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@@ -1,7 +1,18 @@
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#!/usr/bin/env python
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"""
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Integrator
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Integrate differential equations.
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@ Author: Moussouni, Yaël (MSc student) & Bhat, Junaid Ramzan (MSc student)
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@ Institution: Université de Strasbourg, CNRS, Observatoire astronomique
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de Strasbourg, UMR 7550, F-67000 Strasbourg, France
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@ Date: 2024-11-29
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"""
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import numpy as np
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def euler(x0, y0, h, n, func): # FIXME cannot be used with vectors
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"""
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"""DEPRECIATED - DO NOT USE
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Euler method adapted for state vector [[x, y], [u, v]]
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:param x0: initial time value
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:param y0: initial state vector [[x, y], [u, v]]
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@@ -25,7 +36,7 @@ def euler(x0, y0, h, n, func): # FIXME cannot be used with vectors
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# Updated RK2 integrator
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def rk2(x0, y0, h, n, func): # FIXME cannot be used with vectors
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"""
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""" DEPRECIATED - DO NOT USE
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RK2 method adapted for state vector [[x, y], [u, v]]
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:param x0: initial time value
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:param y0: initial state vector [[x, y], [u, v]]
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@@ -54,14 +65,15 @@ def rk4(t0: float,
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h: float,
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n: int,
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func):
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"""
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RK4 method adapted for state vector [[x, y], [u, v]]
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:param x0: initial time value
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:param y0: initial state vector [[x, y], [u, v]]
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:param h: step size (time step)
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:param n: number of steps
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:param func: RHS of differential equation
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:returns: x array, solution array
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"""RK4 method adapted for state vector [[x, y], [u, v]]
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@ params
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- x0: initial time value
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- y0: initial state vector [[x, y], [u, v]]
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- h: step size (time step)
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- n: number of steps
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- func: RHS of differential equation
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@returns:
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- t, W: time and state (solution) arrays,
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"""
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time = np.zeros(n)
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W = np.zeros((n,) + np.shape(W0))
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@@ -84,4 +96,5 @@ def rk4(t0: float,
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def integrator_type(x0, y0, h, n, func, int_type):
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"""DEPRECIATED - DO NOT USE"""
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return int_type(x0, y0, h, n, func)
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