INTEGRAL TENGLAMALARNING ZAMONAVIY YECHIM USULLARI

Authors

  • Xurramova Muxlisa Kattaqo‘rg‘on Davlat Pedagogika instituti Aniq va tabiiy fanlar fakulteti Matematika yo'nalishi m_25_01 guruh talabasi Author

DOI:

https://doi.org/10.5281/zenodo.20379994

Keywords:

integral equation, Fredholm equation, Volterra equation, Nyström method, Galerkin method, collocation method.

Abstract

This article analyzes the theoretical foundations of integral equations and modern methods for solving them. Integral equations are widely used in mathematics, physics, engineering, economics, and biology to model complex processes.

References

Linear Integral Equations. Boston: Birkhäuser, 1997. B. 15–42, 85–118.

A Survey of Numerical Methods for the Solution of Fredholm Integral Equations of the Second Kind. Philadelphia: Society for Industrial and Applied Mathematics, 1976. B. 23–67.

Linear Integral Equations. New York: Springer, 2014. B. 41–96, 183–245.

Analytical and Numerical Methods for Volterra Equations. Oxford: Oxford University Press, 2004. B. 52–134.

Integral Equations and Applications. Cambridge: Cambridge University Press, 1991. B. 29–88.

The Numerical Solution of Integral Equations of the Second Kind. Cambridge: Cambridge University Press, 1997. B. 71–156.

Integral Equations. New York: Dover Publications, 1985. B. 17–93.

Introduction to Integral Equations with Applications. Hoboken: John Wiley & Sons, 1999. B. 35–112.

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Published

2026-05-25

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Section

Articles

How to Cite

Xurramova, M. (2026). INTEGRAL TENGLAMALARNING ZAMONAVIY YECHIM USULLARI. Young Scientists, 4(51), 82-84. https://doi.org/10.5281/zenodo.20379994
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