@Article{IJNAM-16-2,
author = {Hui, Feng and Yan, Gao and Lili, Ju and Zhang, Xiaoping},
title = {A New Collocation Method for Solving Certain Hadamard Finite-Part Integral Equation},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2019},
volume = {16},
number = {2},
pages = {240--254},
abstract = {<p style="text-align: justify;">In this paper, we study a new nodal-type trapezoidal rule for approximating Hadamard
finite-part integrals, and its application to numerical solution of certain finite-part integral equation.
We start with a nodal-type trapezoidal rule discussed in [21], and then establish its error
expansion analysis, from which a new nodal-type trapezoidal rule with higher order accuracy is
proposed and corresponding error analysis is also obtained. Based on the proposed rule, a new
collocation scheme is then constructed to solve certain finite-part integral equation, with the optimal
error estimate being rigorously derived. Some numerical experiments are also performed to
verify the theoretical results.</p>},
issn = {2617-8710},
doi = {https://doi.org/2019-IJNAM-12802},
url = {https://global-sci.com/article/83060/a-new-collocation-method-for-solving-certain-hadamard-finite-part-integral-equation}
}