Survey on numerical and analytical methods for singularly perturbed differential-difference equations

  • Shilpa Malge Symbiosis International University, Symbiosis Institute of Technology, Pune
  • Ram Kishun Lodhi Symbiosis International University, Symbiosis Institute of Technology, Pune

Abstract

In this paper, we present a brief survey of new results in the field of singularly perturbed differential-difference equations (SPDDEs) that have been tackled in recent years. Such type of problem arises in mathematical modelling of various practical phenomenons in control theory, physical systems like optically bi-stable devices, biological systems such as, the study of activities of neurons and also in different models for physiological processes. The objective of this study is to find what methods are applied for SPDDEs so far and to determine the further scope in this area.

Published
2022-05-23