Chegaraviy masalalarni yechishda zamonaviy sonli usullarning qo‘llanilishi va ularning samaradorligi tahlili

Application of modern numerical methods to solving boundary value problems and analysis of their efficiency

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Published: 2026-10-31
DOI: https://doi.org/10.66073/ReFocus-Conf/0910245
Keywords:
boundary value problem, finite difference method, finite element method, shooting method, spectral collocation, convergence, stability

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Saparova Aysanem Ajiniyazovna
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Abstract

The paper considers modern numerical methods for two-point boundary value problems for second-order ordinary differential equations: the finite difference method, the finite element method, the shooting method and Chebyshev spectral collocation. Their accuracy, order of convergence and stability are compared on a test problem with a known exact solution, and practical recommendations for choosing a method are given.

Article Details

Issue

2026: Proceedings of the International Scientific and Practical Conference “Contribution of Women Scientists of Uzbekistan to the Development of the Country” (Nukus, October 9–10, 2026)

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Articles
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This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Saparova Aysanem Ajiniyazovna. (2026). Application of modern numerical methods to solving boundary value problems and analysis of their efficiency. Partner Conferences of the International Scientific Journal Research Focus, 1196-1200. https://doi.org/10.66073/ReFocus-Conf/0910245

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