Table des matières
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Integration of Ordinary Differential Equations
- Ordinary Differential Equations (ODE, ODEs)
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- « most widely known member of the Runge–Kutta family is generally referred to as “RK4”, “classical Runge–Kutta method” or simply as “the Runge–Kutta method »
applications
- chemical kinetics
- population dynamics, Logistic function (and equation)
- Pierre François Verhulst model and non-linearity
- bifurcation, period doubling and routes to chaos
- Oscillating chemical reactions : Belousov-Zhabotinsky, Brusselator, Oregonator
- Lotka–Volterra equations (predator–prey equations)
Références
- Numerical recipes, The Art of Scientific Computing 3rd Edition, William H. Press, Saul A. Teukolsky, William T. Vetterling, Brian P. Flannery, 2007, isbn: 9780521880688