http://scholars.ntou.edu.tw/handle/123456789/17492
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.author | Liu, Chih-Yu | en_US |
dc.contributor.author | Ku, Cheng-Yu | en_US |
dc.contributor.author | Hong, Li-Dan | en_US |
dc.contributor.author | Hsu, Shih-Meng | en_US |
dc.date.accessioned | 2021-08-05T02:15:06Z | - |
dc.date.available | 2021-08-05T02:15:06Z | - |
dc.date.issued | 2021-07-01 | - |
dc.identifier.uri | http://scholars.ntou.edu.tw/handle/123456789/17492 | - |
dc.description.abstract | In this article, a novel infinitely smooth polyharmonic radial basis function (PRBF) collocation method for solving elliptic partial differential equations (PDEs) is presented. The PRBF with natural logarithm is a piecewise smooth function in the conventional radial basis function collocation method for solving governing equations. We converted the piecewise smooth PRBF into an infinitely smooth PRBF using source points collocated outside the domain to ensure that the radial distance was always greater than zero to avoid the singularity of the conventional PRBF. Accordingly, the PRBF and its derivatives in the governing PDEs were always continuous. The seismic wave propagation problem, groundwater flow problem, unsaturated flow problem, and groundwater contamination problem were investigated to reveal the robustness of the proposed PRBF. Comparisons of the conventional PRBF with the proposed method were carried out as well. The results illustrate that the proposed approach could provide more accurate solutions for solving PDEs than the conventional PRBF, even with the optimal order. Furthermore, we also demonstrated that techniques designed to deal with the singularity in the original piecewise smooth PRBF are no longer required. | en_US |
dc.language.iso | English | en_US |
dc.publisher | MDPI | en_US |
dc.relation.ispartof | MATHEMATICS | en_US |
dc.subject | partial differential equations | en_US |
dc.subject | polyharmonic | en_US |
dc.subject | radial basis function | en_US |
dc.subject | source point | en_US |
dc.subject | collocation method | en_US |
dc.title | Infinitely Smooth Polyharmonic RBF Collocation Method for Numerical Solution of Elliptic PDEs | en_US |
dc.type | journal article | en_US |
dc.identifier.doi | 10.3390/math9131535 | - |
dc.identifier.isi | WOS:000670915700001 | - |
dc.relation.journalvolume | 9 | en_US |
dc.relation.journalissue | 13 | en_US |
item.openairecristype | http://purl.org/coar/resource_type/c_6501 | - |
item.openairetype | journal article | - |
item.languageiso639-1 | English | - |
item.grantfulltext | none | - |
item.cerifentitytype | Publications | - |
item.fulltext | no fulltext | - |
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 | Doctorate Degree Program in Ocean Engineering and Technology | - |
crisitem.author.dept | College of Ocean Science and Resource | - |
crisitem.author.dept | Institute of Earth Sciences | - |
crisitem.author.dept | Center of Excellence for Ocean Engineering | - |
crisitem.author.dept | Ocean Energy and Engineering Technology | - |
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.orcid | 0000-0001-8533-0946 | - |
crisitem.author.orcid | 0000-0001-5283-6393 | - |
crisitem.author.parentorg | National Taiwan Ocean University,NTOU | - |
crisitem.author.parentorg | College of Engineering | - |
crisitem.author.parentorg | College of Engineering | - |
crisitem.author.parentorg | National Taiwan Ocean University,NTOU | - |
crisitem.author.parentorg | College of Ocean Science and Resource | - |
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 | - |
顯示於: | 河海工程學系 |
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