Solving an Ordinary Differential Equations System

  • Liliane Maria Ferrareso Lona

Abstract

In ordinary differential equations (ODEs), dependent variables (such as temperature, concentration, etc.) vary with only one independent variable (a spatial variable or time). In this way, all lumped-parameter problems in a transient regime, as well as all distributed-parameter problems in a steady state varying by just one of the three spatial variables, are described by ODEs.

References

  1. Billo, E.J.: Excel for Scientists and Engineers Numerical Methods. Wiley, Hoboken (2007)CrossRefGoogle Scholar
  2. Chapra, C.C., Canale, R.P.: Numerical Methods for Engineers, 5th edn. McGraw Hill, New York (2005)Google Scholar
  3. Davis, M.E.: Numerical Methods and Modeling for Chemical Engineers. Wiley, New York (1984)Google Scholar
  4. Incropera, F.P., DeWitt, D.P., Bergman, T.L., Lavine, A.S.: Introduction to Heat Transfer, 5th edn. Wiley, Hoboken (2006)Google Scholar
  5. Rao, S.S.: Applied Numerical Methods for Engineers and Scientists. Prentice Hall, Upper Saddle River (2002)Google Scholar
  6. Varma, A., Morbidelli, M.: Mathematical Methods in Chemical Engineering. Oxford University Press, Oxford (1997)Google Scholar
  7. Walkenbach, J.: Excel VBA Programing for Dummies, 3rd edn. Wiley, Hoboken (2013a)Google Scholar
  8. Walkenbach, J.: Excel Bible. Wiley, Hoboken (2013b)Google Scholar

Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  • Liliane Maria Ferrareso Lona
    • 1
  1. 1.School of Chemical EngineeringUniversity of CampinasCampinasBrazil

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