The collocation method for Hammerstein equations by Daubechies wavelets

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摘要

The numerical solutions to the nonlinear integral equations of Hammerstein-typey(t)=f(t)+∫01k(t,s)g(s,y(s))ds,t∈[0,1]with using Daubechies wavelets are investigated. A general kernel scheme basing on Daubechies wavelets combined with a collocation method is presented. The approach of creating Daubechies interval wavelets and their main properties are briefly mentioned. Also we present an algorithm for computing of Daubechies wavelets in collocation points. The rate of approximation solution converging to the exact solution is given. Finally we also give some numerical examples for showing efficiency of the method.

论文关键词:Cascade algorithm,Daubechies wavelets,Bezout polynomials,Collocation method,Nonlinear integral equations

论文评审过程:Available online 5 May 2005.

论文官网地址:https://doi.org/10.1016/j.amc.2005.02.042