The discrete collocation method for nonlinear integral equations

Publisher Website
Google Scholar
Abstract
The collocation method for solving linear and nonlinear integral equations results in many integrals which must be evaluated numerically. In this paper, we give a general framework for discrete collocation methods, in which all integrals are replaced by numerical integrals. In some cases, the collocation method leads to solutions which are superconvergent at the collocation node points. We consider generalizations of these results, to obtain similar results for discrete collocation solutions. Lastly, we consider a variant due to Kumar and Sloan for the collocation solution of Hammerstein integral equations.

This publication has 0 references indexed in Scilit: