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 ...
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...
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...
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...
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...
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...
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...
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 ...
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...
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...
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...
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...
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 ...
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...
MATHEMATICAL SCIENCESLi, Lin Chen, Zhong Du, Hong Jiang, Wei Zhang, Biao 出版年：2024
A novel adaptive meshless numerical method for tackling with the two-dimensional time fractional telegraph equations on arbitrary domains based on partitioning domains is presented in this paper. The proposed approach ha...
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 ...
NUMERICAL ALGORITHMSLi, Lin Chen, Zhong Du, Hong Jiang, Wei Zhang, Biao 出版年：2025
A stable meshless method by constructing novel fractional spaces and fractional Chebyshev polynomials dense sets is developed. The proposed approach could excellently resolve 2D nonlinear Riesz space distributed order re...
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...
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 ...
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...
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 ...
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-...
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