computational-physics-in-python

Python codes for computational physics. This repository was created when I was working as teaching aid for computational physics course at NITS. It contains codes for solving numerical methods in python language.

This repository Includes Codes for

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Root Finding

• Bisection Method
• Newton Raphson Method
• Secant Method.
• Regula Falsi Method.

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Interpolation

• Newton's Interpolation
• Lagrange Interpolation
• Getting Polynomial through Newton's and Lagrange Interpolation.

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Regression and Curve Fitting

• Linear Regression.
• Polynomial Curve Fitting.
• Curve fitting using python built-in functions.

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Numerical Differentiation

• Finite Difference Method.
• Differentation using built-in functions.

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Numerical Integration

• Trapezoidal Rule
• Simpson's 1/3 Rule
• Simpson's 3/8 Rule
• Double Integration.

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System of Linear Equations

• Gauss Elimination Method
• Diagonal Dominance.
• Jacobi's Method
• Gauss-Seidel's Method
• Gauss-Jordan Method

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Solution of Ordinary Differential Equations

• Euler's Method
• Second Order Runge-Kutta Method.
• Fourth Order Runge-Kutta Method.

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Miscellaneous

Star Pattern

• Simple pyramid.
• Centred Pyramid.
• Square pattern of stars.
• Downward Half Pyramid.
• Full Downward Pyramid.

A simple calculator with GUI

Random Number Generator

Finding average (Mean, Median, Mode)