FINITE ELEMENT METHOD FOR SECOND-ORDER LINEAR DIFFERENTIAL EQUATIONS OF ELLIPTIC TYPE
DOI:
https://doi.org/10.55640/Keywords:
approximation, basis functions, finite elements, PDE, mixed boundary value problem.Abstract
In this work, an integral equation is presented for solving second-order linear differential equations of elliptic type using the finite element method. In addition, basis functions of two variables are constructed in a bounded domain on the plane.
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References
1. Zhilin Li, Zhonghua Qiao, Tao Tang. Numerical Solution of Differential Equations. Cambridge University Press, 2018.
2. Hayotov A. R., Doniyorov N. N. Construction of an optimal interpolation Formula Exact for trigonometric functions. Modern problems of applied mathematics and information technology, AIP Conference Proceedings, 2024. Vol.300. Pp.06051-1-06051-11, https://doi.org/10.1063/5.0199916.
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