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Next: 4.2.1 Verlet Method Up: 4. Ordinary Differential Equations Previous: 4.1.6 Runge-Kutta Method


4.2 Initial Value Problems of Second Order


$\displaystyle \frac{d^{2}y}{dt^{2}}=b[y,dy/dt]$      



Example: generic equation of motion,
$\displaystyle \frac{d^{2}\mbox{$\bf r$}}{dt^{2}}=\frac{1}{m}\mbox{$\bf K$}[\mbox{$\bf r$}(t)]$      





Subsections

Franz J. Vesely Oct 2005
See also:
"Computational Physics - An Introduction," Kluwer-Plenum 2001