西安航空学院学报2024,Vol.42Issue(1) :86-89.DOI:10.20096/j.xhxb.1008-9233.2024.01.015

Boubaker多项式配置法求解混合线性积分方程

Boubaker Polynomial Collocation Method for Solving Mixed Linear Integral Equations

杨谨僮
西安航空学院学报2024,Vol.42Issue(1) :86-89.DOI:10.20096/j.xhxb.1008-9233.2024.01.015

Boubaker多项式配置法求解混合线性积分方程

Boubaker Polynomial Collocation Method for Solving Mixed Linear Integral Equations

杨谨僮1
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作者信息

  • 1. 西华师范大学数学与信息学院,四川南充 637002
  • 折叠

摘要

使用Boubaker多项式配置法求解混合线性积分方程的近似解.以Boubaker多项式为基函数,对未知函数用Boubaker多项式进行线性表示,将积分方程转化为一组线性代数方程,求解该方程组,得到积分方程的近似解.算例验证表明Boubaker多项式配置法求解混合线性积分方程具有可行性和有效性.该方法可以延展到求解二维的线性Volterra-Fredholm积分方程中.

Abstract

Boubaker polynomial configuration method is used to solve approximate solutions of mixed linear integral equations.Taking Boubaker polynomial as the basis function,the unknown function is linearly represented by Boubaker polynomial,the integral equation is transformed into a set of linear algebraic equations,and the approximate solution of the integral equation is obtained.The results show that Boubaker polynomial configuration method is feasible and effective for solving mixed linear integral equations,and this method can be extended to solve linear Volterra-Fredholm integral equations in two dimensions.

关键词

Boubaker多项式配置法/混合线性积分方程/代数方程组

Key words

Boubaker polynomial collocation method/mixed linear integral equation/algebraic equation

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出版年

2024
西安航空学院学报
西安航空技术高等专科学校

西安航空学院学报

影响因子:0.351
ISSN:1008-9233
参考文献量6
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