Superconvergence of interpolated collocation solutions for Hammerstein equations |
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| Authors: | Qiumei Huang Shuhua Zhang |
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| Institution: | 1. LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China;2. Department of Mathematics, Tianjin University of Finance and Economics, Tianjin 300222, People's Republic of China |
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| Abstract: | In this article, we discuss the superconvergence of the interpolated collocation solutions for Hammerstein equations. Applying this new interpolation postprocessing to the collocation approximation xh, we get a higher accuracy approximation I xh, 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. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2010 |
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| Keywords: | superconvergence interpolation postprocessing the iterated collocation method Hammerstein equations smooth and weakly singular kernels |
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