Bulletin of Computational Applied Mathematics (Dec 2013)
Numerical solution for a family of delay functional differential equations using step by step Tau approximations
Abstract
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.
