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。
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.
作者
杨谨僮
YANG Jintong(School of Mathematics and Information,West China Normal University,Nanchong 637002,China)
出处
《西安航空学院学报》
2024年第1期86-89,共4页
Journal of Xi’an Aeronautical Institute
作者简介
杨谨僮(1997-),女,四川达州人,硕士研究生,主要从事积分方程的数值解研究。
