바로가기메뉴

본문 바로가기 주메뉴 바로가기

logo

  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

논문 상세

이전 다음
논문 투고

Vol.13 No.1

Citation Share

TIME DISCRETIZATION WITH SPATIAL COLLOCATION METHOD FOR A PARABOLIC INTEGRO-DIFFERENTIAL EQUATION WITH A WEAKLY SINGULAR KERNEL

Time Discretization with Spatial Collocation Method for a Parabolic Integro-Differential Equation with a weakly Singular Kernel

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2006, v.13 no.1, pp.19-38
Kim Chang-Ho (DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE OF KONKUK UNIVERSITY)
Kim Chang-Ho. (2006). TIME DISCRETIZATION WITH SPATIAL COLLOCATION METHOD FOR A PARABOLIC INTEGRO-DIFFERENTIAL EQUATION WITH A WEAKLY SINGULAR KERNEL. , 13(1), 19-38.

Abstract

We analyze the spectral collocation approximation for a parabolic partial integrodifferential equations(PIDE) with a weakly singular kernel. The space discretization is based on the spectral collocation method and the time discretization is based on Crank-Nicolson scheme with a graded mesh. We obtain the stability and second order convergence result for fully discrete scheme.

keywords
integro-differential equation, weakly singular kernel, time discretization, spectral collocation method

한국수학교육학회지시리즈B:순수및응용수학

논문 투고 OA 정책