A Classification of Integral Equations of the Fredholm Type

Kanee Goodfaith Leyira¹ , J.O. Okai² , I.M. Waziri³ , Isah Abdullahi⁴ , Edicha Friday⁵

Section:Research Paper, Product Type: Journal-Paper
Vol.10 , Issue.5 , pp.16-19, Oct-2022

Online published on Oct 31, 2022

Copyright © Kanee Goodfaith Leyira, J.O. Okai, I.M. Waziri, Isah Abdullahi, Edicha Friday . 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.
 

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Abstract :
In this study examined the classification of the Integral Equations as pertaining to Fredholm integral equations of first and second kind and various the methods to solve this type of equation to provide exact solutions. We review relevance literatures, good books and excellent journals on the Fredholm Integral equation. In this study, two methods were used to determine the accuracy of solutions, they are Direct Computation Method (DCM) and Adomian Decomposition Method (ADM). We worked some examples to discussed the results of accuracy and clarity of these two methods. We found that the Adomian Decomposition Method (ADM) is an effective, convenient, and accurate method for finding analytical solutions of the Fredholm Integral Equation than the Direct Computation Method (DCM.

Key-Words / Index Term :
Integral Equation, Fredholm Integral Equation, Differential Equation

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