The discrete collocation method for Fredholm-Hammerstein integral equations based on moving least squares method. (English) Zbl 1347.65195
The authors present a discrete collocation method for Fredholm-Hammerstein integral equations based on moving least squares (MLS) method. They first introduce some basic formulation and properties of the MLS method and then present a computational method for solving
\[
u(t)=f(t)+\int_{0}^{1}K(t,s)\psi(s,u(s))ds, \,0<t<1,
\]
using the MLS method. Error estimates are also given and numerical results are presented to illustrate the theory discussed.
Reviewer: Seenith Sivasundaram (Daytona Beach)
MSC:
| 65R20 | Numerical methods for integral equations |
| 45G10 | Other nonlinear integral equations |
| 45B05 | Fredholm integral equations |
| 47H30 | Particular nonlinear operators (superposition, Hammerstein, Nemytskiĭ, Uryson, etc.) |
Keywords:
Fredholm-Hammerstein integral equations; moving least squares method; meshless method; error analysis; collocation method; numerical resultReferences:
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