Applications of framelets for solving third kind integral- integral equations
Abstract
This article is dedicated to obtain numerical solution for semi-explicit integral-algebraic equation of third kind (IAE). We used tight wavelet frames (framelets) to obtain the numerical solution. The framelets system generated by unitary extension principle and oblique extension principle based on the B-spline refinable function. We provide some numerical examples to show the efficiency of the proposed method. The obtained numerical results of our method compared with those obtained from Spline and discretized colocation methods. We confirm that, our proposed method achieves accurate and efficient results than others.
Copyright © 2021 Yousef Al-Jarrah. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
Y. Al-Jarrah, Applications of framelets for solving third kind integral- integral equations, J. Math. Comput. Sci. 11 (2021), 2174–2192. https://doi.org/10.28919/jmcs/5428
BibTeX
@article{Al-Jarrah2021,
author = {Al-Jarrah, Yousef},
title = {Applications of framelets for solving third kind integral- integral equations},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {2174--2192},
doi = {10.28919/jmcs/5428}
}