cfgnunes / numerical-methods-matlab

Numerical methods implementation in MATLAB.

Numerical Methods in MATLAB

Numerical methods implementation in MATLAB.

For the implementation in Python, see this repository.

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