A new collocation-type method for Hammerstein integral equations

Authors:
Sunil Kumar and Ian H. Sloan

Journal:
Math. Comp. **48** (1987), 585-593

MSC:
Primary 65R20; Secondary 45G10

DOI:
https://doi.org/10.1090/S0025-5718-1987-0878692-4

MathSciNet review:
878692

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Abstract | References | Similar Articles | Additional Information

Abstract: We consider Hammerstein equations of the form

*y*is then obtained by use of the (exact) equation

*y*, are discussed. The main result in the paper is that, under suitable conditions, the resulting approximation to

*y*converges to the exact solution at a rate at least equal to that of the best approximation to

*z*from the space in which the collocation solution is sought.

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DOI:
https://doi.org/10.1090/S0025-5718-1987-0878692-4

Article copyright:
© Copyright 1987
American Mathematical Society