forked from idrl/idrlnet
26 lines
748 B
Python
26 lines
748 B
Python
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import idrlnet.shortcut as sc
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import math
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import sympy as sp
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import numpy as np
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import matplotlib.pyplot as plt
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order = 10
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s = 0
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h = 1
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cv = 0.6
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x, t = sp.symbols('x t')
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for k in range(1, order + 1):
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s += (-1) ** (k - 1) / (2 * k - 1) * sp.cos((2 * k - 1) * math.pi * x / 2 / h) * sp.exp(
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-(2 * k - 1) ** 2 * math.pi ** 2 / 4 * cv * t / h / h)
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p_ratio = s * 4 / math.pi
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p_ratio_fn = sc.lambdify_np(p_ratio, ['t', 'x'])
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if __name__ == '__main__':
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t_num = np.linspace(0.01, 1, 100, endpoint=True)
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z_num = np.linspace(0.01, 1, 100, endpoint=True)
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tt_num, zz_num = np.meshgrid(t_num, z_num)
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p_ratio_num = p_ratio_fn(tt_num, zz_num)
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plt.scatter(tt_num, zz_num, c=p_ratio_num, cmap='jet', vmin=0, vmax=1)
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plt.show()
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