Year: 1998
Author: Xianbiao Wang, Wei Lin
Journal of Computational Mathematics, Vol. 16 (1998), Iss. 6 : pp. 499–508
Abstract
The numerical solutions to the nonlinear integral equations of Hammerstein-type $$ y (t)=f (t)+\int^1_0 k (t, s) g (s, y (s)) ds, \quad t\in [0,1] $$ are investigated. A degenerate kernel scheme basing on ID-wavelets combined with a new collocation-type method is presented. The Daubechies interval wavelets and their main properties are briefly mentioned. The rate of approximation solution converging to the exact solution is given. Finally we also give two numerical examples.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1998-JCM-9177
Journal of Computational Mathematics, Vol. 16 (1998), Iss. 6 : pp. 499–508
Published online: 1998-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Nonlinear integral equation interval wavelets degenerate kernel.