Verification of boundary integral equation for conformal mapping of doubly connected regions onto a disk with a slit
In this study, we discussed a new Fredholm integral equation of the second kind with classical Neumann kernel associated to ????, where ? is a conformal mapping of bounded multiply connected regions onto a disk with slit domain. The boundary integral equation is constructed from a boundary relations...
保存先:
| 第一著者: | |
|---|---|
| フォーマット: | 学位論文 |
| 出版事項: |
2010
|
| 主題: | |
| オンライン･アクセス: | http://eprints.utm.my/id/eprint/19163/ |
| タグ: |
タグ追加
タグなし, このレコードへの初めてのタグを付けませんか!
|
| id |
my.utm.19163 |
|---|---|
| record_format |
eprints |
| spelling |
my.utm.191632020-02-09T03:34:08Z http://eprints.utm.my/id/eprint/19163/ Verification of boundary integral equation for conformal mapping of doubly connected regions onto a disk with a slit Lai, Tze Wee QA Mathematics TA Engineering (General). Civil engineering (General) In this study, we discussed a new Fredholm integral equation of the second kind with classical Neumann kernel associated to ????, where ? is a conformal mapping of bounded multiply connected regions onto a disk with slit domain. The boundary integral equation is constructed from a boundary relationship satisfied by a function that is analytic on a multiply connected region. The boundary integral equation is linear and does not contain any unknown radii. For numerical verification, we parameterized and discretized the integral equation by using the Nyström’s method with trapezoidal rule. Five test bounded doubly connected regions are chosen to verify the new boundary integral equation using the exact mapping functions. The five test regions are annulus, circular frame, frame of Limacon, elliptic frame and frame of Cassini’s oval. 2010-11 Thesis NonPeerReviewed Lai, Tze Wee (2010) Verification of boundary integral equation for conformal mapping of doubly connected regions onto a disk with a slit. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science. |
| institution |
Universiti Teknologi Malaysia |
| building |
UTM Library |
| collection |
Institutional Repository |
| continent |
Asia |
| country |
Malaysia |
| content_provider |
Universiti Teknologi Malaysia |
| content_source |
UTM Institutional Repository |
| url_provider |
http://eprints.utm.my/ |
| topic |
QA Mathematics TA Engineering (General). Civil engineering (General) |
| spellingShingle |
QA Mathematics TA Engineering (General). Civil engineering (General) Lai, Tze Wee Verification of boundary integral equation for conformal mapping of doubly connected regions onto a disk with a slit |
| description |
In this study, we discussed a new Fredholm integral equation of the second kind with classical Neumann kernel associated to ????, where ? is a conformal mapping of bounded multiply connected regions onto a disk with slit domain. The boundary integral equation is constructed from a boundary relationship satisfied by a function that is analytic on a multiply connected region. The boundary integral equation is linear and does not contain any unknown radii. For numerical verification, we parameterized and discretized the integral equation by using the Nyström’s method with trapezoidal rule. Five test bounded doubly connected regions are chosen to verify the new boundary integral equation using the exact mapping functions. The five test regions are annulus, circular frame, frame of Limacon, elliptic frame and frame of Cassini’s oval. |
| format |
Thesis |
| author |
Lai, Tze Wee |
| author_facet |
Lai, Tze Wee |
| author_sort |
Lai, Tze Wee |
| title |
Verification of boundary integral equation for conformal mapping of doubly connected regions onto a disk with a slit |
| title_short |
Verification of boundary integral equation for conformal mapping of doubly connected regions onto a disk with a slit |
| title_full |
Verification of boundary integral equation for conformal mapping of doubly connected regions onto a disk with a slit |
| title_fullStr |
Verification of boundary integral equation for conformal mapping of doubly connected regions onto a disk with a slit |
| title_full_unstemmed |
Verification of boundary integral equation for conformal mapping of doubly connected regions onto a disk with a slit |
| title_sort |
verification of boundary integral equation for conformal mapping of doubly connected regions onto a disk with a slit |
| publishDate |
2010 |
| url |
http://eprints.utm.my/id/eprint/19163/ |
| _version_ |
1662754232767348736 |
| score |
13.251813 |