Theoretical investigation on error analysis of Sinc approximation for mixed Volterra-Fredholm integral equation

被引：0
作者：
H. Mesgarani
R. Mollapourasl
机构：
[1] Shahid Rajaee Teacher Training University Lavizan,School of Mathematics
来源：
Computational Mathematics and Mathematical Physics | 2013年 / 53卷
关键词：
integral equation; mixed Volterra-Fredholm type; collocation method; Sinc quadrature;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this study, we propose one of the new techniques used in solving numerical problems involving integral equations known as the Sinc-collocation method. This method has been shown to be a powerful numerical tool for finding fast and accurate solutions. So, in this article, a mixed Volterra-Fredholm integral equation which has been appeared in many science an engineering phenomena is discredited by using some properties of the Sinc-collocation method and Sinc quadrature rule to reduce integral equation to some algebraic equations. Then exponential convergence rate of this numerical technique is discussed by preparing a theorem. Finally, some numerical examples are included to demonstrate the validity and applicability of the convergence theorem and numerical scheme.
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页码：530 / 539
页数：9
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