Abstract:
A fitted modified upwind finite difference method is
presented for solving singularly perturbed boundary value problems
with delay δ and advance η parameters that are sufficiently small.
The second order singularly perturbed differential difference equation
is replaced by an asymptotically equivalent singularly perturbed
boundary value problem. A fitting factor is introduced in a modified
finite difference scheme and is obtained from the theory of singular
perturbations. Thomas Algorithm is used to solve the system and its
stability is investigated. The method is demonstrated by
implementing several model examples by taking various values for
the delay parameterδ , advance parameter η and the perturbation
parameterε .
