Bernstein Collocation Method for Solving Nonlinear Fredholm-Volterra Integrodifferential Equations in the Most General Form
A collocation method based on the Bernstein polynomials defined on the interval [a,b] is developed for approximate solutions of the Fredholm-Volterra integrodifferential equation (FVIDE) in the most general form. This method is reduced to linear FVIDE via the collocation points and quasilinearizatio...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/134272 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832553012475723776 |
|---|---|
| author | Ayşegül Akyüz-Daşcıoğlu Neşe İşler Acar Coşkun Güler |
| author_facet | Ayşegül Akyüz-Daşcıoğlu Neşe İşler Acar Coşkun Güler |
| author_sort | Ayşegül Akyüz-Daşcıoğlu |
| collection | DOAJ |
| description | A collocation method based on the Bernstein polynomials defined on the interval [a,b] is developed for approximate solutions of the Fredholm-Volterra integrodifferential equation (FVIDE) in the most general form. This method is reduced to linear FVIDE via the collocation points and quasilinearization technique. Some numerical examples are also given to demonstrate the applicability, accuracy, and efficiency of the proposed method. |
| format | Article |
| id | doaj-art-cd1fd7dbc5f341fbbb6fed2cc0486c63 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-cd1fd7dbc5f341fbbb6fed2cc0486c632025-02-03T05:57:10ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/134272134272Bernstein Collocation Method for Solving Nonlinear Fredholm-Volterra Integrodifferential Equations in the Most General FormAyşegül Akyüz-Daşcıoğlu0Neşe İşler Acar1Coşkun Güler2Department of Mathematics, Faculty of Arts & Sciences, Pamukkale University, 20070 Denizli, TurkeyDepartment of Mathematics, Faculty of Arts & Sciences, Mehmet Akif Ersoy University, 15030 Burdur, TurkeyDepartment of Mathematical Engineering, Faculty of Chemistry and Metallurgy, Yildiz Technical University, 34210 Istanbul, TurkeyA collocation method based on the Bernstein polynomials defined on the interval [a,b] is developed for approximate solutions of the Fredholm-Volterra integrodifferential equation (FVIDE) in the most general form. This method is reduced to linear FVIDE via the collocation points and quasilinearization technique. Some numerical examples are also given to demonstrate the applicability, accuracy, and efficiency of the proposed method.http://dx.doi.org/10.1155/2014/134272 |
| spellingShingle | Ayşegül Akyüz-Daşcıoğlu Neşe İşler Acar Coşkun Güler Bernstein Collocation Method for Solving Nonlinear Fredholm-Volterra Integrodifferential Equations in the Most General Form Journal of Applied Mathematics |
| title | Bernstein Collocation Method for Solving Nonlinear Fredholm-Volterra Integrodifferential Equations in the Most General Form |
| title_full | Bernstein Collocation Method for Solving Nonlinear Fredholm-Volterra Integrodifferential Equations in the Most General Form |
| title_fullStr | Bernstein Collocation Method for Solving Nonlinear Fredholm-Volterra Integrodifferential Equations in the Most General Form |
| title_full_unstemmed | Bernstein Collocation Method for Solving Nonlinear Fredholm-Volterra Integrodifferential Equations in the Most General Form |
| title_short | Bernstein Collocation Method for Solving Nonlinear Fredholm-Volterra Integrodifferential Equations in the Most General Form |
| title_sort | bernstein collocation method for solving nonlinear fredholm volterra integrodifferential equations in the most general form |
| url | http://dx.doi.org/10.1155/2014/134272 |
| work_keys_str_mv | AT aysegulakyuzdascıoglu bernsteincollocationmethodforsolvingnonlinearfredholmvolterraintegrodifferentialequationsinthemostgeneralform AT neseisleracar bernsteincollocationmethodforsolvingnonlinearfredholmvolterraintegrodifferentialequationsinthemostgeneralform AT coskunguler bernsteincollocationmethodforsolvingnonlinearfredholmvolterraintegrodifferentialequationsinthemostgeneralform |