Optimal Homotopy Asymptotic Method for Solving the Linear Fredholm Integral Equations of the First Kind

The aim of this study is to present the use of a semi analytical method called the optimal homotopy asymptotic method (OHAM) for solving the linear Fredholm integral equations of the first kind. Three examples are discussed to show the ability of the method to solve the linear Fredholm integral equa...

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Main Authors: Mohammad Almousa, Ahmad Ismail
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/278097
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author Mohammad Almousa
Ahmad Ismail
author_facet Mohammad Almousa
Ahmad Ismail
author_sort Mohammad Almousa
collection DOAJ
description The aim of this study is to present the use of a semi analytical method called the optimal homotopy asymptotic method (OHAM) for solving the linear Fredholm integral equations of the first kind. Three examples are discussed to show the ability of the method to solve the linear Fredholm integral equations of the first kind. The results indicated that the method is very effective and simple.
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series Abstract and Applied Analysis
spelling doaj-art-14d46e34b07d45fd8498ab23cd37a9352025-08-20T02:02:04ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/278097278097Optimal Homotopy Asymptotic Method for Solving the Linear Fredholm Integral Equations of the First KindMohammad Almousa0Ahmad Ismail1School of Mathematical Sciences, Universiti Sains Malaysia (USM), 11800 Gelugor, Penang, MalaysiaSchool of Mathematical Sciences, Universiti Sains Malaysia (USM), 11800 Gelugor, Penang, MalaysiaThe aim of this study is to present the use of a semi analytical method called the optimal homotopy asymptotic method (OHAM) for solving the linear Fredholm integral equations of the first kind. Three examples are discussed to show the ability of the method to solve the linear Fredholm integral equations of the first kind. The results indicated that the method is very effective and simple.http://dx.doi.org/10.1155/2013/278097
spellingShingle Mohammad Almousa
Ahmad Ismail
Optimal Homotopy Asymptotic Method for Solving the Linear Fredholm Integral Equations of the First Kind
Abstract and Applied Analysis
title Optimal Homotopy Asymptotic Method for Solving the Linear Fredholm Integral Equations of the First Kind
title_full Optimal Homotopy Asymptotic Method for Solving the Linear Fredholm Integral Equations of the First Kind
title_fullStr Optimal Homotopy Asymptotic Method for Solving the Linear Fredholm Integral Equations of the First Kind
title_full_unstemmed Optimal Homotopy Asymptotic Method for Solving the Linear Fredholm Integral Equations of the First Kind
title_short Optimal Homotopy Asymptotic Method for Solving the Linear Fredholm Integral Equations of the First Kind
title_sort optimal homotopy asymptotic method for solving the linear fredholm integral equations of the first kind
url http://dx.doi.org/10.1155/2013/278097
work_keys_str_mv AT mohammadalmousa optimalhomotopyasymptoticmethodforsolvingthelinearfredholmintegralequationsofthefirstkind
AT ahmadismail optimalhomotopyasymptoticmethodforsolvingthelinearfredholmintegralequationsofthefirstkind