http://scholars.ntou.edu.tw/handle/123456789/20843
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.author | Jen-Yi Chang | en_US |
dc.contributor.author | Chia-Cheng Tsai | en_US |
dc.contributor.author | D. L. Young | en_US |
dc.date.accessioned | 2022-03-02T02:14:26Z | - |
dc.date.available | 2022-03-02T02:14:26Z | - |
dc.date.issued | 2019-08 | - |
dc.identifier.uri | http://scholars.ntou.edu.tw/handle/123456789/20843 | - |
dc.description.abstract | In this study, we propose a meshless and boundary-type numerical method, namely the homotopy method of fundamental solutions (HMFS), to solve the steady-state nonlinear heat conduction problems in two dimensions. The HMFS is composed by the homotopy analysis method (HAM) and the method of fundamental solutions (MFS). In the solution procedure, the Kirchhoff transformation is employed to transform the nonlinear governing partial differential equation into the Laplace equation with nonlinear boundary conditions. Sequentially, the HAM is applied to convert the Laplace equation with nonlinear boundary conditions into a sequence of the Laplace equation with linear boundary conditions, which can be solved by the MFS. In order to solve strongly nonlinear problems, a convergence control parameter is introduced to ensure the solution convergence of the prescribed sequence of problems. Several numerical experiments were carried out to validate the proposed method. In addition, a multiple-precision computing is performed to demonstrate the exponential convergence of the HMFS in both the spatial and homotopy coordinates for solving nonlinear heat conduction problems. Finally, bi-material and irregular-domain problems are also considered. | en_US |
dc.language.iso | en_US | en_US |
dc.publisher | Elsevier | en_US |
dc.relation.ispartof | Engineering Analysis with Boundary Elements | en_US |
dc.subject | Homotopy analysis method | en_US |
dc.subject | Method of fundamental solutions | en_US |
dc.subject | Kirchhoff transformation | en_US |
dc.subject | Nonlinear heat conduction | en_US |
dc.title | Homotopy method of fundamental solutions for solving nonlinear heat conduction problems | en_US |
dc.type | journal issue | en_US |
dc.identifier.doi | 10.1016/j.enganabound.2019.08.004 | - |
dc.relation.journalvolume | 108 | en_US |
dc.relation.pages | 179-191 | en_US |
item.cerifentitytype | Publications | - |
item.grantfulltext | none | - |
item.openairetype | journal issue | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.fulltext | no fulltext | - |
item.languageiso639-1 | en_US | - |
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.orcid | http://orcid.org/0000-0002-4464-5623 | - |
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 | - |
顯示於: | 海洋工程科技學士學位學程(系) |
在 IR 系統中的文件,除了特別指名其著作權條款之外,均受到著作權保護,並且保留所有的權利。