许小勇｜东华理工大学｜学者主页

2026

基于3-尺度Legendre小波的微分方程特征值问题数值解

秦玺鹏，许小勇，汤思颖

《井冈山大学学报(自然科学版)》

2026

A hybrid Legendre and improved block-pulse functions method for fourth-order nonlinear differential equations with integral boundary conditions

Xiao-Yong Xu, Si-Ying Tang, Xi-Peng Qin

Physica Scripta

DOI

2025

An improved method based on scale-3 Haar wavelets for solving Bagley-Torvik equations concerning Caputo-Fabrizio derivative

Xiao-Yong Xu, Qinyi Lou

Physica Scripta

DOI

2024

高阶Haar小波方法求解一类Caputo-Fabrizio分数阶微分方程

楼钦艺，许小勇，何通森，朱婷

《江西科学》

2024

分数次Chebyshev小波结合SA算法求解分数阶微分方程数值解

许小勇，何通森，楼钦艺，朱婷

《广西大学学报(自然科学版)》

2023

分数阶微分方程的二维三尺度第3类Chebyshev小波法

周凤英，何红梅，朱合欢，许小勇，胡康秀

《广西大学学报(自然科学版)》

2023

第六类正交Chebyshev多项式混合Block-Pulse函数求解分数阶Lane-Emden微分方程

黄英杰，周凤英，许小勇

《数值计算与计算机应用》

2023

第六类Chebyshev小波配置法求分数阶微分方程数值解

黄英杰，周凤英，许小勇，何红梅

《广西师范大学学报(自然科学版)》

2023

Fractional-order hybrid functions combining simulated annealing algorithm for solving fractional pantograph differential equations

Feng-Ying Zhou, Xiao-Yong Xu

Journal of Computer Science

DOI

2022

三阶Emden-Fowler型微分方程的第4类Chebyshev混合函数数值解法

熊临晨，许小勇，朱婷

《江西科学》

2022

最速降线问题的3-尺度正交Euler小波方法

朱婷，许小勇，朱合欢

《数学的实践与认识》

2022

Chebyshev wavelet-Picard technique for solving fractional nonlinear differential equations

Xiao-Yong Xu, Feng-Ying Zhou

International journal of nonlinear sciences and numerical simulation

DOI

2022

Orthonormal Euler wavelets method for time-fractional Cattaneo equation with Caputo-Fabrizio derivative

Xiao-Yong Xu, Feng-Ying Zhou

AIMS Mathematics

DOI

2021

Solving fractional optimal control problems with inequality constraints by a new kind of Chebyshev wavelets method

Xiao-Yong Xu, Linchen Xiong, Feng-Ying Zhou

Journal of Computer Science

DOI

2020

非局部守恒条件下波动方程数值解的Chebyshev小波方法

许小勇，周凤英，徐志刚

《数学的实践与认识》

DOI

2020

具有非局部条件的时间分数阶热传导方程的Chebyshev小波数值方法

许小勇，熊临晨

《东华理工大学学报(自然科学版)》

2020

Crank-Nicolson orthogonal spline collocation method combined with WSGI difference scheme for the two-dimensional time-fractional diffusion-wave equation

Xiao-Yong Xu, Feng-Ying Zhou

DOI

2019

一类具有弱奇异核的偏积分微分方程的Chebyshev小波数值方法（英文）

许小勇，周凤英，谢宇

《应用数学》

DOI

2019

分数阶偏微分方程的Legendre小波与正交样条配置法

许小勇

《湖南师范大学》

2019

A high-order numerical scheme using orthogonal spline collocation for solving the two-dimensional fractional reaction–subdiffusion equation

Xiao-Yong Xu, Da Xu

Advances in Differential Equations

DOI

2018

分数阶弱奇异积分微分方程数值解的Legendre小波方法

许小勇，饶智勇，樊继秋

《河北师范大学学报(自然科学版)》

2018

应用第二类Chebyshev小波求解高阶多点边值问题的数值解（英文）

周凤英，许小勇

《数学杂志》

2018

Numerical integration method for triple integrals using the second kind Chebyshev wavelets and Gauss–Legendre quadrature

Feng-Ying Zhou, Xiao-Yong Xu, Xijing Zhang

DOI

2018

A semi-discrete scheme for solving fourth-order partial integro-differential equation with a weakly singular kernel using Legendre wavelets method

Xiao-Yong Xu, Da Xu

Computational and Applied Mathematics

DOI

2018

Legendre Wavelets Direct Method for the Numerical Solution of Time-Fractional Order Telegraph Equations

Xiao-Yong Xu, Da Xu

DOI

2018

Numerical solution of fractional Volterra-Fredholm integro-differential equations with mixed boundary conditions via Chebyshev wavelet method

Feng-Ying Zhou, Xiao-Yong Xu

International Journal of Computational Mathematics

DOI

2018

THE APPLICATION OF THE SECOND KIND CHEBYSHEV WAVELETS FOR SOLVING HIGH-ODER MULTI-POINT BOUNDARY VALUE PROBLEMS

Feng-Ying Zhou, Xiao-Yong Xu

2018

Legendre wavelets method for approximate solution of fractional-order differential equations under multi-point boundary conditions

Xiao-Yong Xu, Da Xu

International Journal of Computational Mathematics

DOI

2017

Numerical Solution of Time-Fractional Diffusion-Wave Equations via Chebyshev Wavelets Collocation Method

Feng-Ying Zhou, Xiao-Yong Xu

DOI

2016

第三类和第四类Chebyshev小波积分算子矩阵及其在数值积分中的应用

许小勇，周凤英

《应用数学》

2016

利用第二类Chebyshev小波求二阶常微分方程组边值问题的数值解

周凤英，许小勇

《数学的实践与认识》

2016

Numerical solutions for the linear and nonlinear singular boundary value problems using Laguerre wavelets

Feng-Ying Zhou, Xiao-Yong Xu

DOI

2016

The third kind Chebyshev wavelets collocation method for solving the time-fractional convection diffusion equations with variable coefficients

Feng-Ying Zhou, Xiao-Yong Xu

Applied Mathematics and Computation

DOI

2015

利用Legendre小波及算子矩阵求定积分的数值逼近

周凤英，许小勇

《应用数学学报》

2015

Numerical Solutions for the Eighth-Order Initial and Boundary Value Problems Using the Second Kind Chebyshev Wavelets

Xiao-Yong Xu, Feng-Ying Zhou

DOI

2014

Numerical solution of the convection diffusion equations by the second kind Chebyshev wavelets

Feng-Ying Zhou, Xiao-Yong Xu

Applied Mathematics and Computation

DOI

2006

Construction and Realization of Cubic Spline Interpolation Function

Xiao-Yong Xu, Taifeng Zhong

精选作品

期刊论文

基于3-尺度Legendre小波的微分方程特征值问题数值解

A hybrid Legendre and improved block-pulse functions method for fourth-order nonlinear differential equations with integral boundary conditions

An improved method based on scale-3 Haar wavelets for solving Bagley-Torvik equations concerning Caputo-Fabrizio derivative

高阶Haar小波方法求解一类Caputo-Fabrizio分数阶微分方程

分数次Chebyshev小波结合SA算法求解分数阶微分方程数值解

分数阶微分方程的二维三尺度第3类Chebyshev小波法

第六类正交Chebyshev多项式混合Block-Pulse函数求解分数阶Lane-Emden微分方程

第六类Chebyshev小波配置法求分数阶微分方程数值解

Fractional-order hybrid functions combining simulated annealing algorithm for solving fractional pantograph differential equations

三阶Emden-Fowler型微分方程的第4类Chebyshev混合函数数值解法

最速降线问题的3-尺度正交Euler小波方法

Chebyshev wavelet-Picard technique for solving fractional nonlinear differential equations

Orthonormal Euler wavelets method for time-fractional Cattaneo equation with Caputo-Fabrizio derivative

Solving fractional optimal control problems with inequality constraints by a new kind of Chebyshev wavelets method

非局部守恒条件下波动方程数值解的Chebyshev小波方法

具有非局部条件的时间分数阶热传导方程的Chebyshev小波数值方法

Crank-Nicolson orthogonal spline collocation method combined with WSGI difference scheme for the two-dimensional time-fractional diffusion-wave equation

一类具有弱奇异核的偏积分微分方程的Chebyshev小波数值方法（英文）

分数阶偏微分方程的Legendre小波与正交样条配置法

A high-order numerical scheme using orthogonal spline collocation for solving the two-dimensional fractional reaction–subdiffusion equation

分数阶弱奇异积分微分方程数值解的Legendre小波方法

应用第二类Chebyshev小波求解高阶多点边值问题的数值解（英文）

Numerical integration method for triple integrals using the second kind Chebyshev wavelets and Gauss–Legendre quadrature

A semi-discrete scheme for solving fourth-order partial integro-differential equation with a weakly singular kernel using Legendre wavelets method

Legendre Wavelets Direct Method for the Numerical Solution of Time-Fractional Order Telegraph Equations

Numerical solution of fractional Volterra-Fredholm integro-differential equations with mixed boundary conditions via Chebyshev wavelet method

THE APPLICATION OF THE SECOND KIND CHEBYSHEV WAVELETS FOR SOLVING HIGH-ODER MULTI-POINT BOUNDARY VALUE PROBLEMS

Legendre wavelets method for approximate solution of fractional-order differential equations under multi-point boundary conditions

Numerical Solution of Time-Fractional Diffusion-Wave Equations via Chebyshev Wavelets Collocation Method

第三类和第四类Chebyshev小波积分算子矩阵及其在数值积分中的应用

利用第二类Chebyshev小波求二阶常微分方程组边值问题的数值解

Numerical solutions for the linear and nonlinear singular boundary value problems using Laguerre wavelets

The third kind Chebyshev wavelets collocation method for solving the time-fractional convection diffusion equations with variable coefficients

利用Legendre小波及算子矩阵求定积分的数值逼近

Numerical Solutions for the Eighth-Order Initial and Boundary Value Problems Using the Second Kind Chebyshev Wavelets

Numerical solution of the convection diffusion equations by the second kind Chebyshev wavelets

Construction and Realization of Cubic Spline Interpolation Function

研究方向