Jacobi谱配置法求解带弱奇异核的Volterra积分方程  

Jacobi Spectral Collocation Method for Volterra Integral Equations with a Weakly Singular Kernel

作　　者：王建雨 方春华[1] 张桂烽 WANG Jianyu;FANG Chunhua;ZHANG Guifeng(School of Mathematics,Hunan Institute of Science and Technology,Yueyang 414006,China)

机构地区：[1]湖南理工学院数学学院,湖南岳阳414006

出　　处：《湖南理工学院学报（自然科学版）》2023年第1期21-27,79,共8页Journal of Hunan Institute of Science and Technology(Natural Sciences)

基　　金：湖南省自然科学基金项目(2022JJ30276)。

摘　　要：研究采用Jacobi谱配置法的一般形式求解带有弱奇异核的Volterra积分方程,是对已有文献利用Jacobi谱配置法的特殊情况的延伸推广.利用数值实验对该方法进行仿真模拟,结果表明该方法是稳定收敛的,且具有较快的收敛速度和较高的收敛精度.In this paper,we research the general format of Jacobi spectral collocation method to solve the Volterra integral equation with a weakly singular kernel.It is an extension of the special case of the Jacobi spectral collocation method used in the existing literature.We use numerical experiments to simulate the proposed method,and the results show that the proposed method is stable and convergent,with fast convergence speed and high convergence accuracy.

关 键 词：Jacobi谱配置法 VOLTERRA积分方程 弱奇异核 

分 类 号：O241.83[理学—计算数学]