numerical-methods-matlab
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Numerical methods implementation in MATLAB.
Numerical Methods
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