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

Sinc Collocation Solutions for the Integral Algebraic Equation of Index-1
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Year:    2016

Author:    Jingjun Zhao, Yang Cao, Yang Xu

Advances in Applied Mathematics and Mechanics, Vol. 8 (2016), Iss. 5 : pp. 757–771

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 $\mathcal{O}(√Ne^{−k√N})$. Moreover, Sinc method is applied to several examples to illustrate the accuracy and implementation of the method.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.2014.m828

Advances in Applied Mathematics and Mechanics, Vol. 8 (2016), Iss. 5 : pp. 757–771

Published online:    2016-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    Integral algebraic equation of index-1 Sinc method exponential convergence.

Author Details

Jingjun Zhao

Yang Cao

Yang Xu

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