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 - <p style="text-align: justify;">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.</p>