Comparison Between Some Analysis Solutions for Solving Fredholm Integral Equation of Second Kind

Abdel Radi Abdel Rahman Abdel Gadir; Samia Abdallah Yagoub Ibrahim

doi:https://doi.org/10.14445/22315373/IJMTT-V66I6P525

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 6 | Year 2020 | Article Id. IJMTT-V66I6P525 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I6P525

Comparison Between Some Analysis Solutions for Solving Fredholm Integral Equation of Second Kind

Abdel Radi Abdel Rahman Abdel Gadir, Samia Abdallah Yagoub Ibrahim

Abstract

Analysis solution is developed for solving Fredholm integral equation of the second kind. We reviewed different analysis solution for solving linear and nonlinear Fredholm integral equation of the second kind the aim is to classify the chosen method and evaluate their accuracy and effciency we stress the importance of this comparison to drive the study on the analysis solution of Fredholm integral equation, we follow analysis method mathematical and we found the Adomian decomposition method gives the more accurate solutions.

Keywords

Fredholm integral equation second kind, Adomian decomposition method modified decomposition method, successive approximation method.

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Citation :

Abdel Radi Abdel Rahman Abdel Gadir, Samia Abdallah Yagoub Ibrahim, "Comparison Between Some Analysis Solutions for Solving Fredholm Integral Equation of Second Kind," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 6, pp. 245-260, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I6P525