Abstract
The numerical solutions to the nonlinear integral equations of the Hammerstein-type: y ( t ) = f ( t ) + ∫ 0 1 k ( t , s ) g ( s , y ( s ) ) d s , t ∈ [ 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.
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