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from edosolver import RK4Solver, EulerSolver
from math import pi
def free_fall_acceleration(t,y):
# y = [x,v]
dv = - 9.81 - 0.00315 * abs(y[1]) * y[1]
dx = y[1]
return [dx,dv]
def oscillation(t,y):
return[y[1],-y[0]]
start = 0
stop = 30
dt = 0.01
dt_store = 0.1
solution_oscillation_euler = EulerSolver(oscillation,[1,0],start,stop,dt,dt_store)
solution_oscillation_euler.solve()
solution_oscillation_euler.draw()
solution_oscillation_rk4 = RK4Solver(oscillation,[1,0],start,stop,dt,dt_store)
solution_oscillation_rk4.solve()
solution_oscillation_rk4.draw()
solution_oscillation_rk4.draw_diff(solution_oscillation_euler)
solution_free_fall_euler = EulerSolver(free_fall_acceleration,[0,0], start, stop, dt,dt_store)
solution_free_fall_euler.solve()
solution_free_fall_euler.draw()
solution_free_fall_rk4 = RK4Solver(free_fall_acceleration,[0,0], start, stop, dt,dt_store)
solution_free_fall_rk4.solve()
solution_free_fall_rk4.draw()
solution_free_fall_rk4.draw_diff(solution_free_fall_euler)