Nonlinear Differential Equations: Application to Chemical Kinetics

Ionut Danaila (), Pascal Joly, Sidi Mahmoud Kaber and Marie Postel
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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

Chapter Chapter 2 in An Introduction to Scientific Computing, 2023, pp 35-51 from Springer

Abstract: 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.

Date: 2023
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DOI: 10.1007/978-3-031-35032-0_2

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