abstract 07


7
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
a1(t) y'(t) = y(t)[a2(t) y(t-τ) + a3(t) y'(t-τ) + a4(t)] + a5(t) y(t-τ) + a6(t) y'(t-τ) + a7(t), t ≥ 0
y(t) = Ψ(t), t ≤ 0
which represents, for particular values of ai(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