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Unformatted text preview: r] #More specific to a mechanical system in which velocity and position # of an object are computed based on a particular force field (acceleration) def rk4(x, v, a, dt): """Returns final (position, velocity) tuple after time dt has passed. x: initial position (number-like object) v: initial velocity (number-like object) a: acceleration function a(x,v,dt) (must be callable) dt: timestep (number)""" x1 = x v1 = v a1 = a(x1, v1, 0) x2 = x + 0.5*v1*dt v2 = v + 0.5*a1*dt a2 = a(x2, v2, dt/2.0) x3 = x + 0.5*v2*dt v3 = v + 0.5*a2*dt a3 = a(x3, v3, dt/2.0) x4 = x + v3*dt v4 = v + a3*dt a4 = a(x4, v4, dt) xf = x + (dt/6.0)*(v1 + 2*v2 + 2*v3 + v4) vf = v + (dt/6.0)*(a1 + 2*a2 + 2*a3 + a4) return xf, vf...
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This note was uploaded on 10/05/2010 for the course PHYS phy503 taught by Professor Gladden during the Spring '09 term at Ole Miss.
- Spring '09