lecture3 - From Gehard Ertls Chemistry Nobel Prize...

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From Gehard Ertl’s Chemistry Nobel Prize Lecture (2007)
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In catalysis experiment, CO = hares, O 2 = lynxes
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Code for Euler approach… Declarations Euler method (forward-centered) for Lotka-Volterra IMPLICIT NONE INTEGER, PARAMETER :: Prec14=SELECTED_REAL_KIND(14) REAL(Kind=Prec14), PARAMETER :: dt=0.01d0 ! timestep REAL(Kind=Prec14), PARAMETER :: time=200.0d0 ! total simulation time REAL(Kind=Prec14), PARAMETER :: x0=0.1d0 ! initial x value REAL(Kind=Prec14), PARAMETER :: y0=0.2d0 ! initial y value REAL(Kind=Prec14), PARAMETER :: alpha1=1.0d0,alpha2=1.0d0,beta1=1.0d REAL(Kind=Prec14) :: x,xn ! current population x, next population xn REAL(Kind=Prec14) :: y,yn ! current population y, next population yn REAL(Kind=Prec14) :: t ! current time INTEGER :: nsteps,n
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nsteps=anint(time/dt) ! number of integration steps, integer value x=x0 ; y=x0 ! set initial populations x,y t=0.0d0 do n=1,nsteps t=t+dt ! step forward time t
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  • Fall '08
  • Johnson,M
  • Nobel Prize, current population, Nobel Prize in Chemistry, Midpoint method, Runge–Kutta methods, Gehard Ertl

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