The Collocation Method in the Numerical Solution of Boundary Value Problems for Neutral Functional Differential Equations. Part II: Differential Equations with Deviating Arguments

We consider the numerical solution of boundary value problems for neutral differential equations with deviating arguments by the collocation method, which includes the finite element method and the spectral element method. By using the results of Part I [SIAM J. Numer. Anal., 53 (2015), pp. 2771--2793] of this paper, we obtain concrete convergence theorems for this particular type of functional differential equations.