ID-Wavelets Method for Hammerstein Integral Equations

ID-Wavelets Method for Hammerstein Integral Equations

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.

Author Details

Xianbiao Wang

Wei Lin