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Nonlinear Differential Equations: Application to Chemical Kinetics

In: An Introduction to Scientific Computing

Author

Listed:
  • Ionut Danaila

    (Université de Rouen Normandie, CNRS, Laboratoire de mathématiques Raphaël Salem)

  • Pascal Joly

    (Laboratoire Jacques-Louis Lions)

  • Sidi Mahmoud Kaber

    (Sorbonne Université, CNRS, Université Paris Cité, Laboratoire Jacques-Louis Lions)

  • Marie Postel

    (Sorbonne Université, CNRS, Université Paris Cité, Laboratoire Jacques-Louis Lions)

Abstract

The laws governing chemical kinetics can be written as systems of ordinary differential equations (ODE). In the case of complex reactions with several different participating molecules, these equations are nonlinear and present interesting mathematical properties (stability, periodicity, bifurcation, etc.). The numerical solution of this type of system is a domain of study in itself with flourishing literature. This chapter presents two seminal examples of such problems along with their numerical treatment.

Suggested Citation

  • Ionut Danaila & Pascal Joly & Sidi Mahmoud Kaber & Marie Postel, 2023. "Nonlinear Differential Equations: Application to Chemical Kinetics," Springer Books, in: An Introduction to Scientific Computing, edition 2, chapter 0, pages 35-51, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-35032-0_2
    DOI: 10.1007/978-3-031-35032-0_2
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