@Article{JCM-38-4,
author = {Laeli, H., Dastjerdi and Nili, M., Ahmadabadi},
title = {Implicity Linear Collocation Method and Iterated Implicity Linear Collocation Method for the Numerical Solution of Hammerstein Fredholm Integral Equations on 2D Irregular Domains},
journal = {Journal of Computational Mathematics},
year = {2020},
volume = {38},
number = {4},
pages = {624--637},
abstract = {<p style="text-align: justify;">In this work, we adapt and compare implicity linear collocation method and iterated
implicity linear collocation method for solving nonlinear two dimensional Fredholm integral
equations of Hammerstein type using IMQ-RBFs on a non-rectangular domain. IMQs
show to be the most promising RBFs for this kind of equations. The proposed methods
are mesh-free and they are independent of the geometry of domain. Convergence analysis
of the proposed methods together with some benchmark examples is provided which
support their reliability and numerical stability.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.1903-m2017-0206},
url = {https://global-sci.com/article/84342/implicity-linear-collocation-method-and-iterated-implicity-linear-collocation-method-for-the-numerical-solution-of-hammerstein-fredholm-integral-equations-on-2d-irregular-domains}
}