Solving Generalized Wave and Heat Equations Using Linear Canonical Transform and Sampling Formulae
Several essential properties of the linear canonical transform (LCT) are provided. Some results related to the sampling theorem in the LCT domain are investigated. Generalized wave and heat equations on the real line are introduced, and their solutions are constructed using the sampling formulae. So...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2020/1273194 |
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| _version_ | 1832546830895808512 |
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| author | Mawardi Bahri Ryuichi Ashino |
| author_facet | Mawardi Bahri Ryuichi Ashino |
| author_sort | Mawardi Bahri |
| collection | DOAJ |
| description | Several essential properties of the linear canonical transform (LCT) are provided. Some results related to the sampling theorem in the LCT domain are investigated. Generalized wave and heat equations on the real line are introduced, and their solutions are constructed using the sampling formulae. Some examples are presented to illustrate our results. |
| format | Article |
| id | doaj-art-b58d0db02ebd4b6f82a2f1170fb3b0e0 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b58d0db02ebd4b6f82a2f1170fb3b0e02025-02-03T06:46:59ZengWileyAbstract and Applied Analysis1085-33751687-04092020-01-01202010.1155/2020/12731941273194Solving Generalized Wave and Heat Equations Using Linear Canonical Transform and Sampling FormulaeMawardi Bahri0Ryuichi Ashino1Department of Mathematics, Hasanuddin University, Makassar 90245, IndonesiaDivision of Mathematical Sciences, Osaka Kyoiku University, Osaka 582-8582, JapanSeveral essential properties of the linear canonical transform (LCT) are provided. Some results related to the sampling theorem in the LCT domain are investigated. Generalized wave and heat equations on the real line are introduced, and their solutions are constructed using the sampling formulae. Some examples are presented to illustrate our results.http://dx.doi.org/10.1155/2020/1273194 |
| spellingShingle | Mawardi Bahri Ryuichi Ashino Solving Generalized Wave and Heat Equations Using Linear Canonical Transform and Sampling Formulae Abstract and Applied Analysis |
| title | Solving Generalized Wave and Heat Equations Using Linear Canonical Transform and Sampling Formulae |
| title_full | Solving Generalized Wave and Heat Equations Using Linear Canonical Transform and Sampling Formulae |
| title_fullStr | Solving Generalized Wave and Heat Equations Using Linear Canonical Transform and Sampling Formulae |
| title_full_unstemmed | Solving Generalized Wave and Heat Equations Using Linear Canonical Transform and Sampling Formulae |
| title_short | Solving Generalized Wave and Heat Equations Using Linear Canonical Transform and Sampling Formulae |
| title_sort | solving generalized wave and heat equations using linear canonical transform and sampling formulae |
| url | http://dx.doi.org/10.1155/2020/1273194 |
| work_keys_str_mv | AT mawardibahri solvinggeneralizedwaveandheatequationsusinglinearcanonicaltransformandsamplingformulae AT ryuichiashino solvinggeneralizedwaveandheatequationsusinglinearcanonicaltransformandsamplingformulae |