Solving Fractional Partial Differential Equations with Corrected Fourier Series Method
The corrected Fourier series (CFS) is proposed for solving partial differential equations (PDEs) with fractional time derivative on a finite domain. In the previous work, we have been solving partial differential equations by using corrected Fourier series. The fractional derivatives are described i...
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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/10.1155/2014/958931 |
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| author | Nor Hafizah Zainal Adem Kılıçman |
| author_facet | Nor Hafizah Zainal Adem Kılıçman |
| author_sort | Nor Hafizah Zainal |
| collection | DOAJ |
| description | The corrected Fourier series (CFS) is proposed for solving partial differential equations (PDEs) with fractional time derivative on a finite domain. In the previous work, we have been solving partial differential equations by using corrected Fourier series. The fractional derivatives are described in Riemann sense. Some numerical examples are presented to show the solutions. |
| format | Article |
| id | doaj-art-11ee75415d934d6c885d03ab79dc3fa7 |
| 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-11ee75415d934d6c885d03ab79dc3fa72025-08-20T03:54:11ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/958931958931Solving Fractional Partial Differential Equations with Corrected Fourier Series MethodNor Hafizah Zainal0Adem Kılıçman1Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, Selangor, MalaysiaDepartment of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 Serdang, Selangor, MalaysiaThe corrected Fourier series (CFS) is proposed for solving partial differential equations (PDEs) with fractional time derivative on a finite domain. In the previous work, we have been solving partial differential equations by using corrected Fourier series. The fractional derivatives are described in Riemann sense. Some numerical examples are presented to show the solutions.http://dx.doi.org/10.1155/2014/958931 |
| spellingShingle | Nor Hafizah Zainal Adem Kılıçman Solving Fractional Partial Differential Equations with Corrected Fourier Series Method Abstract and Applied Analysis |
| title | Solving Fractional Partial Differential Equations with Corrected Fourier Series Method |
| title_full | Solving Fractional Partial Differential Equations with Corrected Fourier Series Method |
| title_fullStr | Solving Fractional Partial Differential Equations with Corrected Fourier Series Method |
| title_full_unstemmed | Solving Fractional Partial Differential Equations with Corrected Fourier Series Method |
| title_short | Solving Fractional Partial Differential Equations with Corrected Fourier Series Method |
| title_sort | solving fractional partial differential equations with corrected fourier series method |
| url | http://dx.doi.org/10.1155/2014/958931 |
| work_keys_str_mv | AT norhafizahzainal solvingfractionalpartialdifferentialequationswithcorrectedfourierseriesmethod AT ademkılıcman solvingfractionalpartialdifferentialequationswithcorrectedfourierseriesmethod |