Hybrid Bernstein Block-Pulse Functions Method for Second Kind Integral Equations with Convergence Analysis
We introduce a new combination of Bernstein polynomials (BPs) and Block-Pulse functions (BPFs) on the interval [0, 1]. These functions are suitable for finding an approximate solution of the second kind integral equation. We call this method Hybrid Bernstein Block-Pulse Functions Method (HBBPFM). Th...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/623763 |
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| author | Mohsen Alipour Dumitru Baleanu Fereshteh Babaei |
| author_facet | Mohsen Alipour Dumitru Baleanu Fereshteh Babaei |
| author_sort | Mohsen Alipour |
| collection | DOAJ |
| description | We introduce a new combination of Bernstein polynomials (BPs) and Block-Pulse functions (BPFs) on the interval [0, 1]. These functions are suitable for finding an approximate solution of the second kind integral equation. We call this method Hybrid Bernstein Block-Pulse Functions Method (HBBPFM). This method is very simple such that an integral equation is reduced to a system of linear equations. On the other hand, convergence analysis for this method is discussed. The method is computationally very simple and attractive so that numerical examples illustrate the efficiency and accuracy of this method. |
| format | Article |
| id | doaj-art-17027079dfe348c1b0bddb6fe7bfae78 |
| 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-17027079dfe348c1b0bddb6fe7bfae782025-02-03T01:13:09ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/623763623763Hybrid Bernstein Block-Pulse Functions Method for Second Kind Integral Equations with Convergence AnalysisMohsen Alipour0Dumitru Baleanu1Fereshteh Babaei2Faculty of Basic Science, Babol University of Technology, P.O. Box 47148-71167, Babol, IranDepartment of Mathematics, Cankaya University, Ogretmenler Caddesi 14, Balgat, 06530 Ankara, TurkeyFaculty of Basic Science, Babol University of Technology, P.O. Box 47148-71167, Babol, IranWe introduce a new combination of Bernstein polynomials (BPs) and Block-Pulse functions (BPFs) on the interval [0, 1]. These functions are suitable for finding an approximate solution of the second kind integral equation. We call this method Hybrid Bernstein Block-Pulse Functions Method (HBBPFM). This method is very simple such that an integral equation is reduced to a system of linear equations. On the other hand, convergence analysis for this method is discussed. The method is computationally very simple and attractive so that numerical examples illustrate the efficiency and accuracy of this method.http://dx.doi.org/10.1155/2014/623763 |
| spellingShingle | Mohsen Alipour Dumitru Baleanu Fereshteh Babaei Hybrid Bernstein Block-Pulse Functions Method for Second Kind Integral Equations with Convergence Analysis Abstract and Applied Analysis |
| title | Hybrid Bernstein Block-Pulse Functions Method for Second Kind Integral Equations with Convergence Analysis |
| title_full | Hybrid Bernstein Block-Pulse Functions Method for Second Kind Integral Equations with Convergence Analysis |
| title_fullStr | Hybrid Bernstein Block-Pulse Functions Method for Second Kind Integral Equations with Convergence Analysis |
| title_full_unstemmed | Hybrid Bernstein Block-Pulse Functions Method for Second Kind Integral Equations with Convergence Analysis |
| title_short | Hybrid Bernstein Block-Pulse Functions Method for Second Kind Integral Equations with Convergence Analysis |
| title_sort | hybrid bernstein block pulse functions method for second kind integral equations with convergence analysis |
| url | http://dx.doi.org/10.1155/2014/623763 |
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