#### (A) hermite collocation method for the weaklysingular second kind volterra integral equation = 약한 특이점을 갖는 이차 Volterra 적분방정식의 hermite collocation 근사 해법

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Collocation type methods are studied for the numerical solution of the weakly singular Volterra integral equation of the second kind which has nonsmooth solution near zero. The solution is approximated near zero by a linear combination of powers of $t^{\frac{1}{2}}$, and away from zero by a cubic spline in the continuity class $C^1$. The method shows that the order of convergence depends on the behavior of the solution near zero and presents the exact order of convergence. Some numerical examples are included.
Choi, U-Jinresearcher최우진researcher
Description
한국과학기술원 : 수학과,
Publisher
한국과학기술원
Issue Date
1992
Identifier
68247/325007 / 000901541
Language
eng
Description

학위논문(석사) - 한국과학기술원 : 수학과, 1992.8, [ [ii], 24, [3] p. ]

URI
http://hdl.handle.net/10203/42354