Chebyshev Collocation Methods for Volterra Integro-differential Equations of Pantograph Type

被引：0

作者：

Ji, Tianfu ^{[1
]}

Hou, Jianhua ^{[2
]}

Yang, Changqing ^{[2
]}

机构：

[1] Liangyungang Tech Coll, Dept Sci, Liangyungang 222000, Jiangsu, Peoples R China

[2] Jiangsu Ocean Univ, Dept Sci, Lianyungang 222005, Jiangsu, Peoples R China

来源：

ENGINEERING LETTERS | 2021年 / 29卷 / 03期

关键词：

Volterra integro-differential equation; Chebyshev polynomial; Collocation method; Operational matrix; RUNGE-KUTTA METHODS; DIFFERENTIAL EQUATIONS; INTEGRAL-EQUATIONS; NUMERICAL-ANALYSIS; CONVERGENCE;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A numerical scheme based upon the Chebyshev polynomials and collocation method is modified and developed to deal with a class of Volterra integro-differential equations. First, we construct the operational matrices of derivative and pantograph. Then these obtained matrices are then utilized to convert the problems to a system of algebraic equations. Furthermore, we establish a detailed convergence analysis in the weighted square norm. Finally, three numerical experiments are implemented and discussed to confirm the applicability and accuracy of the introduced computational scheme.

引用

页码：1123 / 1130

页数：8