收录:
摘要:
In this paper, we discuss the superconvergence of the "interpolated" collocation solutions for weakly singular Volterra integral equations of the second kind. Based on the collocation solution u(h), two different interpolation postprocessing approximations of higher accuracy: I-2h(2m-1) u(h) based on the collocation points and I(2h)(m)u(h) based on the least square scheme are constructed, whose convergence order are the same as that of the iterated collocation solution. Such interpolation postprocessing methods are much simpler in computation. We further apply this interpolation postprocessing technique to hybrid collocation solutions and similar results are obtained. Numerical experiments are shown to demonstrate the efficiency of the interpolation postprocessing methods.
关键词:
通讯作者信息:
电子邮件地址:
来源 :
COMPUTATIONAL & APPLIED MATHEMATICS
ISSN: 2238-3603
年份: 2021
期: 3
卷: 40
2 . 6 0 0
JCR@2022
ESI学科: MATHEMATICS;
ESI高被引阀值:31
JCR分区:1