A Direct Analytic Method for Solution of Linear Fredholm Integral and Integro-Differential Equations of the Second Kind
In this paper, a direct analytic method is given for the solution of the linear Fredholm integral and integro-differential equations of the second kind, which is based on the span of the known function, under the action of the operator defined by the kernel. The necessary conditions for using th...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Islamic Azad University
2015-06-01
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| Series: | Journal of Mathematical Extension |
| Subjects: | |
| Online Access: | http://ijmex.com/index.php/ijmex/article/view/249 |
| _version_ | 1818509915619065856 |
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| author | H. R. Navabpour F. M. Maalek Ghaini |
| author_facet | H. R. Navabpour F. M. Maalek Ghaini |
| author_sort | H. R. Navabpour |
| collection | DOAJ |
| description | In this paper, a direct analytic method is given for the solution
of the linear Fredholm integral and integro-differential equations
of the second kind, which is based on the span of the known function,
under the action of the operator defined by the kernel. The necessary
conditions for using this method are so weak that extends its applicability.
The solved examples show the strength of this method. |
| first_indexed | 2024-12-10T22:52:02Z |
| format | Article |
| id | doaj.art-caea5ec90aff46a6919e077287e963b1 |
| institution | Directory Open Access Journal |
| issn | 1735-8299 1735-8299 |
| language | English |
| last_indexed | 2024-12-10T22:52:02Z |
| publishDate | 2015-06-01 |
| publisher | Islamic Azad University |
| record_format | Article |
| series | Journal of Mathematical Extension |
| spelling | doaj.art-caea5ec90aff46a6919e077287e963b12022-12-22T01:30:23ZengIslamic Azad UniversityJournal of Mathematical Extension1735-82991735-82992015-06-01925977A Direct Analytic Method for Solution of Linear Fredholm Integral and Integro-Differential Equations of the Second KindH. R. Navabpour0F. M. Maalek Ghaini1Yazd UniversityYazd UniversityIn this paper, a direct analytic method is given for the solution of the linear Fredholm integral and integro-differential equations of the second kind, which is based on the span of the known function, under the action of the operator defined by the kernel. The necessary conditions for using this method are so weak that extends its applicability. The solved examples show the strength of this method.http://ijmex.com/index.php/ijmex/article/view/249Fredholm integral equations (FIE)Fredholm integro-differential equations (FIDE)integral operatorsbasis functions |
| spellingShingle | H. R. Navabpour F. M. Maalek Ghaini A Direct Analytic Method for Solution of Linear Fredholm Integral and Integro-Differential Equations of the Second Kind Journal of Mathematical Extension Fredholm integral equations (FIE) Fredholm integro-differential equations (FIDE) integral operators basis functions |
| title | A Direct Analytic Method for Solution of Linear Fredholm Integral and Integro-Differential Equations of the Second Kind |
| title_full | A Direct Analytic Method for Solution of Linear Fredholm Integral and Integro-Differential Equations of the Second Kind |
| title_fullStr | A Direct Analytic Method for Solution of Linear Fredholm Integral and Integro-Differential Equations of the Second Kind |
| title_full_unstemmed | A Direct Analytic Method for Solution of Linear Fredholm Integral and Integro-Differential Equations of the Second Kind |
| title_short | A Direct Analytic Method for Solution of Linear Fredholm Integral and Integro-Differential Equations of the Second Kind |
| title_sort | direct analytic method for solution of linear fredholm integral and integro differential equations of the second kind |
| topic | Fredholm integral equations (FIE) Fredholm integro-differential equations (FIDE) integral operators basis functions |
| url | http://ijmex.com/index.php/ijmex/article/view/249 |
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