(A) hermite collocation method for the abel integral equations using transformation = 변환을 이용한 Abel 적분 방정식에 대한 Hermite 선점법

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The solution of the Abel Volterra integral equations has, in general, unbounded derivatives at the endpoint of the interval of integral. Under certain transformation of Abel Volterra integral equations, the transformed solution has bounded derivatives at the endpoint. In this thesis, we apply a Hermite collocation methods to the transformed Abel-Volterra integral equations. The method is shown to be convergent $N^{-4}$, where N is mesh size. Many numerical examples are included and numerical data have been generated to confirm our findings.
Advisors
Choi, U-Jinresearcher최우진researcher
Description
한국과학기술원 : 수학과,
Publisher
한국과학기술원
Issue Date
1995
Identifier
98716/325007 / 000933196
Language
eng
Description

학위논문(석사) - 한국과학기술원 : 수학과, 1995.2, [ [ii], 30 p. ]

URI
http://hdl.handle.net/10203/42403
Link
http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=98716&flag=dissertation
Appears in Collection
MA-Theses_Master(석사논문)
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