Document Type

Article

Publication Date

1992

DOI

10.1216/jiea/1181075699

Publication Title

Journal of Integral Equations and Applications

Volume

4

Issue

3

Pages

391-407

Abstract

In the recent paper [7], it was shown that the solutions of weakly singular Hammerstein equations satisfy certain regularity properties. Using this result, the optimal convergence rate of a standard piecewise polynomial collocation method and that of the recently proposed collocationtype method of Kumar and Sloan [10] are obtained. Superconvergence of both of these methods are also presented. In the final section, we discuss briefly a standard productintegration method for weakly singular Hammerstein equations and indicate its superconvergence property. © 1992 Rocky Mountain Mathematics Consortium.

Original Publication Citation

Kaneko, H., Noren, R. D., & Xu, Y. (1992). Numerical solutions for weakly singular Hammerstein equations and their superconvergence. Journal of Integral Equations and Applications, 4(3), 391-407. doi:10.1216/jiea/1181075699

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