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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Hindawi Publishing Corporation
2014
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| Online Access: | http://psasir.upm.edu.my/id/eprint/35414/1/Solving%20Fractional%20Partial%20Differential%20Equations%20with%20Corrected.pdf |
| _version_ | 1825948642114011136 |
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| author | Zainal, Nor Hafizah Kilicman, Adem |
| author_facet | Zainal, Nor Hafizah Kilicman, Adem |
| author_sort | Zainal, Nor Hafizah |
| collection | UPM |
| 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. |
| first_indexed | 2024-03-06T08:32:15Z |
| format | Article |
| id | upm.eprints-35414 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T08:32:15Z |
| publishDate | 2014 |
| publisher | Hindawi Publishing Corporation |
| record_format | dspace |
| spelling | upm.eprints-354142016-01-11T01:32:31Z http://psasir.upm.edu.my/id/eprint/35414/ Solving fractional partial differential equations with corrected Fourier series method Zainal, Nor Hafizah Kilicman, Adem 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. Hindawi Publishing Corporation 2014 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/35414/1/Solving%20Fractional%20Partial%20Differential%20Equations%20with%20Corrected.pdf Zainal, Nor Hafizah and Kilicman, Adem (2014) Solving fractional partial differential equations with corrected Fourier series method. Abstract and Applied Analysis, 2014. art. no. 958931. pp. 1-5. ISSN 1085-3375; ESSN: 1687-0409 http://www.hindawi.com/journals/aaa/2014/958931/abs/ 10.1155/2014/958931 |
| spellingShingle | Zainal, Nor Hafizah Kilicman, Adem Solving fractional partial differential equations with corrected Fourier series method |
| 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://psasir.upm.edu.my/id/eprint/35414/1/Solving%20Fractional%20Partial%20Differential%20Equations%20with%20Corrected.pdf |
| work_keys_str_mv | AT zainalnorhafizah solvingfractionalpartialdifferentialequationswithcorrectedfourierseriesmethod AT kilicmanadem solvingfractionalpartialdifferentialequationswithcorrectedfourierseriesmethod |