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Sinc Collocation Solutions for the Integral Algebraic Equation of Index-1

Part of: Numerical analysis: Ordinary differential equations

Published online by Cambridge University Press:  08 July 2016

Jingjun Zhao ,
Yang Cao  and
Yang Xu
Jingjun Zhao*
Affiliation:
Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China
Yang Cao
Affiliation:
Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China
Yang Xu*
Affiliation:
Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China
*
*Corresponding author. Email:[email protected] (J. J. Zhao), [email protected] (Y. Xu)
*Corresponding author. Email:[email protected] (J. J. Zhao), [email protected] (Y. Xu)
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Abstract

In this article, Sinc collocation method is considered to obtain the numerical solution of integral algebraic equation of index-1 by reducing it to an explicit system of algebraic equation. It is shown that Sinc collocation solution can produce an error of order . Moreover, Sinc method is applied to several examples to illustrate the accuracy and implementation of the method.

Keywords

Integral algebraic equation of index-1Sinc methodexponential convergence

MSC classification

Secondary: 65L20: Stability and convergence of numerical methods
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 8 , Issue 5 , October 2016 , pp. 757 - 771
Copyright
Copyright © Global-Science Press 2016 

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