한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)
- 제13권1호
- /
- Pages.19-38
- /
- 2006
- /
- 1226-0657(pISSN)
- /
- 2287-6081(eISSN)
TIME DISCRETIZATION WITH SPATIAL COLLOCATION METHOD FOR A PARABOLIC INTEGRO-DIFFERENTIAL EQUATION WITH A WEAKLY SINGULAR KERNEL
- Kim Chang-Ho (DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE OF KONKUK UNIVERSITY)
- 발행 : 2006.02.01
초록
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.
키워드