Abstract
Here a posteriori error estimate for the numerical solution of nonlinear Voltena-
Hammerstein equations is given. We present an error upper bound for nonlinear
Voltena-Hammastein integral equations, in which the form of nonlinearity is
algebraic and develop a posteriori error estimate for the recently proposed method of
Brunner for these problems (the implicitly linear collocation method).We also
generalize this upper bound for nonlinear Volterra integro-differential and Volterra-
Hammerstein integral equations of mixed type . Finally, several numerical examples
are gken to show effectiveness of these bounds
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