SciCADE99
 

Abstract

    

Numerical Methods and Numerical Stability of Singularly Perturbed Delay Differential Equations

Hongjiong Tian
tian@ma.man.ac.uk
Department of Mathematics, University of Manchester, UK

The equation
e*y'e(t) = a*ye(t) + b*ye(t-tau)
represents a simple singular perturbation problem in delay differential equations. There are a number of realistic equations of similar type in the literature. We ask what happens to ye(t) as e tends to 0 and what happens to the corresponding numerical solution Ye(t) defined by a standard formula as the discrete mesh is refined. In addition, we present some uniformly convergent exponentially fitted methods.

MINISIMPOSIUM SESSION: 3. Numerical methods for delay equations (2 sessions)

Submitted: 06/Apr/99
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