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Differential Equations and Numerical Analysis pp 41–62Cite as

Singularly Perturbed Delay Differential Equations and Numerical Methods

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 172))

Abstract

The main objective of my talk is to discuss some numerical methods for singularly perturbed delay differential equations. First some well-known mathematical models represented by differential equations with out delay and with delay are presented. Then some basic numerical methods for delay differential equations are briefly described. After this an introduction to singularly perturbed delay problems is given. Finally some numerical methods for these problems are discussed.

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Author information

Authors and Affiliations

  1. Department of Mathematics, School of Mathematical Sciences, Bharathidasan University, Tiruchirappalli, 620024, Tamil Nadu, India

    Ramanujam Narasimhan

Authors
  1. Ramanujam Narasimhan
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Correspondence to Ramanujam Narasimhan .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Bishop Heber College, Tiruchirappalli, Tamil Nadu, India

    Valarmathi Sigamani

  2. Institute for Numerical Computation and Analysis, Dublin, Ireland

    John J. H. Miller

  3. Department of Mathematics, Bharathidasan University, Tiruchirappalli, India

    Ramanujam Narasimhan

  4. Department of Mathematics, Bishop Heber College, Tiruchirappalli, India

    Paramasivam Mathiazhagan

  5. Department of Mathematics, Bishop Heber College, Tiruchirappalli, Tamil Nadu, India

    Franklin Victor

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Narasimhan, R. (2016). Singularly Perturbed Delay Differential Equations and Numerical Methods. In: Sigamani, V., Miller, J., Narasimhan, R., Mathiazhagan, P., Victor, F. (eds) Differential Equations and Numerical Analysis. Springer Proceedings in Mathematics & Statistics, vol 172. Springer, New Delhi. https://doi.org/10.1007/978-81-322-3598-9_3

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