Sinc collocation solutions for the integral algebraic equation of index-1

Jingjun Zhao; Yang Cao; Yang Xu

doi:10.4208/aamm.2014.m828

Sinc collocation solutions for the integral algebraic equation of index-1

Jingjun Zhao
, Yang Cao
, Yang Xu^*

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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 ο(√Ne^-k√N). Moreover, Sinc method is applied to several examples to illustrate the accuracy and implementation of the method.

Original language	English
Pages (from-to)	757-771
Number of pages	15
Journal	Advances in Applied Mathematics and Mechanics
Volume	8
Issue number	5
DOIs	https://doi.org/10.4208/aamm.2014.m828
State	Published - 1 Oct 2016

Keywords

Exponential convergence
Integral algebraic equation of index-1
Sinc method

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title = "Sinc collocation solutions for the integral algebraic equation of index-1",

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 ο(√Ne-k√N). Moreover, Sinc method is applied to several examples to illustrate the accuracy and implementation of the method.",

keywords = "Exponential convergence, Integral algebraic equation of index-1, Sinc method",

author = "Jingjun Zhao and Yang Cao and Yang Xu",

note = "Publisher Copyright: {\textcopyright} 2016 Global Science Press.",

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AU - Zhao, Jingjun

AU - Cao, Yang

AU - Xu, Yang

PY - 2016/10/1

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N2 - 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 ο(√Ne-k√N). Moreover, Sinc method is applied to several examples to illustrate the accuracy and implementation of the method.

AB - 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 ο(√Ne-k√N). Moreover, Sinc method is applied to several examples to illustrate the accuracy and implementation of the method.

KW - Exponential convergence

KW - Integral algebraic equation of index-1

KW - Sinc method

UR - https://www.scopus.com/pages/publications/84977526667

U2 - 10.4208/aamm.2014.m828

DO - 10.4208/aamm.2014.m828

M3 - 文章

AN - SCOPUS:84977526667

SN - 2070-0733

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SP - 757

EP - 771

JO - Advances in Applied Mathematics and Mechanics

JF - Advances in Applied Mathematics and Mechanics

IS - 5

ER -

Sinc collocation solutions for the integral algebraic equation of index-1

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Keywords

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