Year: 2009
International Journal of Numerical Analysis and Modeling, Vol. 6 (2009), Iss. 4 : pp. 696–710
Abstract
In the present paper, we discuss the superconvergence of the interpolated Galerkin solutions for Hammerstein equations. With the interpolation post-processing for the Galerkin approximation $x_h$, we get a higher order approximation $I_{2h}^{2r-1}x_h$, whose convergence order is the same as that of the iterated Galerkin solution. Such an interpolation post-processing method is much simpler than the iterated method especially for the weak singular kernel case. Some numerical experiments are carried out to demonstrate the effectiveness of the interpolation post-processing method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-IJNAM-792
International Journal of Numerical Analysis and Modeling, Vol. 6 (2009), Iss. 4 : pp. 696–710
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: Superconvergence interpolation post-processing iterated Galerkin method Hammerstein equations smooth and weakly singular kernels.