Numerical solution of Hammerstein integral equations by using combination of spline-collocation method and Lagrange interpolation

作者：Maleknejad K^*; Derilli H

来源：Applied Mathematics and Computation, 2007, 190(2): 1557-1562.

DOI：10.1016/j.amc.2007.02.031

• Lagrange interpolation
• spline-collocation method
• B-splines
• Clenshaw-Curtis quadrature method
• Hammerstein integral equation

The numerical solutions to the nonlinear integral equations of the Hammerstein-type:
y(t) = f(t) + integral(1)(0)k(t,s)g(s,y(s))ds, t epsilon [0,1]
with using B-splines functions are investigated. An interpolation method based on B-splines functions combined with a new collocation method is presented. Finally, for showing efficiency of the method we give some numerical examples.

• 出版日期2007-7-15