The collocation method for Hammerstein equations by Daubechies wavelets
نویسندگان
چکیده
The numerical solutions to the nonlinear integral equations of Hammerstein-type y(t) =f(t) + 11 k(t,s)g(s,y(s))ds, t E [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 conyerging to the exact solution is given. Finally we also give some numerical examples for showing efficiency of the method. @ 2005 Published by Elsevier Inc.
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ورودعنوان ژورنال:
- Applied Mathematics and Computation
دوره 172 شماره
صفحات -
تاریخ انتشار 2006