THE GALERKIN FINITE ELEMENT METHOD FOR 1D BOUNDARY VALUE PROBLEMS

Authors

  • Doniyorov N. N Asia International University, 74, Gijduvon str.

Keywords:

Basis functions, ordinary differential equation, boundary value problem, finite element, interpolation, interpolation formula, bilinear form.

Abstract

This article presents an algorithm for solving 1D boundary value problems using the Galerkin finite element method. Furthermore, new local basis functions for the Galerkin finite element method are introduced, and it is established that these functions are fundamental splines.

References

Doniyorov N. N. Algebro-trigonometric optimal interpolation formula in a Hilbert space. Problems of computational and applied mathematics, no. 3/1 (50), 2023. Pp. 5-19.

Hayotov A. R., Doniyorov N. N. Modern problems of applied mathematics and information technology, Bukhara, 2024. AIP Conference Proceedings. -pp. 06051-1–06051-11. https://doi.org/10.1063/5.0199916

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Published

2026-05-15

How to Cite

Doniyorov N. N. (2026). THE GALERKIN FINITE ELEMENT METHOD FOR 1D BOUNDARY VALUE PROBLEMS. Ethiopian International Journal of Multidisciplinary Research, 13(5), 1028–1030. Retrieved from https://eijmr.org/index.php/eijmr/article/view/6793

Issue

Vol. 13 No. 5 (2026): Ethiopian International Journal of Multidisciplinary Research

Section

Articles