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Volume 8, Issue 5
Sinc Collocation Solutions for the Integral Algebraic Equation of Index-1

Jingjun Zhao, Yang Cao & Yang Xu

DOI: 10.4208/aamm.2014.m828

Adv. Appl. Math. Mech., 8 (2016), pp. 757-771.

Published online: 2018-05

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

  • Keywords

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

  • AMS Subject Headings

65L20

  • Copyright

COPYRIGHT: © Global Science Press

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  • TXT
@Article{AAMM-8-757, author = {Zhao , JingjunCao , Yang and Xu , Yang}, title = {Sinc Collocation Solutions for the Integral Algebraic Equation of Index-1}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {8}, number = {5}, pages = {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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2014.m828}, url = {http://global-sci.org/intro/article_detail/aamm/12114.html} }
TY - JOUR T1 - Sinc Collocation Solutions for the Integral Algebraic Equation of Index-1 AU - Zhao , Jingjun AU - Cao , Yang AU - Xu , Yang JO - Advances in Applied Mathematics and Mechanics VL - 5 SP - 757 EP - 771 PY - 2018 DA - 2018/05 SN - 8 DO - http://doi.org/10.4208/aamm.2014.m828 UR - https://global-sci.org/intro/article_detail/aamm/12114.html KW - Integral algebraic equation of index-1, Sinc method, exponential convergence. 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 $\mathcal{O}(√Ne^{−k√N})$. Moreover, Sinc method is applied to several examples to illustrate the accuracy and implementation of the method.

Jingjun Zhao, Yang Cao & Yang Xu. (2020). Sinc Collocation Solutions for the Integral Algebraic Equation of Index-1. Advances in Applied Mathematics and Mechanics. 8 (5). 757-771. doi:10.4208/aamm.2014.m828
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