Staff Members - Benha University
The Error Behaviour of Collocation and Galerkin Methods in Solving Integral Equations
Benha Journal of Applied Science • 2020
Publication Information
Authors
M. A. Abdou, A. A. Soliman and M. N. Elhamaky
Keywords
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Journal
Benha Journal of Applied Science
Publisher
Not Available
Volume
Not Available
Issue
Not Available
Pages
Not Available
publication.type
International
Paper Link
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Supplementary Materials
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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.
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.