Symmetric Spectral Collocation Method for a Kind of Nonlinear Volterra Integral Equation

被引：2
|
作者：
Wu, Nada [1 ]
Zheng, Weishan [1 ]
Gao, Wenjuan [1 ]
机构：
[1] Hanshan Normal Univ, Coll Math & Stat, Chaozhou 521041, Peoples R China
来源：
SYMMETRY-BASEL | 2022年 / 14卷 / 06期
关键词：
nonlinear delay Volterra integral equation; weak singularity; spectral method; convergence analysis; POLYNOMIAL-APPROXIMATION; CONVERGENCE ANALYSIS;
D O I：
10.3390/sym14061091
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we develop an efficient spectral method for numerically solving the nonlinear Volterra integral equation with weak singularity and delays. Based on the symmetric collocation points, the spectral method is illustrated, and the convergence results are obtained. In the end, two numerical experiments are carried out to confirm the theoretical results.
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页数：12
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