scm20367104703 0.1.1

This is package . A example package to find Roots of eqaution and solves an ordinary differential equation (ODE).

scm20367104703

scm20367104703is A example package to find Roots of eqaution and solves an ordinary differential equation (ODE).

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Features

• Fixed-Point Iteration: use a function fixed_point() to use Fixed_point method
• Secant Method: use a function secant() to use Secant method
• 2nd-order Runge-Kutta: Use function rk2()solves an ordinary differential equation (ODE) of the form $$ \frac{dy}{dx} = f(t, y) $$ using the 2nd-order Runge-Kutta method (Midpoint Method).
• 5nd-order Runge-Kutta : Use rk5() Solves the same type of ODE using a more accurate 5th-order Runge-Kutta method.

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Installation

You can install the package directly from PyPI:

pip install scm20367104703

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Example1

    def g(x):
        return (x**2 + 3) / 5
    initial_guess = 0.5
    root, iterations = fixed_point(g, initial_guess)
    print(f"\nApproximate: {root}")

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Example2

    def f(x):
        return x**3 - x - 2
    root, iterations = secant(f, 1, 2)
    print(f"\nApproximate : {root}")

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Example3

    def f(t, y):
        return y - t**2 + 1
    t0 = 0.0
    y0 = 0.5
    h = 0.5
    n_steps = 8
    rk2(f, t0, y0, h, n_steps)

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Example4

    def f(t, y):
        return y - t**2 + 1
    t0 = 0.0
    y0 = 0.5
    h = 0.5
    n_steps = 8
    rk5(f, t0, y0, h, n_steps)