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The numerical solution of boundary-value problems for differential equations with state dependent deviating arguments. (English) Zbl 0669.65065
This paper deals with a numerical solution of a second order boundary value problem with state dependent deviating argument. The presented method is obtained by approximating the second derivative by a second order difference operator and approximating the solutions at non-grid points by piecewise cubic interpolation. Second order convergence is established and a theorem about the asymptotic expansion of the global discretization error is given. The results are illustrated by some numerical examples.
Reviewer: P.Chocholatý

65L10 Numerical solution of boundary value problems involving ordinary differential equations
34K10 Boundary value problems for functional-differential equations
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