Properties of the method of successive approximations for two-point boundary value problems
Alexandru Mihai Bica
Department of Mathematics and Informatics, University of Oradea
Received May 29, 2011
Accepted June 24, 2011
Communicated by Gaston M. N’Guérékata
|Abstract. The convergence and numerical stability properties of the method of successive approximations applied to two-point boundary value problems for nonlinear second order neutral differential equations in Banach spaces are obtained. The constructed algorithm has a practical stopping criterion and its accuracy is illustrated on three numerical examples.
|Two-point boundary value problem; fixed point technique; approximation of the solution.
|2010 Mathematics Subject Classification: 34B15.