A Matrix Method Based on the Fibonacci Polynomials to the Generalized Pantograph Equations with Functional Arguments
A pseudospectral method based on the Fibonacci operational matrix is proposed to solve generalized pantograph equations with linear functional arguments. By using this method, approximate solutions of the problems are easily obtained in form of the truncated Fibonacci series. Some illustrative examp...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/694580 |
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| _version_ | 1841524763201110016 |
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| author | Ayşe Betül Koç Musa Çakmak Aydın Kurnaz |
| author_facet | Ayşe Betül Koç Musa Çakmak Aydın Kurnaz |
| author_sort | Ayşe Betül Koç |
| collection | DOAJ |
| description | A pseudospectral method based on the Fibonacci operational matrix is proposed to solve generalized pantograph equations with linear functional arguments. By using this method, approximate solutions of the problems are easily obtained in form of the truncated Fibonacci series. Some illustrative examples are given to verify the efficiency and effectiveness of the proposed method. Then, the numerical results are compared with other methods. |
| format | Article |
| id | doaj-art-0e73cbdb746a4cf3a76b553f8a413f05 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-0e73cbdb746a4cf3a76b553f8a413f052025-02-03T05:47:23ZengWileyAdvances in Mathematical Physics1687-91201687-91392014-01-01201410.1155/2014/694580694580A Matrix Method Based on the Fibonacci Polynomials to the Generalized Pantograph Equations with Functional ArgumentsAyşe Betül Koç0Musa Çakmak1Aydın Kurnaz2Department of Mathematics, Faculty of Science, Selcuk University, 42003 Konya, TurkeyYayladağı Vocational School, Mustafa Kemal University, 31550 Hatay, TurkeyDepartment of Mathematics, Faculty of Science, Selcuk University, 42003 Konya, TurkeyA pseudospectral method based on the Fibonacci operational matrix is proposed to solve generalized pantograph equations with linear functional arguments. By using this method, approximate solutions of the problems are easily obtained in form of the truncated Fibonacci series. Some illustrative examples are given to verify the efficiency and effectiveness of the proposed method. Then, the numerical results are compared with other methods.http://dx.doi.org/10.1155/2014/694580 |
| spellingShingle | Ayşe Betül Koç Musa Çakmak Aydın Kurnaz A Matrix Method Based on the Fibonacci Polynomials to the Generalized Pantograph Equations with Functional Arguments Advances in Mathematical Physics |
| title | A Matrix Method Based on the Fibonacci Polynomials to the Generalized Pantograph Equations with Functional Arguments |
| title_full | A Matrix Method Based on the Fibonacci Polynomials to the Generalized Pantograph Equations with Functional Arguments |
| title_fullStr | A Matrix Method Based on the Fibonacci Polynomials to the Generalized Pantograph Equations with Functional Arguments |
| title_full_unstemmed | A Matrix Method Based on the Fibonacci Polynomials to the Generalized Pantograph Equations with Functional Arguments |
| title_short | A Matrix Method Based on the Fibonacci Polynomials to the Generalized Pantograph Equations with Functional Arguments |
| title_sort | matrix method based on the fibonacci polynomials to the generalized pantograph equations with functional arguments |
| url | http://dx.doi.org/10.1155/2014/694580 |
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