7

René Escalante

We use the segmented formulation of the Tau method to approximate the solutions of a family of linear and nonlinear neutral delay differential equations

a

y(t) = Ψ(t), t ≤ 0

which represents, for particular values of a

Keywords: Alternating generalized projection method, method of generalized projection, method of alternating projection, error sums of distances, product vector space, feasible solution, trap points, intersection of sets

Cite this paper:

Escalante R., Numerical solution for a family of delay functional differential equations

using step by step Tau approximations

Bull. Comput. Appl. Math. (Bull CompAMa),

Vol. 1, No. 2, Jul-Dec, pp.81-91, 2013

**Numerical solution for a family of delay functional differential equations using step by step Tau approximations**René Escalante

We use the segmented formulation of the Tau method to approximate the solutions of a family of linear and nonlinear neutral delay differential equations

a

_{1}(t) y'(t) = y(t)[a_{2}(t) y(t-τ) + a_{3}(t) y'(t-τ) + a_{4}(t)] + a_{5}(t) y(t-τ) + a_{6}(t) y'(t-τ) + a_{7}(t), t ≥ 0y(t) = Ψ(t), t ≤ 0

which represents, for particular values of a

_{i}(t), i=1,7, and τ, functional differential equations that arise in a natural way in different areas of applied mathematics. This paper means to highlight the fact that the step by step Tau method is a natural and promising strategy in the numerical solution of functional differential equations.Keywords: Alternating generalized projection method, method of generalized projection, method of alternating projection, error sums of distances, product vector space, feasible solution, trap points, intersection of sets

Cite this paper:

Escalante R., Numerical solution for a family of delay functional differential equations

using step by step Tau approximations

Bull. Comput. Appl. Math. (Bull CompAMa),

Vol. 1, No. 2, Jul-Dec, pp.81-91, 2013