New approach to the numerical solution of forward-backward equations ∗

@inproceedings{TEODORO2009NewAT,
  title={New approach to the numerical solution of forward-backward equations ∗},
  author={∗ Filomena TEODORO and Pedro Miguel Lima and Neville J. Ford and Patricia M. Lumb and F Quiles Teodoro},
  year={2009}
}
This paper is concerned with the approximate solution of functional differential equations having the form: x(t) = αx(t) + βx(t − 1) + γx(t + 1). We search for a solution x, defined for t ∈ [−1, k], k ∈ N, which takes given values on intervals [−1, 0] and (k− 1, k]. We introduce and analyse some new computational methods for the solution of this problem. Numerical results are presented and compared with the results obtained by other methods. 

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