Fast and precise spectral method for solving pantograph type Volterra integro-differential equations

被引：51

作者：

Ezz-Eldien, S. S. ^{[1
]}

Doha, E. H. ^{[2
]}

机构：

[1] Assiut Univ, Dept Math, Fac Sci, New Valley Branch, El Kharja 72511, Egypt

[2] Cairo Univ, Dept Math, Fac Sci, Giza, Egypt

来源：

NUMERICAL ALGORITHMS | 2019年 / 81卷 / 01期

关键词：

Operational matrix; Chebyshev polynomials; Collocation method; Pantograph differential equations; Volterra integro-differential equations; STABILITY;

D O I：

10.1007/s11075-018-0535-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper focuses on studying a general form of pantograph type Volterra integro-differential equations (PVIDEs). We apply a new collocation spectral approach, based on shifted Chebyshev polynomials, for converting such PVIDEs into systems of algebraic equations. In addition, we apply the new spectral approach for systems of pantograph type Volterra integro-differential equations (SPVIDEs). We investigate the error analysis of the proposed numerical approach. Also, we present some comparisons with other spectral approaches for clarifying the superiority of the new spectral approach.

引用

页码：57 / 77

页数：21

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