https://github.com/cfgnunes/numerical-methods-matlab

differential-equations linear-systems matlab newton numerical-analysis numerical-methods runge-kutta taylor

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Numerical methods implementation in MATLAB.

Host: GitHub
URL: https://github.com/cfgnunes/numerical-methods-matlab
Owner: cfgnunes
License: mit
Created: 2017-10-10T05:35:09.000Z (over 8 years ago)
Default Branch: main
Last Pushed: 2024-05-02T05:38:08.000Z (about 2 years ago)
Last Synced: 2025-12-14T00:28:03.115Z (6 months ago)
Topics: differential-equations, linear-systems, matlab, newton, numerical-analysis, numerical-methods, runge-kutta, taylor
Language: MATLAB
Homepage:
Size: 52.7 KB
Stars: 40
Watchers: 4
Forks: 17
Open Issues: 0
Metadata Files:
- Readme: README.md
- License: LICENSE.md

README

# Numerical Methods in MATLAB

Numerical methods implementation in MATLAB.

For the implementation in Python, see [this repository](https://github.com/cfgnunes/numerical-methods-python).

## Getting Started

### Running the examples

To run the main example, use:

main

## Implementations

### Solutions of equations

- Bisection method
- Newton method
- Secant method

### Interpolation

- Lagrange method
- Neville method

### Algorithms for polynomials

- Briot-Ruffini method
- Newton's Divided-Difference method

### Numerical differentiation

- Backward-difference method
- Three-Point method
- Five-Point method

### Numerical integration

- Composite Trapezoidal method
- Composite 1/3 Simpson's method

### Initial-value problems for ordinary differential equations

- Euler's method
- Taylor's (Order Two) method
- Taylor's (Order Four) method
- Runge-Kutta (Order Four) method

### Systems of differential equations

- Runge-Kutta (Order Four) method

### Methods for Linear Systems

- Gaussian Elimination
- Backward Substitution
- Forward Substitution

### Iterative Methods for Linear Systems

- Jacobi method
- Gauss-Seidel method