http://scholars.ntou.edu.tw/handle/123456789/20879
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.author | Chia-Cheng Tsai | - |
dc.contributor.author | C.S. Chen | - |
dc.contributor.author | Tai-Wen Hsu | - |
dc.date.accessioned | 2022-03-02T02:51:15Z | - |
dc.date.available | 2022-03-02T02:51:15Z | - |
dc.date.issued | 2009-12 | - |
dc.identifier.issn | 0955-7997 | - |
dc.identifier.uri | http://scholars.ntou.edu.tw/handle/123456789/20879 | - |
dc.description.abstract | In this paper we derive analytical particular solutions for the axisymmetric polyharmonic and poly-Helmholtz partial differential operators using Chebyshev polynomials as basis functions. We further extend the proposed approach to the particular solutions of the product of Helmholtz-type operators. By using this formulation, we can approximate the particular solution when the forcing term of the differential equation is approximated by a truncated series of Chebyshev polynomials. These formulas were further implemented to solve inhomogeneous partial differential equations (PDEs) in which the homogeneous solutions were obtained by the method of fundamental solutions (MFS). Several numerical experiments were carried out to validate our newly derived particular solutions. Due to the exponential convergence of Chebyshev interpolation and the MFS, our numerical results are extremely accurate. | - |
dc.language.iso | en_US | - |
dc.relation.ispartof | Engineering Analysis with Boundary Elements | - |
dc.subject | Particular solution | - |
dc.subject | Method of fundamental solutions | - |
dc.subject | Axisymmetric polyharmonic operator | - |
dc.subject | Chebyshev polynomial | - |
dc.title | The method of particular solutions for solving axisymmetric polyharmonic and poly-Helmholtz equations | - |
dc.type | journal article | - |
dc.identifier.doi | 10.1016/j.enganabound.2009.04.013 | - |
dc.identifier.isi | WOS:000270647900007 | - |
dc.identifier.url | <Go to ISI>://WOS:000270647900007 | - |
dc.relation.journalvolume | 33 | - |
dc.relation.journalissue | 12 | - |
dc.relation.pages | 1396–1402 | - |
item.fulltext | no fulltext | - |
item.languageiso639-1 | en_US | - |
item.grantfulltext | none | - |
item.openairetype | journal article | - |
item.openairecristype | http://purl.org/coar/resource_type/c_6501 | - |
item.cerifentitytype | Publications | - |
crisitem.author.dept | College of Engineering | - |
crisitem.author.dept | Bachelor Degree Program in Ocean Engineering and Technology | - |
crisitem.author.dept | National Taiwan Ocean University,NTOU | - |
crisitem.author.dept | Center of Excellence for Ocean Engineering | - |
crisitem.author.dept | Basic Research | - |
crisitem.author.dept | College of Engineering | - |
crisitem.author.dept | Department of Harbor and River Engineering | - |
crisitem.author.dept | National Taiwan Ocean University,NTOU | - |
crisitem.author.dept | Center of Excellence for Ocean Engineering | - |
crisitem.author.dept | Doctorate Degree Program in Ocean Engineering and Technology | - |
crisitem.author.dept | Ocean Energy and Engineering Technology | - |
crisitem.author.orcid | http://orcid.org/0000-0002-4464-5623 | - |
crisitem.author.orcid | 0000-0003-3784-7179 | - |
crisitem.author.parentorg | National Taiwan Ocean University,NTOU | - |
crisitem.author.parentorg | College of Engineering | - |
crisitem.author.parentorg | National Taiwan Ocean University,NTOU | - |
crisitem.author.parentorg | Center of Excellence for Ocean Engineering | - |
crisitem.author.parentorg | National Taiwan Ocean University,NTOU | - |
crisitem.author.parentorg | College of Engineering | - |
crisitem.author.parentorg | National Taiwan Ocean University,NTOU | - |
crisitem.author.parentorg | College of Engineering | - |
crisitem.author.parentorg | Center of Excellence for Ocean Engineering | - |
顯示於: | 河海工程學系 海洋工程科技學士學位學程(系) |
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