An Efficient Method for 3d Helmholtz Equation With Complex Solution
| dc.contributor.author | Heydari, M. H. | |
| dc.contributor.author | Hosseininia, M. | |
| dc.contributor.author | Baleanu, D. | |
| dc.date.accessioned | 2023-11-24T11:43:16Z | |
| dc.date.accessioned | 2025-09-18T12:49:03Z | |
| dc.date.available | 2023-11-24T11:43:16Z | |
| dc.date.available | 2025-09-18T12:49:03Z | |
| dc.date.issued | 2023 | |
| dc.description | Avazzadeh, Zakieh/0000-0003-2257-1798; Heydari, Mohammad Hossein/0000-0001-6764-4394 | en_US |
| dc.description.abstract | The Helmholtz equation as an elliptic partial differential equation possesses many applications in the time-harmonic wave propagation phenomena, such as the acoustic cavity and radiation wave. In this paper, we establish a numerical method based on the orthonormal shifted discrete Chebyshev polynomials for finding complex solution of this equation. The presented method transforms the Helmholtz equation into an algebraic system of equations that can be easily solved. Four practical examples are examined to show the accuracy of the proposed technique. | en_US |
| dc.identifier.citation | Heydari, M.H.; Hosseininia, M.; Baleanu, D. (2023). "An efficient method for 3D Helmholtz equation with complex solution", AIMS Mathematics, Vol8, No.6, pp. 14792-14819. | en_US |
| dc.identifier.doi | 10.3934/math.2023756 | |
| dc.identifier.issn | 2473-6988 | |
| dc.identifier.scopus | 2-s2.0-85153047593 | |
| dc.identifier.uri | https://doi.org/10.3934/math.2023756 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12236 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer inst Mathematical Sciences-aims | en_US |
| dc.relation.ispartof | AIMS Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | 3D Helmholtz Equation | en_US |
| dc.subject | Orthonormal Shifted Discrete Chebyshev Polynomials | en_US |
| dc.subject | Complex Solution | en_US |
| dc.title | An Efficient Method for 3d Helmholtz Equation With Complex Solution | en_US |
| dc.title | An efficient method for 3D Helmholtz equation with complex solution | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Avazzadeh, Zakieh/0000-0003-2257-1798 | |
| gdc.author.id | Heydari, Mohammad Hossein/0000-0001-6764-4394 | |
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| gdc.author.wosid | Heydari, Mohammad/Aab-7776-2022 | |
| gdc.author.wosid | Avazzadeh, Zakieh/Gpw-6384-2022 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Heydari, M. H.; Hosseininia, M.] Shiraz Univ Technol, Dept Math, Shiraz, Iran; [Baleanu, D.] Cankaya Univ, Dept Math, Ankara, Turkiye; [Baleanu, D.] Inst Space Sci, R-76900 Bucharest, Romania; [Baleanu, D.] Lebanese Amer Univ, Beirut, Lebanon | en_US |
| gdc.description.endpage | 14819 | en_US |
| gdc.description.issue | 6 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 14792 | en_US |
| gdc.description.volume | 8 | en_US |
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| gdc.oaire.keywords | 3d helmholtz equation | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | orthonormal shifted discrete chebyshev polynomials | |
| gdc.oaire.keywords | complex solution | |
| gdc.oaire.keywords | Mathematics | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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