scm203lab267101691 0.1.1

Roots of equation and Differential equation

scm203lab267101691 is a lightweight Python package that provides simple utility functions for The bisection method, Newton's method, 3-order Runge-Kutta method and 4-order Runge-Kutta method. It is designed mainly for learning purposes and as an example of Python packaging.

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Features

• Module 1
  • The bisection method: finding root of f in [a,b] with error tolerance
  • Newton's method: finding root of f with initial guess x0 and error tolerance
• Module 2
  • 3-order Runge-Kutta method: solve the ODE y' = f(t, y) using the 3rd-order Runge-Kutta method.
  • 4-order Runge-Kutta method: solve the ODE y' = f(t, y) using the 4th-order Runge-Kutta method.

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Installation

You can install the package directly from PyPI:

pip install scm203lab267101691

Examples

import scm203lab267101691 as scm
print("bisection ≈",scm.bisection(lambda x: x**3+x-1,0,1,0.001,10))
print("newton ≈",scm.newton(lambda x: x**3+x-1,lambda x: 3*x**2+1,1,0.001,10))
print(scm.order_3_runge(lambda t, y: y - t**2 + 1, 0, 2, 10, 0.5))
print(scm.order_4_runge(lambda t, y: y - t**2 + 1, 0, 2, 10, 0.5))