Numerical solution of the Volterra-Fredholm integral equation by the framelet method
Abstract
In this paper, a numerical method is proposed to solve the Volterra-Fredholm Integral Equation. The method is based on the use of framelets to reduce the integral equation to a system of algebraic equations, a numerical solution is given by using collocation method.
Finally, numerical examples are presented to test the efficiency of the proposed method. Comparative results show that our method is more accurate than existing ones.Copyright © 2021 Abdallah Al-Habahbeh. 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
A. Al-Habahbeh, Numerical solution of the Volterra-Fredholm integral equation by the framelet method, J. Math. Comput. Sci. 11 (2021), 4563–4585. https://doi.org/10.28919/jmcs/5719
BibTeX
@article{Al-Habahbeh2021,
author = {Al-Habahbeh, Abdallah},
title = {Numerical solution of the Volterra-Fredholm integral equation by the framelet method},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {4563--4585},
doi = {10.28919/jmcs/5719}
}