This study investigates the accuracy of three fundamental numerical integration methods: the Rectangle Rule,Trapezoidal Rule, and Simpson’s Rule. We approximate the defnite integral of a smooth function, f (x) = sin(x) + 1, overa fxed interval. By analyzing the absolute error as the number of subintervals increases, we empirically demonstratethe methods’ rates of convergence. The results clearly show that Simpson’s Rule, with its higher-order O(h) accuracy,converges signifcantly faster than the O(h²) accuracy of the other two methods.
| Mualliflar | Jumaboyev Asadbek Shokirjon ugli |
|---|---|
| Jurnal | Innovation science and technologiy |
| Nashr sanasi | 2025-08-01 |
| Jild | 1 |
| Son | 8 |
| Betlar | 31-33 |
| Til | Ingliz |
| DOI | 10.5281/zenodo.17447678 |
DOI: 10.5281/zenodo.17447678 · Maqolaning asl sahifasi
Numerical Integration, Quadrature, Simpson’s Rule, Trapezoidal Rule, Error Analysis, Rate of Convergence, Numerical Methods.
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