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New approach to the numerical solution of forward-backward equations

Teodoro, Filomena; Lima, Pedro M.; Ford, N.; Lumb, P.

Frontiers of Mathematics in China, 4(1) (2009), 155-168

This paper is concerned with the approximate solution of functional differential equations having the form. We search for a solution x, defined for .. 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.