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Superconvergence of the iterated collocation methods for Hammerstein equations

โœ Scribed by Hideaki Kaneko; Richard D. Noren; Peter A. Padilla

Book ID
104338419
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
1002 KB
Volume
80
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

In this paper, we analyse the iterated collocation method for Hammerstein equations with smooth and weakly singular kernels. The paper expands the study which began in [ 161 concerning the superconvergence of the iterated Galerkin method for Hammerstein equations. We obtain in this paper a similar superconvergence result for the iterated collocation method for Hammerstein equations. We also discuss the discrete collocation method for weakly singular Hammerstein equations. Some discrete collocation methods for Hammerstein equations with smooth kernels were given previously in [3, 181.

๐Ÿ“œ SIMILAR VOLUMES

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Collocation and iterated collocation methods for a class of weakly singular Volterra integral equations
โœ Teresa Diogo ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 590 KB

We discuss the convergence properties of spline collocation and iterated collocation methods for a weakly singular Volterra integral equation associated with certain heat conduction problems. This work completes the previous studies of numerical methods for this type of equations with noncompact ker