A comparative study on the convergence and accuracy of numerical integration methods

Jumaboyev Asadbek Shokirjon ugli

Innovation science and technologiy · 2025-yil

Annotatsiya

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.

Maqola ma’lumotlari
MualliflarJumaboyev Asadbek Shokirjon ugli
JurnalInnovation science and technologiy
NashriyotТошкент давлат иқтисодиёт университети
Nashr sanasi2025-08-01
Jild1
Son8
Betlar31-33
TilIngliz
DOI10.5281/zenodo.17447678
Indeksga qo‘shilgan2026-08-26

DOI: 10.5281/zenodo.17447678 · Maqolaning asl sahifasi

Kalit so‘zlar

Numerical Integration, Quadrature, Simpson’s Rule, Trapezoidal Rule, Error Analysis, Rate of Convergence, Numerical Methods.

Iqtibos keltirish

APAJumaboyev Asadbek Shokirjon ugli (2025). A COMPARATIVE STUDY ON THE CONVERGENCE AND ACCURACY OF NUMERICAL INTEGRATION METHODS. Innovation science and technologiy, 1(8), 31-33. https://doi.org/10.5281/zenodo.17447678
GOST (OAK)Jumaboyev Asadbek Shokirjon ugli A COMPARATIVE STUDY ON THE CONVERGENCE AND ACCURACY OF NUMERICAL INTEGRATION METHODS // Innovation science and technologiy. – 2025. – T. 1, № 8. – P. 31-33. – DOI: 10.5281/zenodo.17447678.
MLAJumaboyev Asadbek Shokirjon ugli. “A COMPARATIVE STUDY ON THE CONVERGENCE AND ACCURACY OF NUMERICAL INTEGRATION METHODS.” Innovation science and technologiy, 1(8), 31-33, 2025. https://doi.org/10.5281/zenodo.17447678
ChicagoJumaboyev Asadbek Shokirjon ugli. “A COMPARATIVE STUDY ON THE CONVERGENCE AND ACCURACY OF NUMERICAL INTEGRATION METHODS.” Innovation science and technologiy, 1(8), 31-33 (2025). https://doi.org/10.5281/zenodo.17447678
HarvardJumaboyev Asadbek Shokirjon ugli (2025) ‘A COMPARATIVE STUDY ON THE CONVERGENCE AND ACCURACY OF NUMERICAL INTEGRATION METHODS’, Innovation science and technologiy, 1(8), 31-33. https://doi.org/10.5281/zenodo.17447678
BibTeX
@article{jumaboyevasadbekshokirjonugli2025,
  title = {A COMPARATIVE STUDY ON THE CONVERGENCE AND ACCURACY OF NUMERICAL INTEGRATION METHODS},
  author = {Jumaboyev Asadbek Shokirjon ugli},
  journal = {Innovation science and technologiy},
  year = {2025},
  volume = {1},
  number = {8},
  pages = {31-33},
  doi = {10.5281/zenodo.17447678},
  url = {https://doi.org/10.5281/zenodo.17447678}
}

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