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Corrected typo in function name and doctests. rkf45.py (#10518)
* Corrected typo in function name and doctests. rkf45.py There was a mistake in name of function (runge_futta_fehlberg instead of runge_kutta_fehlberg) . I have corrected this in function name and also doctest. * [pre-commit.ci] auto fixes from pre-commit.com hooks for more information, see https://pre-commit.ci * Rename rkf45.py to runge_kutta_fehlberg_45.py * Update runge_kutta_fehlberg_45.py --------- Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com> Co-authored-by: Christian Clauss <cclauss@me.com>
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@ -7,7 +7,7 @@ from collections.abc import Callable
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import numpy as np
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def runge_futta_fehlberg_45(
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def runge_kutta_fehlberg_45(
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func: Callable,
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x_initial: float,
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y_initial: float,
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@ -33,33 +33,35 @@ def runge_futta_fehlberg_45(
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# exact value of y[1] is tan(0.2) = 0.2027100937470787
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>>> def f(x, y):
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... return 1 + y**2
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>>> y = runge_futta_fehlberg_45(f, 0, 0, 0.2, 1)
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>>> y = runge_kutta_fehlberg_45(f, 0, 0, 0.2, 1)
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>>> y[1]
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0.2027100937470787
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>>> def f(x,y):
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... return x
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>>> y = runge_futta_fehlberg_45(f, -1, 0, 0.2, 0)
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>>> y = runge_kutta_fehlberg_45(f, -1, 0, 0.2, 0)
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>>> y[1]
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-0.18000000000000002
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>>> y = runge_futta_fehlberg_45(5, 0, 0, 0.1, 1)
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>>> y = runge_kutta_fehlberg_45(5, 0, 0, 0.1, 1)
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Traceback (most recent call last):
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...
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TypeError: 'int' object is not callable
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>>> def f(x, y):
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... return x + y
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>>> y = runge_futta_fehlberg_45(f, 0, 0, 0.2, -1)
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>>> y = runge_kutta_fehlberg_45(f, 0, 0, 0.2, -1)
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Traceback (most recent call last):
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...
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ValueError: The final value x must be greater than initial value of x.
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ValueError: The final value of x must be greater than initial value of x.
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>>> def f(x, y):
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... return x
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>>> y = runge_futta_fehlberg_45(f, -1, 0, -0.2, 0)
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>>> y = runge_kutta_fehlberg_45(f, -1, 0, -0.2, 0)
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Traceback (most recent call last):
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...
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ValueError: Step size must be positive.
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"""
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if x_initial >= x_final:
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raise ValueError("The final value x must be greater than initial value of x.")
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raise ValueError(
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"The final value of x must be greater than initial value of x."
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)
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if step_size <= 0:
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raise ValueError("Step size must be positive.")
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