Polynomial approach for the most general linear Fredholm integrodifferential-difference equations using Taylor matrix method
A Taylor matrix method is developed to find an approximate solution of the most general linear Fredholm integrodifferential-difference equations with variable coefficients under the mixed conditions in terms of Taylor polynomials. This method transforms the given general linear Fredholm integrodiffe...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/46376 |
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| _version_ | 1850177411290759168 |
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| author | Mehmet Sezer Mustafa Gülsu |
| author_facet | Mehmet Sezer Mustafa Gülsu |
| author_sort | Mehmet Sezer |
| collection | DOAJ |
| description | A Taylor matrix method is developed to find an approximate
solution of the most general linear Fredholm
integrodifferential-difference equations with variable
coefficients under the mixed conditions in terms of Taylor
polynomials. This method transforms the given general linear
Fredholm integrodifferential-difference equations and the mixed
conditions to matrix equations with unknown Taylor coefficients.
By means of the obtained matrix equations, the Taylor coefficients
can be easily computed. Hence, the finite Taylor series approach
is obtained. Also, examples are presented and the results are
discussed. |
| format | Article |
| id | doaj-art-bf38e24f60d94a528ea2373dabd82b4c |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-bf38e24f60d94a528ea2373dabd82b4c2025-08-20T02:18:58ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/4637646376Polynomial approach for the most general linear Fredholm integrodifferential-difference equations using Taylor matrix methodMehmet Sezer0Mustafa Gülsu1Department of Mathematics, Faculty of Science, Mugla University, Mugla 48000, TurkeyDepartment of Mathematics, Faculty of Science, Mugla University, Mugla 48000, TurkeyA Taylor matrix method is developed to find an approximate solution of the most general linear Fredholm integrodifferential-difference equations with variable coefficients under the mixed conditions in terms of Taylor polynomials. This method transforms the given general linear Fredholm integrodifferential-difference equations and the mixed conditions to matrix equations with unknown Taylor coefficients. By means of the obtained matrix equations, the Taylor coefficients can be easily computed. Hence, the finite Taylor series approach is obtained. Also, examples are presented and the results are discussed.http://dx.doi.org/10.1155/IJMMS/2006/46376 |
| spellingShingle | Mehmet Sezer Mustafa Gülsu Polynomial approach for the most general linear Fredholm integrodifferential-difference equations using Taylor matrix method International Journal of Mathematics and Mathematical Sciences |
| title | Polynomial approach for the most general linear Fredholm integrodifferential-difference equations using Taylor matrix method |
| title_full | Polynomial approach for the most general linear Fredholm integrodifferential-difference equations using Taylor matrix method |
| title_fullStr | Polynomial approach for the most general linear Fredholm integrodifferential-difference equations using Taylor matrix method |
| title_full_unstemmed | Polynomial approach for the most general linear Fredholm integrodifferential-difference equations using Taylor matrix method |
| title_short | Polynomial approach for the most general linear Fredholm integrodifferential-difference equations using Taylor matrix method |
| title_sort | polynomial approach for the most general linear fredholm integrodifferential difference equations using taylor matrix method |
| url | http://dx.doi.org/10.1155/IJMMS/2006/46376 |
| work_keys_str_mv | AT mehmetsezer polynomialapproachforthemostgenerallinearfredholmintegrodifferentialdifferenceequationsusingtaylormatrixmethod AT mustafagulsu polynomialapproachforthemostgenerallinearfredholmintegrodifferentialdifferenceequationsusingtaylormatrixmethod |