摘要
提出一种新的解决积分微分方程组非局部边值问题的再生核数值方法.该方法的主要思想是通过在再生核空间中构造一组勒让德多尺度正交基去近似逼近原方程组的解.在定义ε-近似解的基础上,结合配置法获得了积分微分方程组非局部边值问题的近似解,并给出该方法的收敛性和误差估计.数值实验的结果证明了文章方法是有效的.
In this paper,a new reproducing kernel numerical method for solving nonlocal boundary value problem for systems of integro-differential equations is presented.The main idea of this method is to approximate the solution of the mentioned systems of equations by constructing a set of Legendre wavelet bases in the reproducing kernel space.On the basis of defining theε-approximate solution,combined with the collocation method,the approximate solution of systems of integro-differential equations with nonlocal boundary value is obtained.The convergence of this method and the error estimation are given.The results of numerical experiments show that the method is effective.
作者
刘畅
周永芳
Liu Chang;Zhou Yongfang(Hebei University of Technology)
出处
《哈尔滨师范大学自然科学学报》
CAS
2023年第1期1-8,共8页
Natural Science Journal of Harbin Normal University
关键词
再生核数值方法
非局部边值问题
积分微分方程组
勒让德多尺度正交基
配置法
Reproducing kernel numerical method
Nonlocal boundary value problem
Systems of integro-differential equations
Legendre multiscale orthogonal basis
Collocation method