Superconvergence of Interpolated Collocation Solutions for Hammerstein Equations

被引：15

作者：

Huang, Qiumei ^{[1
]}

Zhang, Shuhua ^{[2
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China

[2] Tianjin Univ Finance & Econ, Dept Math, Tianjin 300222, Peoples R China

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2010年 / 26卷 / 02期

基金：

中国国家自然科学基金;

关键词：

superconvergence; interpolation postprocessing; the iterated collocation method; Hammerstein equations; smooth and weakly singular kernels; VOLTERRA INTEGRAL-EQUATIONS; PATCH RECOVERY TECHNIQUE; ITERATED COLLOCATION; 2ND KIND; ULTRACONVERGENCE; GALERKIN; KERNEL;

D O I：

10.1002/num.20429

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we discuss the superconvergence of the interpolated collocation solutions for Hammerstein equations. Applying this new interpolation postprocessing to the collocation approximation x(h), We get a higher accuracy approximation I(2h)(2r-1)x(h), whose convergence order is the same as that of the iterated collocation method. Such an interpolation postprocessing method is much simpler. Also, numerical experiments are shown to demonstrate the efficiency of the interpolation postprocessing method. (C) 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 26: 290-304, 2010

引用

页码：290 / 304

页数：15

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