On Bernstein Polynomials Method to the System of Abel Integral Equations
This paper deals with a new implementation of the Bernstein polynomials method to the numerical solution of a special kind of singular system. For this aim, first the truncated Bernstein series polynomials of the solution functions are substituted in the given problem. Using some properties of these...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/796286 |
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| _version_ | 1832548092308619264 |
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| author | A. Jafarian S. Measoomy Nia Alireza K. Golmankhaneh D. Baleanu |
| author_facet | A. Jafarian S. Measoomy Nia Alireza K. Golmankhaneh D. Baleanu |
| author_sort | A. Jafarian |
| collection | DOAJ |
| description | This paper deals with a new implementation of the Bernstein polynomials
method to the numerical solution of a special kind of singular
system. For this aim, first the truncated Bernstein series polynomials
of the solution functions are substituted in the given problem. Using
some properties of these polynomials, the solution of the problem is
reduced to solve a linear system of algebraic equations. In order to confirm
the reliability and accuracy of the proposed method, some weakly
Abel integral equations systems with comparisons are solved in detail
as numerical examples. |
| format | Article |
| id | doaj-art-deef5748be464776804c73cf0a46e3db |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-deef5748be464776804c73cf0a46e3db2025-02-03T06:42:22ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/796286796286On Bernstein Polynomials Method to the System of Abel Integral EquationsA. Jafarian0S. Measoomy Nia1Alireza K. Golmankhaneh2D. Baleanu3Department of Mathematics, Islamic Azad University, Urmia Branch, P.O. BOX 969, Urmia, IranDepartment of Mathematics, Islamic Azad University, Urmia Branch, P.O. BOX 969, Urmia, IranDepartment of Physics, Islamic Azad University, Urmia Branch, P.O. BOX 969, Urmia, IranDepartment of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi ArabiaThis paper deals with a new implementation of the Bernstein polynomials method to the numerical solution of a special kind of singular system. For this aim, first the truncated Bernstein series polynomials of the solution functions are substituted in the given problem. Using some properties of these polynomials, the solution of the problem is reduced to solve a linear system of algebraic equations. In order to confirm the reliability and accuracy of the proposed method, some weakly Abel integral equations systems with comparisons are solved in detail as numerical examples.http://dx.doi.org/10.1155/2014/796286 |
| spellingShingle | A. Jafarian S. Measoomy Nia Alireza K. Golmankhaneh D. Baleanu On Bernstein Polynomials Method to the System of Abel Integral Equations Abstract and Applied Analysis |
| title | On Bernstein Polynomials Method to the System of Abel Integral Equations |
| title_full | On Bernstein Polynomials Method to the System of Abel Integral Equations |
| title_fullStr | On Bernstein Polynomials Method to the System of Abel Integral Equations |
| title_full_unstemmed | On Bernstein Polynomials Method to the System of Abel Integral Equations |
| title_short | On Bernstein Polynomials Method to the System of Abel Integral Equations |
| title_sort | on bernstein polynomials method to the system of abel integral equations |
| url | http://dx.doi.org/10.1155/2014/796286 |
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