PENDEKATAN KERNEL UNTUK SEBARAN TEMPERATUR DAN BAHAN PADA PERMUKAAN BOLA DUA DIMENSI
Temperature distribution on two dimensional sphere has been gained from diffution formulation using heat kernel estimation. The compactly sphere made the Ricci curved scalar became non-negative. As a concequence, the kernel satisfied LiYau estimation. Then, the obtained kernel equation was used to c...
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| Main Authors: | , |
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| Format: | Theses and Dissertations NonPeerReviewed |
| Published: |
[Yogyakarta] : Universitas Gadjah Mada
2014
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| Subjects: | |
| Online Access: | https://repository.ugm.ac.id/133793/ http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=74618 |
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| Summary: | Temperature distribution on two dimensional sphere has been gained from
diffution formulation using heat kernel estimation. The compactly sphere made the
Ricci curved scalar became non-negative. As a concequence, the kernel satisfied LiYau estimation. Then, the obtained kernel equation was used to calculate the temperature and substance distribution by using three kind of sources: (1) the instantenious
pointlike source, (2) periodically instaneous pointlike source, (3) the time dependet
pointlike source. Heat distribution and diffusion which were plotted by using software of Mathematica showed there were differences of final temperature of that cases. |
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