4.5 Article

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

Journal

ADVANCES IN APPLIED MATHEMATICS AND MECHANICS
Volume 8, Issue 5, Pages 757-771

Publisher

GLOBAL SCIENCE PRESS
DOI: 10.4208/aamm.2014.m828

Keywords

Integral algebraic equation of index-1; Sinc method; exponential convergence

Funding

  1. National Natural Science Foundation of China [11101109, 11271102]

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

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