expressive power and advantage...
- A new method of solving the Riesz fractional advection–dispersion equation with nonsmooth solution
- Applied Mathematics LettersDu, Hong Chen, Zhong 出版年：2024
- The Riesz fractional advection–dispersion equation with weak singularities at boundaries is solved. Our important contributions are to propose a new approach, construct successfully the fractional polynomial approximate ...
- A New Method of Solving the Time-Fractional Mixed Nonlinear Diffusion and Diffusion-Wave Equation
- SSRNDu, Hong Yang, Xinyue Chen, Zhong 出版年：2023
- It's well known that the meshless method is an effective method for solving fractional differential equations on different types of regular or irregular domains. However, some common functions are often defined on rectan...
- Effective superpixel sparse representation classification method with multiple features and L 0smoothing for hyperspectral images
- Journal of Applied Remote SensingLin, Huixian Du, Hong Zhang, Xiaoguang 出版年：2023
- In the field of remote sensing, hyperspectral image (HSI) classification is a widely used technique. Recently, there has been an increasing focus on utilizing superpixels for HSI classification. However, noise pixels in ...
- A Meshless Approach Based on Fractional Interpolation Theory and Improved Neural Network Bases for Solving Non-Smooth Solution of 2d Fractional Reaction-Diffusion Equation with Distributed Order
- SSRNLi, Lin Chen, Zhong Du, Hong Jiang, Wei Zhang, Biao 出版年：2023
- The primary objective of this research paper is to present a novel and effective meshless numerical approach for solving the 2D time fractional reaction diffusion system with distributed order on arbitrary domain. Gauss-...
