Implicity Linear Collocation Method and Iterated Implicity Linear Collocation Method for the Numerical Solution of Hammerstein Fredholm Integral Equations on 2D Irregular Domains
Year: 2020
Author: H. Laeli Dastjerdi, M. Nili Ahmadabadi
Journal of Computational Mathematics, Vol. 38 (2020), Iss. 4 : pp. 624–637
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1903-m2017-0206
Journal of Computational Mathematics, Vol. 38 (2020), Iss. 4 : pp. 624–637
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Two dimensional equations Irregular domain Fredholm integral equations Meshless method Numerical treatment.