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A collocation method for the Gurtin-MacCamy equation with finite life-span SCIE SCOPUS

Title
A collocation method for the Gurtin-MacCamy equation with finite life-span
Authors
Kim, MYKwon, Y
Date Issued
2002-04-11
Publisher
SIAM PUBLICATIONS
Abstract
A collocation method along the characteristics for a stiff problem arising from population dynamics is proposed and analyzed. It is a fourth order implicit Runge-Kutta method of two stage to the integration of the ODE along the characteristics, whose collocation points are zeros of the linearly transformed Legendre monic polynomial. Nonnegativity of the numerical solutions is shown. The stability of the method is discussed. It is proven that the scheme is convergent at a fourth order rate in the maximum norm. Several numerical examples are presented.
URI
https://oasis.postech.ac.kr/handle/2014.oak/12932
DOI
10.1137/S0036142900370927
ISSN
0036-1429
Article Type
Article
Citation
SIAM JOURNAL ON NUMERICAL ANALYSIS, vol. 39, no. 6, page. 1914 - 1937, 2002-04-11
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권용훈KWON, YONGHOON
Dept of Mathematics
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