TY - JOUR
T1 - ID-Wavelets Method for Hammerstein Integral Equations
AU - Wang , Xianbiao
AU - Lin , Wei
JO - Journal of Computational Mathematics
VL - 6
SP - 499
EP - 508
PY - 1998
DA - 1998/12
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9177.html
KW - Nonlinear integral equation, interval wavelets, degenerate kernel.
AB - <p style="text-align: justify;">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.</p>