This project focuses on the numerical approximation of integrals using Chebyshev polynomials. It implements and compares the Trapezoidal and Simpson's methods for integral approximation.
- Implements numerical integration using Trapezoidal and Simpson's methods.
- Utilizes Chebyshev polynomials of the first and second kind.
- Includes error measurement and optimization techniques.
- Add the project folders to the MATLAB search path.
- Use provided functions (
trapezoidal,simpson,chebyshev_combination) for integral calculations. - Explore the GUI application (
examplesGUI.mlapp) for visual demonstration and error analysis.
- Several examples (
chebyshev_example_1,chebyshev_example_2, etc.) are provided to demonstrate the effectiveness of the methods in different scenarios.
- The project includes a detailed analysis of the errors associated with each method, including heat maps and relative error comparisons.
- Hubert Kowalski
- Adam Kaniasty
- 25.11.2023