Convergence of the Sinc method applied to Volterra integral equations

被引：0

作者：

Zarebnia, M. ^{[1
]}

Rashidinia, J. ^{[2
]}

机构：

[1] Univ Mohaghegh Ardabili, Dept Math, Ardebil 5619911367, Iran

[2] Iran Univ Sci & Technol, Sch Math, Tehran 16844, Iran

来源：

APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL | 2010年 / 5卷 / 01期

关键词：

Volterra; Linear; Nonlinear; Collocation; Sinc function; Exponential Convergence;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A collocation procedure is developed for the linear and nonlinear Volterra integral equations, using the globally defined Sinc and auxiliary basis functions. We analytically show the exponential convergence of the Sinc collocation method for approximate solution of Volterra integral equations. Numerical examples are included to confirm applicability and justify rapid convergence of our method.

引用

页码：198 / 216

页数：19

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