Approximate Solution of Volterra-Stieltjes Linear Integral Equations of the Second Kind with the Generalized Trapezoid Rule
The numerical solution of linear Volterra-Stieltjes integral equations of the second kind by using the generalized trapezoid rule is established and investigated. Also, the conditions on estimation of the error are determined and proved. A selected example is solved employing the proposed method.
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/1798050 |
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| _version_ | 1832559245510311936 |
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| author | Avit Asanov Elman Hazar Mustafa Eroz Kalıskan Matanova Elmira Abdyldaeva |
| author_facet | Avit Asanov Elman Hazar Mustafa Eroz Kalıskan Matanova Elmira Abdyldaeva |
| author_sort | Avit Asanov |
| collection | DOAJ |
| description | The numerical solution of linear Volterra-Stieltjes integral equations of the second kind by using the generalized trapezoid rule is established and investigated. Also, the conditions on estimation of the error are determined and proved. A selected example is solved employing the proposed method. |
| format | Article |
| id | doaj-art-d9560f53e41a4db4bef56a21361140bc |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-d9560f53e41a4db4bef56a21361140bc2025-02-03T01:30:29ZengWileyAdvances in Mathematical Physics1687-91201687-91392016-01-01201610.1155/2016/17980501798050Approximate Solution of Volterra-Stieltjes Linear Integral Equations of the Second Kind with the Generalized Trapezoid RuleAvit Asanov0Elman Hazar1Mustafa Eroz2Kalıskan Matanova3Elmira Abdyldaeva4Department of Mathematics, Kyrgyz-Turkish Manas University, Bishkek, KyrgyzstanDepartment of Mathematics, Sakarya University, Sakarya, TurkeyDepartment of Mathematics, Sakarya University, Sakarya, TurkeyDepartment of Mathematics, Kyrgyz-Turkish Manas University, Bishkek, KyrgyzstanDepartment of Mathematics, Kyrgyz-Turkish Manas University, Bishkek, KyrgyzstanThe numerical solution of linear Volterra-Stieltjes integral equations of the second kind by using the generalized trapezoid rule is established and investigated. Also, the conditions on estimation of the error are determined and proved. A selected example is solved employing the proposed method.http://dx.doi.org/10.1155/2016/1798050 |
| spellingShingle | Avit Asanov Elman Hazar Mustafa Eroz Kalıskan Matanova Elmira Abdyldaeva Approximate Solution of Volterra-Stieltjes Linear Integral Equations of the Second Kind with the Generalized Trapezoid Rule Advances in Mathematical Physics |
| title | Approximate Solution of Volterra-Stieltjes Linear Integral Equations of the Second Kind with the Generalized Trapezoid Rule |
| title_full | Approximate Solution of Volterra-Stieltjes Linear Integral Equations of the Second Kind with the Generalized Trapezoid Rule |
| title_fullStr | Approximate Solution of Volterra-Stieltjes Linear Integral Equations of the Second Kind with the Generalized Trapezoid Rule |
| title_full_unstemmed | Approximate Solution of Volterra-Stieltjes Linear Integral Equations of the Second Kind with the Generalized Trapezoid Rule |
| title_short | Approximate Solution of Volterra-Stieltjes Linear Integral Equations of the Second Kind with the Generalized Trapezoid Rule |
| title_sort | approximate solution of volterra stieltjes linear integral equations of the second kind with the generalized trapezoid rule |
| url | http://dx.doi.org/10.1155/2016/1798050 |
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