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Assist. Mai Nasr Zaki ElHamaqy :: Publications:

Title:
The Error Behaviour of Collocation and Galerkin Methods in Solving Integral Equations
Authors: M. A. Abdou, A. A. Soliman and M. N. Elhamaky
Year: 2020
Keywords: Not Available
Journal: Benha Journal of Applied Science
Volume: Not Available
Issue: Not Available
Pages: Not Available
Publisher: Not Available
Local/International: International
Paper Link: Not Available
Full paper Not Available
Supplementary materials Not Available
Abstract:

This paper was devoted to study the error behaviour of the solutions for Fredholm and Volterra integral equations of the second kind using Collocation and Galerkin methods at N=3:100. This paper started with an introduction to show the related work. In addition, we presented the analysis of the numerical methods which we used. Under certain conditions, Banach’s fixed point theorem was used to prove the existence and uniqueness for the error integral equation. We presented a comparison between the maximum and minimum errors obtained by Collocation and Galerkin methods. Moreover, some applications were given to satisfy our study. Results were represented in groups of tables and figures.

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