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
收藏
页码：1123 / 1130
页数：8
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